# The Research and Impact of the Works by Don Nield **Authors:** Sid Becker, David Dempsey, Dan Zhao **Published in:** Transport in Porous Media (2025) **DOI (version of record):** https://doi.org/10.1007/s11242-025-02199-9 **This copy:** Published version. Text extracted from the PDF at https://ddempsey.github.io/papers/2025-becker-research-impact-works-don-nield/becker2025-research-impact-works.pdf; equations, tables and figure placement may be imperfect, so cite the DOI. **Notice:** Published version, reproduced under the CC BY 4.0 licence. © The Author(s). Version of record: https://doi.org/10.1007/s11242-025-02199-9 **Licence:** CC BY 4.0 https://creativecommons.org/licenses/by/4.0 --- Transport in Porous Media (2025) 152:61 https://doi.org/10.1007/s11242-025-02199-9 # **The Research and Impact of the Works by Don Nield** ### **Sid Becker****1** **· David Dempsey****2** **· Dan Zhao** Received: 15 April 2025 / Accepted: 10 June 2025 / Published online: 16 July 2025 © The Author(s) 2025 ### **Abstract** This is a commemoration of the work of Don Nield. His theoretical and applied mathematical models have had a tremendous impact in many fields including convection heat and mass transfer, stability analysis, nanofluid enhanced convection, and flows in porous media. Here the major contributions of Don Nield’s Scopus-indexed outputs are reviewed. His research outputs and related impact are presented chronologically. The citation counts are presented with respect to each work published in that year. The work and impact of Don Nield as single author and in his collaborations are presented. **Keywords** Don Nield · Commemorative · Porous media · Review ## **1 The Contributions of Don Nield** Don Nield was a prolific researcher and mathematician, and for more than 50 years, he made immense contributions to our understanding of convection, stability analysis, and transport processes in porous media (Nield 1964, 1966a, b, c, 1967, 1968a, b, 1974a, b, 1975, 1977, 1978, 1982, 1983a, b, 1987a, b, c, 1989, 1991a, b, c, 1993, 1994a, b, c, d, e, f, 1995a, b, 1994g, 1996, 1997, 1998a, b, c, d, 1999, 2000a, b, 2001a, b, c, d, 2002, 2003, 2004a, 2006a, b, 2007a, b, 2008a, b, c, 2004b, 2009a, b, c, d, 2011a, b, c, d, 2012, 2015, 2016; Joseph and Nield 1975; Joseph et al. 1982, 1983; Cohen and Nield 1985; Nield and Joseph 1985; Bejan and Nield 1991; Nield and Bejan 1992, 1999, 2006, 2013, 2017; Nield and Lage 1993, 1997, 1998; Manole et al. 1994; Nield et al. 1996, 1999, 2001, 2002, 2003a, b, 2004a, b, c, 2008, 2009, 2010, 2011, 2013, 2015, 2016; Lage et al. 1997a, b; Nield 1997; Lage and Nield 1998; Nield and Kuznetsov 1999, 2000, 2001a, b, 2003a, b, c, d, e, 2004a, b, c, 2005a, b, c, d, e, 2006a, b, c, d, 2007a, b, c, d, e, f, g, h, 2008a, b, c, d, 2009a, b, c, d, 2010a, b, c, d, e, f, 2011a, b, c, d, e, f, g, h, i, j, 2012a, b, 2013a, b, c, d, e, f, g, h, i, j, k, 2014a, b, c, d, e, f, 2015a, b, c, d, 2016a, b, c, 2019; Kuznetsov and Nield 2001, 2006a, b, 2008a, b, 2009a, b, c, 2010a, b, c, d, e, f, 2006c, 2011a, b, c, d, 2012a, b, 2013a, > * Sid Becker > sid.becker@canterbury.ac.nz > 1 Department of Mechanical Engineering, Faculty of Engineering, University of Canterbury, Christchurch, New Zealand > 2 Department of Civil and Natural Resources Engineering, Faculty of Engineering, University of Canterbury, Christchurch, New Zealand Vol.:(0123456789) S. Becker et al. **61** Page 2 of 17 b, c, 2014a, b, 2015, 2016; Narasimhan et al. 2001a, b; Kuznetsov et al. 2003, 2010, 2011, 2015; Haji-Sheikh et al. 2006; Nield and Hooman 2006; Avramenko et al. 2007; Hooman et al. 2007; Kelly et al. 2007; Love et al. 2007; Nield and Simmons 2007, 2019; Rees et al. 2008; Simmons et al. 2008, 2010; Vadasz and Nield 2008; Barletta and Nield 2009a, b, c, d, 2010a, b, 2011a, b, a, b, c, d, 2009, 2010a, b, 2012; Barletta et al. 2010, 2011, 2014, 2016; Rees and Nield 2016). Don was a mathematician based in the University of Auckland’s Department of Engineering Science and the breadth and impact of his research is an inspiration. Some of his earliest papers, which have been cited more than 500 times, concern buoyancy in convection, and these would eventually lead him to his major body of work on stability analysis and the onset of convection (often in porous media). Don’s work related to convection in nanofluid-saturated porous media has been transformative in advancing the field’s knowledge of both theoretical and applied heat transfer, and in this, he effectively started an entire field. Don published over 190 works related to flow in porous media, over 160 of which concerned convection heat transfer. About one-third of Don’s publications were related to stability analysis and the onset of convection—and much of this helped to develop the field of nanofluids in porous media. His research on double-diffusive convection reshaped conventional theories of multi-phase flow and convective heat transfer. He integrated solute concentration and temperature gradients into porous media transport models, providing an explicit view of how these factors interact to influence stability and flow behaviour in complex systems. Don developed analytical models that investigated the influence of Brownian motion and thermophoresis in boundary layer flow (Nield and Kuznetsov 2009b, 2011i; Kuznetsov and Nield 2010c, 2013c, 2014a). He presented critical analyses of commonly held modelling approaches such as the applicability of the Brinkman–Forchheimer equation (Nield 1991c). Don’s work contributed to our understanding of stability analysis (Manole et al. 1994; Nield 2003, 2011b; Nield and Kuznetsov 2006a, 2007c, e, 2009a, 2010c, d, 2011c, e, f, g, h, 2012a, b, c, e, f, g, i, 2014b, f, 2015a, b, 2016a, b, c; Barletta and Nield 2009b, 2010a, b, 2011a, b, 2012a, b, d; Nield and Barletta 2009, 2012; Barletta et al. 2010, 2011, 2016; Kuznetsov and Nield 2010b, d, f, 2011a, b, 2012a, b, 2013a, b, 2014b, 2015, 2016; Simmons et al. 2010; Kuznetsov et al. 2011, 2015; Nield et al. 2011, 2015, 2016) both in non-porous (Barletta and Nield 2009b, 2010b, 2012d; Nield and Kuznetsov 2010c, 2011e, 2013c; Barletta et al. 2011; Nield and Barletta 2012; Kuznetsov and Nield 2016) and porous media (Manole et al. 1994; Nield 2003, 2011b; Nield and Kuznetsov 2006a, 2007c, e, 2009a, 2010d, 2011c, f, g, h, 2012a, b, 2013e, f, g, i, 2014b, f, 2015a, b, 2016a, b, c; Nield and Barletta 2009; Barletta et al. 2010, 2016; Barletta and Nield 2010a, 2011a, b, 2012a, b; Kuznetsov and Nield 2010b, d, f, 2011a, b, 2012a, b, 2013a, b, 2014b, 2015; Simmons et al. 2010; Kuznetsov et al. 2011, 2015; Nield et al. 2011, 2015, 2016). He developed models of thermal instability of nanofluid flows in porous media (Nield and Kuznetsov 2009a, 2011c, 2014b, 2015b; Kuznetsov and Nield 2010f) and in the fundamental plane channel Poiseuille flow (Barletta et al. 2011; Nield and Barletta 2012). Many of his contributions focused on determining the conditions required for the onset of convection in porous media (Nield 1968b, 1977, 1982, 1995b, 1996, 1998c, 2007a, 2011a, d; Nield et al. 2004a, 2009, 2010, 2011, 2015, 2016; Nield and Kuznetsov 2006a, 2007b, c, d, e, f, h, 2008c, d, 2010b, d, 2011a, f, g, h, 2012a, b, 2013b, e, f, g, i, 2014f, 2015a, 2016a, c, 2019; Nield and Simmons 2007; Kuznetsov and Nield 2008a, 2010b, d, 2011a, b, d, 2012a, b, 2013a, b, 2014b, 2015; Kuznetsov et al. 2010, 2011, 2015; Simmons et al. 2010; Rees and Nield 2016) and in the non-porous domain (Nield 1975; Nield and Kuznetsov 2006c, 2010a, c, 2011e, 2013c, 2014d, e; Barletta et al. 2011; Kuznetsov and Nield 2016). Don also produced many works on nanofluid flow (Nield and Kuznetsov 2009a, b, 2010a, c, Page 3 of 17 **61** The Research and Impact of the Works by Don Nield 2011c, e, i, 2012a, 2013a, g, k, 2014b, c, d, e, 2015b, c, d; Kuznetsov and Nield 2010b, c, d, f, 2011a, c, 2013c, 2014a; Nield 2011a). His rigorous approach to investigating complex, multi-dimensional phenomena in porous media and nanofluids has left an enduring influence on our understanding of convection in porous media and complex flow. By examining the influence of Brownian motion and thermophoresis on the onset of convection, Nield’s work developed what would become the current understanding of convective heat transfer, especially in nanofluid systems (Nield and Kuznetsov 2009a, b, 2010a, c, 2011c, e, i, 2012a, 2013g, 2014d, e; Kuznetsov and Nield 2010b, c, d, f, 2011a, c, 2013c, 2014a; Nield 2011a). His work provided significant insights into the complex dynamics of natural and double-diffusive convection (Kuznetsov and Nield 2011c, 2012a; Nield and Kuznetsov 2011e, 2013c, 2013i, 2016b; Kuznetsov et al. 2015; Nield et al. 2015). He showed that oscillatory instability in nanofluid systems can occur when the nanoparticle distribution is bottom-heavy, with the effect of nanoparticles primarily influencing buoyancy rather than the thermal energy equation and that oscillatory convection can be suppressed by modifying the boundary conditions for nanoparticle flux and that non-oscillatory convection is destabilized by the presence of nanoparticles (Nield and Kuznetsov 2006c, 2009a, 2010c, f, 2011c, 2013c, 2014b, d, 2015b, 2016b; Kuznetsov and Nield 2010f; Nield et al. 2015). Don addressed the onset of convection in nanofluid-saturated porous media, incorporating the effects of Brownian motion, thermophoresis, and local thermal non-equilibrium (LTNE) and showed that while LTNE effects are significant, in some cases, they are generally minimal for typical dilute nanofluids (Nield 1998d; Kuznetsov and Nield 2011a). Additionally, Don extended the Rayleigh–Bénard theory to new convection models, providing new analytical expressions for stability boundaries (Nield 1966a, b, 1987a, 1994b, 1997; Barletta and Nield 2009b). It is impossible to fully quantify the impact that Don’s work has had on the field of thermal fluid sciences and porous media. However, in the sections that follow, we consider some metrics—such as citation counts, publication numbers, and collaborations—that help place his influence in context. Don was a prolific author. His total number of works exceeds 270, nearly all of which are Scopus-indexed (Nield 1964, 1966a, b, c, 1967, 1968a, b, 1974a, b, 1975, 1977, 1978, 1982, 1983a, b, 1987a, b, c, 1989, 1991a, b, c, 1993, 1994a, b, c, d, e, f, 1995a, b, 1994g, 1996, 1997, 1998a, b, c, d, 1999, 2000a, b, 2001a, b, c, d, 2002, 2003, 2004a, 2006a, b, 2007a, b, 2008a, b, c, 2004b, 2009a, b, c, d, 2011a, b, c, d, 2012, 2015, 2016; Joseph and Nield 1975; Joseph et al. 1982, 1983; Cohen and Nield 1985; Nield and Joseph 1985; Bejan and Nield 1991; Nield and Bejan 1992, 1999, 2006, 2013, 2017; Nield and Lage 1993, 1997, 1998; Manole et al. 1994; Nield et al. 1996, 1999, 2001, 2002, 2003a, b, a, b, 2004c, 2008, 2009, 2010, 2011, 2013, 2015, 2016; Lage et al. 1997a, b; Nield 1997; Lage and Nield 1998; Nield and Kuznetsov 1999, 2000, 2001a, b, 2003a, b, c, d, e, 2004a, b, c, a, b, c, d, e, 2006a, b, c, d, 2007a, b, c, d, e, f, g, h, 2008a, b, c, d, 2009a, b, c, d, 2010a, b, c, d, e, f, 2011a, b, c, d, e, f, g, h, i, j, 2012a, b, 2013a, b, c, d, e, f, g, h, i, j, k, 2014a, b, c, d, e, f, 2015a, b, c, d, 2016a, b, c, 2019; Kuznetsov and Nield 2001, 2006a, b, 2008a, b, 2009a, b, c, 2010a, b, c, d, e, f, 2006c, 2011a, b, c, d, 2012a, b, 2013a, b, c, 2014a, b, 2015, 2016; Narasimhan et al. 2001a, b; Kuznetsov et al. 2003, 2010, 2011, 2015; Haji-Sheikh et al. 2006; Nield and Hooman 2006; Avramenko et al. 2007; Hooman et al. 2007; Kelly et al. 2007; Love et al. 2007; Nield and Simmons 2007, 2019; Rees et al. 2008; Simmons et al. 2008, 2010; Vadasz and Nield 2008; Barletta and Nield 2009a, b, c, d, 2010a, b, 2011a, b, 2012a, b, c, d; Nield and Barletta 2009, 2010a, b, 2012; Barletta et al. 2010, 2011, 2014, 2016; Rees and Nield 2016). His contributions have had enormous impact on the field. To date, his total S. Becker et al. **61** Page 4 of 17 citation count exceeds 22,000, and his top citation is nearly 7000. Twenty of his works have been cited more than 200 times, and thirty-five of his works have been cited more than 100 times. To provide a timeline context, Fig. 1 presents the annual number works Don produced along with the total (to date) citations of works published that year. ### **1.1 As Single Author** As single author Don published a total of 70 Scopus-indexed works, which have accumulated nearly 4000 citations (Nield 1964, 1966a, b, c, 1967, 1968a, b, 1974a, b, 1975, 1977, 1978, 1982, 1983a, b, 1987a, b, c, 1989, 1991a, b, c, 1993, 1994a, b, c, d, e, f, 1995a, b, 1994g, 1996, 1997, 1998a, b, c, d, 1999, 2000a, b, 2001a, b, c, d, 2002, 2003, 2004a, 2006a, b, 2007a, b, 2008a, b, c, 2004b, 2009a, b, c, d, 2011a, b, c, d, 2012, 2015, 2016; Nield 1997). Of these, 22 have been cited 50 or more times, and 9 have been cited more than 100 times. A depiction of his Scopus-indexed works and their associated citations is presented in Fig. 2. Here, the number of Don’s works per year is presented, along with the total (to date) citations of works published that year. Even his very early works had high impact; his 1964 publication “ _Surface Tension and Buoyancy Effects in Cellular Convection”_ (Nield 1964) has been cited more than 500 times, and his 1968 “ _Onset of Thermohaline Convection in a Porous Medium_ ” (Nield 1968b) _has been cited more than 550 times._ These clearly indicate the research themes of porous media, and convection heat transfer that would be seen in his many later contributions. His most influential works as an independent author focused primarily on forced convection, thermal non-equilibrium, and double-diffusive convection, with applications in porous media and nanofluids. His work has provided important insights into boundary conditions, stability analysis, and viscous dissipation in fluid flow. **Fig. 1** SCOPUS-indexed works per year and the number of citations (to date) of each work published that year Page 5 of 17 **61** The Research and Impact of the Works by Don Nield **Fig. 2** Scopus-indexed works and impact of Don Nield as single author. Impact is presented as the number of times works published that year have been cited to date ### **1.2 Collaborations** While Don was prolific as an independent researcher, he also collaborated frequently with select world-renowned researchers. Because Don was fundamentally a mathematician, it was in his collaborations that he published results from computational heat and mass transfer models. A summary of Don’s Scopus-indexed works with a focus on his notable collaborations is displayed in Table 1. The table first lists Don’s total works and impact, and then those as single author. These are followed by works produced with his 26 collaborators. The table lists the number of works of these collaborations and the total (to date) citation number of those collaborations. His collaborators’ names are easily recognized as renowned researchers in the fields of analytical and applied mathematics, fluid dynamics, heat and mass transfer, and, of course, the fundamentals and modelling of flow in porous media. ### **1.3 Nield and Bejan (1991–2017)** The collaboration between Donald A. Nield and Adrian Bejan on the book, _Convection in Porous Media_ , has resulted a cornerstone in the field of fluid mechanics and heat transfer. Their work has made a lasting impact, providing a comprehensive overview of the current understanding of flows in porous media and descriptions of recent advances in both theory and application. Over the course of five editions, the 1st published in 1992 (Nield and Bejan 1992), the 2nd in 1999 (Nield and Bejan 1999), the 3rd in 2006 (Nield and Bejan 2006), the 4th in 2012 (Nield and Bejan 2013), and the 5th in 2017 (Nield and Bejan 2017), Don and Adrian developed what has become a primary text to introduce many researchers to the fundamentals underlying heat and mass transfer in porous media. The S. Becker et al. **61** Page 6 of 17 **Table 1** SCOPUS-indexed works by Don Nield and his collaborations |Surname|Total works|Total citations| |---|---|---| |Nield, D.A|249|22,480| |Nield, D.A. (As Single
Author)|70|3921| |Kuznetsov, A.V|128|8979| |Bejan, A|4|8056| |Xiong, M|5|537| |Lage, J.L|12|497| |Barletta, A|24|473| |Simmons, C.T|11|326| |Joseph, D.D|4|302| |Papanicolaou, G|2|238| |Celli, M|8|154| |Junqueira, S.L.M|1|134| |Hooman, K|3|133| |Antohe, B.V|2|125| |Haji-Sheikh, A|2|122| |Ming, X|1|85| |Narasimhan, A|3|60| |Porneala, D.C|3|53| |Rees, D.A.S|2|52| |Manole, D.M|1|41| |Avramenko, A.A|2|38| |Ward, J.D|1|38| |Sharp Jr., J.M|1|33| |Love, A.J|1|26| |Vadasz, P|1|4| |Cohen, Y|1|2| |Johnson, C.J|1|1| |Kelly, P.A|1|1| books have had a tremendous impact. To date, the editions have been cited over 10,000 times with the 2012 edition cited over 6,900 times. With each update, they expanded the scope of the book to include topics such as the heat transfer properties of nanofluids and applications involving local thermal non-equilibrium and microfluidic effects. Nield and Bejan’s legacies through their contributions have made a profound impact, not only in academic circles but also in practical engineering applications, where their work is frequently referenced in the design and analysis of systems involving porous media. ### **1.3.1 Nield and Kuznetsov (1999–2017)** The remarkable collaboration between Don Nield and Andrey Kuznetsov lasted more than 20 years. Their collaborative works have greatly advanced the field’s understanding of convection in porous media, with key contributions in nanofluids, double-diffusive convection, and forced convection. The integration of nanofluids into convection analysis extended classical theories by including the effects of Brownian motion and Page 7 of 17 **61** The Research and Impact of the Works by Don Nield thermophoresis. The collaborative team is also credited with the advancement of the concept of double-diffusive convection in porous media, often in applications of natural convection and Brownian motion where both temperature and solute concentration gradients influence fluid movement. Their work on forced convection in porous media, particularly through the application of the Graetz methodology to parallel-plate channels, has improved heat transfer efficiency in industrial heat exchangers and filtration systems. These contributions have had a lasting impact on the field of convection in porous media, with their research continuing to shape both academic studies and practical applications in engineering. The body of work produced by Nield and Kuznetsov is impressive, spanning over two decades and including four book chapters (Nield and Kuznetsov 2005b, e, c, d) and over 120 Scopus-indexed papers (Nield and Kuznetsov 1999, 2000, 2001a, b, 2003a, b, c, d, e, 2004a, b, c, 2005a, c, d, 2006a, b, c, d, 2007a, b, c, d, e, f, g, h, 2008a, b, c, d, 2009a, b, c, d, 2010a, b, c, d, e, f, 2011a, b, c, d, e, 2011f, g, h, i, j, 2012a, b, a, b, c, d, e, f, g, h, i, j, k, 2014a, b, c, d, e, f, 2015a, b, 2016a, b, c, 2019; Kuznetsov and Nield 2001, 2006a, b, 2008a, b, 2009a, b, c, 2010a, b, c, d, e, f, 2006c, 2011a, b, c, d, 2012a, b, 2013a, b, c, 2014a, b, 2015, 2016; Nield et al. 2002, a, b, 2004a, b, c, 2008, 2009, 2010, 2013, 2015, 2016; Kuznetsov et al. 2003, 2010, 2011, 2015; Avramenko et al. 2007; Rees et al. 2008; Simmons et al. 2010; Barletta et al. 2016). A chronological depiction of works and impact is presented in Fig. 3. Here, the number of their works per year is presented along with the total (to date) citations of works published that year. Their earliest work was published in 1999 and their annual productivity steadily rose peaking with 16 publications in 2010 alone (Kuznetsov and Nield 2010a, b, c, d, e, f, 2006c; Kuznetsov et al. 2010; Nield and Kuznetsov 2010a, b, c, d, e, f; Nield et al. 2010; Simmons et al. 2010). With a total of more than 9000 citations, their works are highly influential. They wrote seventeen papers that have each been cited over 100 times. Their 2010 paper “Natural convective boundarylayer flow of a nanofluid past a vertical plate” (Kuznetsv and Nield 2010c) published in the International Journal of Thermal Sciences has been cited 1,387 times to date. **Fig. 3** SCOPUS-indexed works and impact of Don Nield with Andrey Kuznetsov. Impact is presented as the number of times works published that year have been cited to date S. Becker et al. **61** Page 8 of 17 As Andrey’s research student (2002–2007), Sid Becker, recalls an inside glimpse of the operation behind this prolific collaboration. Don worked from Auckland, New Zealand— and Andrey from Raleigh, North Carolina—a time difference between them of more than 12 h. As both were incredibly dedicated researchers working long hours, their collaboration continued without interruption: when Don stopped work, he would send his updates to Andrey, who would be beginning his day. For years, their work literally went on around the clock! ### **1.4 Memorandum** Don Nield’s lifelong dedication to the study of convection and porous media has left an indelible mark on the thermal sciences. His prolific output, deep theoretical insights, and collaborative spirit shaped an entire field and inspired generations of researchers. As this commemoration reflects, his legacy lives on through the enduring relevance of his work and the many scholars who continue to build upon it. Don is deeply missed by the scientific community, his collaborators, and the many students and colleagues who were privileged to work with him. **Author contributions** This work and the contributing authors note no conflicts of interest. There are no associated sources of funding, financial or non-financial interests, study-specific approval by the appropriate ethics committee. Author contributions are as follows. SB contributed to conceptualization, investigation, writing—original draft, and writing—review and editing https:// orcid. org/ 0000- 0002- 7498- 5856. DD contributed to investigation, writing—original draft, and writing—review and editing https:// orcid. org/ 00000003- 2135- 5129. DZ contributed to writing—review and editing https:// orcid. org/ 0000- 0002- 4484- 6505. **Funding** Open Access funding enabled and organized by CAUL and its Member Institutions. The authors have not disclosed any funding. ## **Declarations** **Conflict of interest** The authors have not disclosed any competing interests. **Open Access** This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. 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Sci. **79** , 176–182 (2014) Barletta, A., et al.: Unstable forced convection in a plane porous channel with variable-viscosity dissipation. J. Heat Transfer (2016). https:// doi. org/ 10. 1115/1. 40318 68 - Barletta, A. and D.A. Nield, _Response to comment on "combined forced and free convective flow in a vertical porous channel: The effects of viscous dissipation and pressure work" by A. Barletta and D. A. Nield, transport in porous media,_ https:// doi. org/ 10. 1007/ s11242- 008- 9320-y _, 2009._ Transport in Porous Media, 2009. **80** (2): p. 397–398. Barletta, A. and D.A. Nield. _Linear instability to longitudinal rolls of the darcy-hadley flow in a weakly heterogeneous porous medium_ . In _International Symposium on Advances in Computational Heat Transfer_ . 2012. Begell House Inc. - Bejan, A., Nield, D.A.: Transient forced convection near a suddenly heated plate in a porous medium. Int. Commun. Heat Mass Transfer **18** (1), 83–91 (1991) Cohen, Y., Nield, D.A.: Letters to the editor. AIChE J. **31** (3), 525–526 (1985) - Haji-Sheikh, A., Nield, D.A., Hooman, K.: Heat transfer in the thermal entrance region for flow through rectangular porous passages. Int. J. Heat Mass Transf. **49** (17–18), 3004–3015 (2006) - Hooman, K., Haji-Sheikh, A., Nield, D.A.: Thermally developing Brinkman-Brinkman forced convection in rectangular ducts with isothermal walls. Int. J. Heat Mass Transfer **50** (17–18), 3521–3533 (2007) - Joseph, D.D., Nield, D.A.: Stability of bifurcating time-periodic and steady solutions of arbitrary amplitude. Arch. Ration. Mech. Anal. **58** (4), 369–380 (1975) Joseph, D.D., Nield, D.A., Papanicolaou, G.: Nonlinear equation governing flow in a saturated porous medium. Water Resour. Res. **18** (4), 1049–1052 (1982) - Joseph, D.D., Nield, D.A., Papanicolaou, G.: Correction to ‘Nonlinear equation governing flow in a saturated porous medium.’ Water Resour. Res. **19** (2), 591–591 (1983) - Kelly, P.A., C.J. Johnson, and D.A. Nield. _Simulation of resin infusion processes_ . In _ICCM International Conferences on Composite Materials_ . 2007. International Committee on Composite Materials. - Kuznetsov, A.V., Nield, D.A.: Effects of heterogeneity in forced convection in a porous medium: triple layer or conjugate problem. Numer Heat Trans. Part A Appl. **40** (4), 363–385 (2001) - Kuznetsov, A.V., Nield, D.A.: Forced convection with laminar pulsating flow in a saturated porous channel or tube. Transp. Porous Media **65** (3), 505–523 (2006a) - Kuznetsov, A.V., Nield, D.A.: Boundary layer treatment of forced convection over a wedge with an attached porous substrate. J. Porous Media **9** (7), 683–694 (2006b) - Kuznetsov, A.V., Nield, D.A.: The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: double diffusive case. Transp. Porous Media **72** (2), 157–170 (2008a) - Kuznetsov, A.V., Nield, D.A.: The effect of a transition layer between a fluid and a porous medium: forced convection a channel. J. Heat Transfer (2008). https:// doi. org/ 10. 1115/1. 29459 05 - Kuznetsov, A.V., Nield, D.A.: Forced convection with counterflow in a circular tube occupied by a porous medium. J. Porous Media **12** (7), 657–666 (2009a) - Kuznetsov, A.V., Nield, D.A.: Forced convection with laminar pulsating counterflow in a saturated porous circular tube. Transp. Porous Media **77** (3), 447–462 (2009b) S. Becker et al. Page 10 of 17 **61** Kuznetsov, A.V., Nield, D.A.: Thermally developing forced convection in a porous medium occupied by a rarefied gas: parallel plate channel or circular tube with walls at constant heat flux. Transp. Porous Media **76** (3), 345–362 (2009c) Kuznetsov, A.V., Nield, D.A.: Forced convection in a channel partly occupied by a bidisperse porous medium: asymmetric case. Int. J. Heat Mass Transfer **53** (23–24), 5167–5175 (2010a) Kuznetsov, A.V., Nield, D.A.: The onset of double-diffusive nanofluid convection in a layer of a saturated porous medium. Transp. Porous Media **85** (3), 941–951 (2010b) Kuznetsov, A.V., Nield, D.A.: Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int. J. Therm. Sci. **49** (2), 243–247 (2010c) Kuznetsov, A.V., Nield, D.A.: Effect of local thermal non-equilibrium on the onset of convection in a porous medium layer saturated by a nanofluid. Transp. Porous Media **83** (2), 425–436 (2010d) Kuznetsov, A.V., Nield, D.A.: The Cheng-Minkowycz problem for cellular porous materials: effect of temperature-dependent conductivity arising from radiative transfer. Int. J. Heat Mass Transf. **53** (13–14), 2676–2679 (2010e) Kuznetsov, A.V., Nield, D.A.: Thermal instability in a porous medium layer saturated by a nanofluid: brink- man model. Transp. Porous Media **81** (3), 409–422 (2010f) Kuznetsov, A.V., Nield, D.A.: The effect of local thermalnonequilibrium on the onset of convection in a porous medium layer saturated by a nanofluid: Brinkman model. J. Porous Media **14** (4), 285–293 (2011a) Kuznetsov, A.V., Nield, D.A.: The onset of convection in a tridisperse porous medium. Int. J. Heat Mass Transfer **54** (15–16), 3120–3127 (2011b) Kuznetsov, A.V., Nield, D.A.: Double-diffusive natural convective boundary-layer flow of a nanofluid past a vertical plate. Int. J. Therm. Sci. **50** (5), 712–717 (2011c) Kuznetsov, A.V., Nield, D.A.: The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium with vertical throughflow. Transp. Porous Media **90** (2), 465–478 (2011d) Kuznetsov, A.V., Nield, D.A.: The onset of double-diffusive convection in a vertical cylinder occupied by a heterogeneous porous medium with vertical throughflow. Transp. Porous Media **95** (2), 327–336 (2012a) Kuznetsov, A.V., Nield, D.A.: The effect of strong heterogeneity and strong throughflow on the onset of convection in a porous medium: periodic and localized variation. Transp. Porous Media **92** (2), 289–298 (2012b) Kuznetsov, A.V., Nield, D.A.: The effect of vertical throughflow on the onset of convection induced by internal heating in a layered porous medium. Transp. Porous Media **100** (1), 101–114 (2013a) Kuznetsov, A.V., Nield, D.A.: The effect of strong heterogeneity on the onset of convection induced by internal heating in a porous medium: a layered model. Transp. Porous Media **99** (1), 85–100 (2013b) - Kuznetsov, A.V., Nield, D.A.: The Cheng-Minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid: a revised model. Int. J. Heat Mass Transf. **65** , 682–685 (2013c) - Kuznetsov, A.V., Nield, D.A.: Natural convective boundary-layer flow of a nanofluid past a vertical plate: a revised model. Int. J. Therm. Sci. **77** , 126–129 (2014a) - Kuznetsov, A.V., Nield, D.A.: Local thermal non-equilibrium and heterogeneity effects on the onset of convection in an internally heated porous medium. Transp. Porous Media **102** (1), 15–30 (2014b) - Kuznetsov, A.V., Nield, D.A.: Local thermal non-equilibrium effects on the onset of convection in an internally heated layered porous medium with vertical throughflow. Int. J. Therm. Sci. **92** , 97–105 (2015) - Kuznetsov, A.V., Nield, D.A.: The effect of spatially nonuniform internal heating on the onset of convection in a horizontal fluid layer. J. Heat Transfer (2016). https:// doi. org/ 10. 1115/1. 40328 37 - Kuznetsov, A.V., Ming, X., Nield, D.A.: Thermally developing forced convection in a porous medium: Cir- cular duct with walls at constant temperature, with longitudinal conduction and viscous dissipation effects. Transp. Porous Media **53** (3), 331–345 (2003) Kuznetsov, A.V., Nield, D.A., Simmons, C.T.: The effect of strong heterogeneity on the onset of convection in a porous medium: periodic and localized variation. Transp. Porous Media **81** (1), 123–139 (2010) Kuznetsov, A.V., Nield, D.A., Simmons, C.T.: The onset of convection in a strongly heterogeneous porous medium with transient temperature profile. Transp. Porous Media **86** (3), 851–865 (2011) - Kuznetsov, A.V., et al.: Local thermal non-equilibrium and heterogeneity effects on the onset of double-diffusive convection in an internally heated and soluted porous medium. Transp. Porous Media **109** (2), 393–409 (2015) - Kuznetsov, A.V. and D.A. Nield, Corrigendum to ’forced convection with slip-flow in a channel occupied by a hyperporous medium saturated by a rarefied gas’, transport in porous media, 64, 161–170, 2006, and ’thermally developing forced convection in a porous medium occupied by a rarefied gas: parallel plate Page 11 of 17 **61** The Research and Impact of the Works by Don Nield channel or circular tube with walls at constant heat flux’, transport in porous media, 76, 345–362, 2009. Transport in Porous Media, 2010. **85** (2): p. 657–658. Lage, J.L., Nield, D.A.: Convection induced by inclined gradients in a shallow porous medium layer. J. Porous Media **1** (1), 57–69 (1998) Lage, J.L., Antohe, B.V., Nield, D.A.: Two types of nonlinear pressure-drop versus flow-rate relation observed for saturated porous media. J. Fluids Eng. **119** (3), 700–706 (1997a) Lage, J.L., D.A. Nield, and B.V. Antohe. _Dual characteristic of transition to turbulent flow through a porous medium_ . In _American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED_ . 1997. ASME. Love, A.J., Simmons, C.T., Nield, D.A.: Double-diffusive convection in groundwater wells. Water Resour. Res. (2007). https:// doi. org/ 10. 1029/ 2007W R0060 01 - Manole, D.M., Lage, J.L., Nield, D.A.: Convection induced by inclined thermal and solutal gradients, with horizontal mass flow, in a shallow horizontal layer of a porous medium. Int. J. Heat Mass Transf. **37** (14), 2047–2057 (1994) - Narasimhan, A., Lage, J.L., Nield, D.A.: New theory for forced convection through porous media by fluids with temperature-dependent viscosity. J. Heat Transfer **123** (6), 1045–1051 (2001a) - Narasimhan, A., et al.: Experimental verification of two new theories predicting temperature-dependent viscosity effects on the forced convection in a porous channel. J. Fluids Eng. Trans. ASME **123** (4), 948–958 (2001b) - Nield, D.A.: Surface tension and buoyancy effects in cellular convection. J. Fluid Mech. **19** (3), 341–352 (1964) - Nield, D.A.: Streamlines in Bénard convection cells induced by surface tension and buoyancy. Z. Angew. Math. Phys. ZAMP **17** (2), 226–232 (1966a) - Nield, D.A.: Effects of a magnetic field on streamlines in Bénard convection cells induced by surface tension and buoyancy. Z. Angew. Math. Phys. ZAMP **17** (2), 340–342 (1966b) - Nield, D.A.: Surface tension and buoyancy effects in the cellular convection of an electrically conducting liquid in a magnetic field. Z. Angew. Math. Phys. ZAMP **17** (1), 131–139 (1966c) - Nield, D.A.: The thermohaline Rayleigh-Jeffreys problem. J. Fluid Mech. **29** (3), 545–558 (1967) Nield, D.A.: The rayleigh-jeffreys problem with boundary slab of finite conductivity. J. Fluid Mech. **32** (2), 393–398 (1968a) - Nield, D.A.: Onset of thermohaline convection in a porous medium. Water Resour. Res. **4** (3), 553–560 (1968b) - Nield, D.A.: A note on the stability of laminar flow of a liquid mixture with temperature gradient. Physica **74** (3), 607–610 (1974a) - Nield, D.A.: Comments on ‘Effect of solute dispersion on thermal convection in a porous medium layer’ by Hillel Rubin. Water Resour. Res. **10** (4), 889–889 (1974b) - Nield, D.A.: The onset of transient convective instability. J. Fluid Mech. **71** (3), 441–454 (1975) Nield, D.A.: Onset of convection in a fluid layer overlying a layer of a porous medium. J. Fluid Mech. **81** (3), 513–522 (1977) - Nield, D.A.: Comment on ‘extensions of dual-plate holography interferometry.’ AIAA J. **16** (3), 287 (1978) - Nield, D.A.: Onset of convection in a porous layer saturated by an ideal gas. Int. J. Heat Mass Transfer **25** (10), 1605–1606 (1982) - Nield, D.A.: Alternative model for wall effect in laminar flow of a fluid through a packed column. AIChE J. **29** (4), 688–689 (1983a) - Nield, D.A.: The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation. J. Fluid Mech. **128** , 37–46 (1983b) - Nield, D.A.: Throughflow effects in the Rayleigh-Benard convective instability problem. J. Fluid Mech. **185** , 353–360 (1987a) - Nield, D.A.: Convective heat transfer in porous media with columnar structure. Transp. Porous Media **2** (2), 177–185 (1987b) - Nield, D.A.: Convective instability in porous media with throughflow. AIChE J. **33** (7), 1222–1224 (1987c) - Nield, D.A.: Spin-up in a saturated porous medium. Transp. Porous Media **4** (5), 495–497 (1989) - Nield, D.A.: Convection in a porous medium with inclined temperature gradient. Int. J. Heat Mass Transfer **34** (1), 87–92 (1991a) - Nield, D.A.: Estimation of the stagnant thermal conductivity of saturated porous media. Int. J. Heat Mass Transf. **34** (6), 1575–1576 (1991b) - Nield, D.A.: The limitations of the Brinkman-Forchheimer equation in modeling flow in a saturated porous medium and at an interface. Int. J. Heat Fluid Flow **12** (3), 269–272 (1991c) - Nield, D.A.: Correlation formulas for mixed convection heat transfer in saturated porous media. Int. J. Heat Fluid Flow **14** (2), 206 (1993) S. Becker et al. Page 12 of 17 **61** Nield, D.A.: Estimation of an effective Rayleigh number for convection in a vertically inhomogeneous porous medium or clear fluid. Int. J. Heat Fluid Flow **15** (4), 337–340 (1994) - Nield, D.A.: Odd-even factorization results for eigenvalue problems. SIAM Rev. **36** (4), 649–651 (1994b) - Nield, D.A.: Convection induced by an inclined temperature gradient in a shallow horizontal layer. Int. J. Heat Fluid Flow **15** (2), 157–162 (1994c) - Nield, D.A.: Convection in a porous medium with inclined temperature gradient: additional results. Int. J. Heat Mass Transf. **37** (18), 3021–3025 (1994d) - Nield, D.A.: Modelling high speed flow of a compressible fluid in a saturated porous medium. Transp. Porous Media **14** (1), 85–88 (1994e) - Nield, D.A.: The effect of channeling on heat transfer across a horizontal layer of a porous medium. Int. J. Heat Fluid Flow **15** (3), 247–248 (1994f) - Nield, D.A.: Analysis of heat transfer regulation and modification employing intermittently emplaced porous cavities: analysis of flow and heat transfer over an external boundary covered with a porous substrate. J. Heat Transfer **117** (2), 554 (1995a) - Nield, D.A.: Onset of convection in a porous medium with nonuniform time-dependent volumetric heating. Int. J. Heat Fluid Flow **16** (3), 217–222 (1995b) - Nield, D.A.: Comments on “a numerical study of the stability of thermohaline convection in a rectangular box containing a porous medium” by VD Murty, CL Clay, MP Camden and ER Anselmo, ICHMT, 21 (1994). Int. Commun. Heat Mass Transfer **22** (2), 317–318 (1995) - Nield, D.A.: The effect of temperature-dependent viscosity on the onset of convection in a saturated porous medium. J. Heat Transfer **118** (3), 803–805 (1996) - Nield, D.A.: Notes on convection in a porous medium: (i) an effective Rayleigh number for an anisotropic layer, (ii) the Malkus hypothesis and wavenumber selection. Transp. Porous Media **27** (2), 135–142 (1997) - Nield, D.A.: Discussion of a discussion. J. Heat Transfer **119** (1), 193–194 (1997) - Nield, D.A.: Modelling the effect of surface tension on immiscible displacement in a saturated porous medium. Transp. Porous Media **32** (2), 233–236 (1998a) - Nield, D.A.: Convection in a porous medium with inclined temperature gradient and vertical throughflow. Int. J. Heat Mass Transfer **41** (1), 241–243 (1998b) - Nield, D.A.: Modelling the effect of surface tension on the onset of natural convection in a saturated porous medium. Transp. Porous Media **31** (1–3), 365–368 (1998c) - Nield, D.A.: Effects of local thermal nonequilibrium in steady convective processes in a saturated porous medium: forced convection in a channel. J. Porous Media **1** (2), 181–186 (1998d) - Nield, D.A.: Modeling the effects of a magnetic field or rotation on flow in a porous medium: momentum equation and anisotropic permeability analogy. Int. J. Heat Mass Transfer **42** (19), 3715–3718 (1999) - Nield, D.A.: Resolution of a paradox involving viscous dissipation and nonlinear drag in a porous medium. Transp. Porous Media **41** (3), 349–357 (2000a) - Nield, D.A.: Comments on “finite element analysis of convection flow through a porous medium in a horizontal channel.” Transp. Porous Media **38** (3), 353–354 (2000) - Nield, D.A.: Modelling fluid flow and heat transfer in a saturated porous medium. J. Appl. Math. Decis. Sci. **4** (2), 165–173 (2001a) - Nield, D.A.: Closure to "discussion of “alternative models of turbulence in a porous medium, and related matters” " journal of fluids engineering. Trans. ASME **123** (4), 934 (2001) - Nield, D.A.: Alternative models of turbulence in a porous medium, and related matters. J. Fluids Eng. Trans. ASME **123** (4), 928–934 (2001c) - Nield, D.A.: Some pitfalls in the modelling of convective flows in porous media. Transp. Porous Media **43** (3), 597–601 (2001d) - Nield, D.A.: A note on the modeling of local thermal non-equilibrium in a structured porous medium. Int. J. Heat Mass Transfer **45** (21), 4367–4368 (2002) - Nield, D.A.: The stability of flow in a channel or duct occupied by a porous medium. Int. J. Heat Mass Transf. **46** (22), 4351–4354 (2003) - Nield, D.A.: Forced convection in a parallel plate channel with asymmetric heating. Int. J. Heat Mass Transfer **47** (25), 5609–5612 (2004a) - Nield, D.A.: Forced convection in a parallel plates channel with asymmetric heating. Int. J. Heat Mass Transfer **47** (7–8), 5609–5612 (2004b). https:// doi. org/ 10. 1016/j. ijhea tmass trans fer. 2004. 07. 006 - Nield, D.A.: Comments on “bulk mean temperature in porous medium analysis.” Int. J. Heat Mass Transf. **49** (1–2), 439 (2006a) - Nield, D.A.: A note on a Brinkman-Brinkman forced convection problem. Transp. Porous Media **64** (2), 185–188 (2006b) Page 13 of 17 **61** The Research and Impact of the Works by Don Nield - Nield, D.A.: Comment on the effect of anisotropy on the onset of convection in a porous medium. Adv. Water Resour. **30** (3), 696–697 (2007a) - Nield, D.A.: The modeling of viscous dissipation in a saturated porous medium. J. Heat Transfer **129** (10), 1459–1463 (2007b) - Nield, D.A.: Connectivity and effective hydraulic conductivity. Transp. Porous Media **74** (2), 129–132 (2008a) - Nield, D.A.: Impracticality of MHD convection in a porous medium. Transp. Porous Media **73** (3), 379– 380 (2008b) - Nield, D.A.: Comments on reply to comments on “Non-darcian forced convection flow of viscous dissipating fluid over a flat plate embedded in a porous medium.” Transp. Porous Media **75** (2), 269– 270 (2008c) - Nield, D.A.: The modeling of form drag in a porous medium saturated by a power-law fluid. J. Heat Transfer **131** (10), 1–2 (2009a) - Nield, D.A.: Advances in convection in porous media: the R. A. Wooding legacy. Transp. Porous Media **77** (2), 131 (2009c) - Nield, D.A.: The beavers–Joseph boundary condition and related matters: a historical and critical note. Transp. Porous Media **78** (3 SPEC. ISS.), 537–540 (2009d) - Nield, D.A.: A note on the onset of convection in a layer of a porous medium saturated by a non-Newtonian nanofluid of power-law type. Transp. Porous Media **87** (1), 121–123 (2011a) - Nield, D.A.: A note on convection patterns in an inclined porous layer. Transp. Porous Media **86** (1), 23–25 (2011b) - Nield, D.A.: A comment on “on magneto convection in a mushy layer” by D. N. Riahi. Transp. Porous Media **89** (2), 287–288 (2011c) - Nield, D.A.: A further note on the onset of convection in a layer of a porous medium saturated by a nonNewtonian fluid of power-law type. Transp. Porous Media **88** (2), 187–191 (2011d) - Nield, D.A.: A note on local thermal non-equilibrium in porous media near boundaries and interfaces. Transp. Porous Media **95** (3), 581–584 (2012) - Nield, D.A.: A note on convection in fracture loops. Transp. Porous Media **109** (1), 195–199 (2015) Nield, D.A.: A note on the modelling of bidisperse porous media. Transp. Porous Media **111** (2), 517–520 (2016) - Nield, D.A., Barletta, A.: The horton-rogers-lapwood problem revisited: the effect of pressure work. Transp. Porous Media **77** (2), 143–158 (2009) - Nield, D.A., Barletta, A.: Extended Oberbeck-Boussinesq approximation study of convective instabilities in a porous layer with horizontal flow and bottom heating. Int. J. Heat Mass Transfer **53** (4), 577–585 (2010a) - Nield, D.A., Barletta, A.: Comment on the comment by V. A. F. Costa, IJTS 49 (9) (2010) 1874–1875, on the paper by I. A. Badruddin, Z. A. Zainal, Z. A. Khan, Z. Mallick, “effect of viscous dissipation and radiation on natural convection in a porous medium embedded within vertical annulus”, IJTS 46 (3) (2007) 221–227. Int. J. Therm. Sci. **49** (12), 2491–2492 (2010b) - Nield, D.A., Barletta, A.: Thermal instability in a plane channel with internal heating and horizontal Poiseuille throughflow. Int. J. Heat Mass Transf. **55** (4), 1095–1102 (2012) - Nield, D.A., Hooman, K.: Comments on “Effects of viscous dissipation on the heat transfer in forced pipe flow. Part 1: Both hydrodynamically and thermally fully developed flow [Energy Conv. Manage. 2005; 46: 757–769] and Part 2: Thermally developing flow [Energy Conv. Manage. 2005; 46: 3091– 3202]” by O. Aydin. Energy Convers. Manage. **47** (18–19), 3501–3503 (2006) - Nield, D.A., Joseph, D.D.: Effects of quadratic drag on convection in a saturated porous medium. Phys. Fluids **28** (3), 995–997 (1985) - Nield, D.A., Kuznetsov, A.V.: Local thermal nonequilibrium effects in forced convection in a porous medium channel: a conjugate problem. Int. J. Heat Mass Transfer **42** (17), 3245–3252 (1999) - Nield, D.A., Kuznetsov, A.V.: Effects of heterogeneity in forced convection in a porous medium: parallel plate channel or circular duct. Int. J. Heat Mass Transfer **43** (22), 4119–4134 (2000) - Nield, D.A., Kuznetsov, A.V.: The interaction of thermal nonequilibrium and heterogeneous conductivity effects in forced convection in layered porous channels. Int. J. Heat Mass Transfer **44** (22), 4369–4373 (2001a) - Nield, D.A., Kuznetsov, A.V.: Effects of heterogeneity in forced convection in a porous medium: ParallelPlate channel, asymmetric property variation, and asymmetric heating. J. Porous Media **4** (2), 137– 148 (2001b) - Nield, D.A., Kuznetsov, A.V.: Effects of heterogeneity in forced convection in a porous medium: parallelplate channel, Brinkman model. J. Porous Media **6** (4), 257–266 (2003a) S. Becker et al. Page 14 of 17 **61** - Nield, D.A., Kuznetsov, A.V.: Effects of temperature-dependent viscosity in forced convection in a porous medium: layered-medium analysis. J. Porous Media **6** (3), 213–222 (2003b) - Nield, D.A., Kuznetsov, A.V.: Boundary-layer analysis of forced convection with a plate and porous substrate. Acta Mech. **166** (1–4), 141–148 (2003c) - Nield, D.A., Kuznetsov, A.V.: Effects of gross heterogeneity and anisotropy in forced convection in a porous medium: layered medium analysis. J. Porous Media **6** (1), 51–57 (2003d) - Nield, D.A., Kuznetsov, A.V.: Investigation of forsed convection in an almost circular microtube with rough walls. Int. J. Fluid Mech. Res. **30** (1), 1–10 (2003e) - Nield, D.A., Kuznetsov, A.V.: Forced convection in a helical pipe filled with a saturated porous medium. Int. J. Heat Mass Transfer **47** (24), 5175–5180 (2004a) - Nield, D.A., Kuznetsov, A.V.: Forced convection in a bi-disperse porous medium channel: a conjugate problem. Int. J. Heat Mass Transfer **47** (24), 5375–5380 (2004b) - Nield, D.A., Kuznetsov, A.V.: Interaction of transverse heterogeneity and thermal development of forced convection in a porous medium. Transp. Porous Media **57** (1), 103–111 (2004c) - Nield, D.A., Kuznetsov, A.V.: Thermal development of forced convection in a channel or duct partly occupied by a porous medium. J. Porous Media **8** (6), 627–638 (2005a) - Nield, D.A., Kuznetsov, A.V.: A two-velocity two-temperature model for a bi-dispersed porous medium: forced convection in a channel. Transp. Porous Media **59** (3), 325–339 (2005c) - Nield, D.A., Kuznetsov, A.V.: Thermally developing forced convection in a channel occupied by a porous medium saturated by a non-Newtonian fluid. Int. J. Heat Mass Transfer **48** (6), 1214–1218 (2005d) - Nield, D.A., Kuznetsov, A.V.: Forced convection in porous media: transverse heterogeneity effects and thermal development. In: Handbook of Porous Media, 2nd edn., pp. 143–193. CRC Press (2005e) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a bidisperse porous medium. Int. J. Heat Mass Transf. **49** (17–18), 3068–3074 (2006a) - Nield, D.A., Kuznetsov, A.V.: Thermally developing forced convection in a bidisperse porous medium. J. Porous Media **9** (5), 393–402 (2006b) - Nield, D.A., Kuznetsov, A.V.: The onset of bio-thermal convection in a suspension of gyrotactic microorganisms in a fluid layer: oscillatory convection. Int. J. Therm. Sci. **45** (10), 990–997 (2006c) - Nield, D.A., Kuznetsov, A.V.: Forced convection with slip-flow in a channel or duct occupied by a hyperporous medium saturated by a rarefied gas. Transp. Porous Media **64** (2), 161–170 (2006d) - Nield, D.A., Kuznetsov, A.V.: Forced convection with laminar pulsating flow in a channel or tube. Int. J. Therm. Sci. **46** (6), 551–560 (2007a) - Nield, D.A., Kuznetsov, A.V.: The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium. Int. J. Heat Mass Transfer **50** (9–10), 1909–1915 (2007b) - Nield, D.A., Kuznetsov, A.V.: The effects of combined horizontal and vertical heterogeneity and anisotropy on the onset of convection in a porous medium. Int. J. Therm. Sci. **46** (12), 1211–1218 (2007c) - Nield, D.A., Kuznetsov, A.V.: Erratum to “The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium.” Int. J. Heat Mass Transfer **50** (21–22), 4512 (2007) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a shallow box occupied by a heterogeneous porous medium with constant flux boundaries. Transp. Porous Media **67** (3), 441–451 (2007e) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a porous medium occupying an enclosure of variable width or height. J. Heat Transfer **129** (12), 1714–1718 (2007f) - Nield, D.A., Kuznetsov, A.V.: Reply to comments on “Forced convection with slip-flow in a channel or duct occupied by a hyper-porous medium saturated by a rarefied gas” [2]. Transp. Porous Media **67** (1), 169–170 (2007g) - Nield, D.A., Kuznetsov, A.V.: The effect of combined vertical and horizontal heterogeneity on the onset of convection in a bidisperse porous medium. Int. J. Heat Mass Transf. **50** (17–18), 3329–3339 (2007h) - Nield, D.A., Kuznetsov, A.V.: Natural convection about a vertical plate embedded in a bidisperse porous medium. Int. J. Heat Mass Transfer **51** (7–8), 1658–1664 (2008a) - Nield, D.A., Kuznetsov, A.V.: A bioheat transfer model: forced convection in a channel occupied by a porous medium with counterflow. Int. J. Heat Mass Transfer **51** (23–24), 5534–5541 (2008b) - Nield, D.A., Kuznetsov, A.V.: The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: moderate heterogeneity. Int. J. Heat Mass Transfer **51** (9–10), 2361– 2367 (2008c) - Nield, D.A., Kuznetsov, A.V.: Effects of combined horizontal and vertical heterogeneity on the onset of transient convection in a porous medium. J. Porous Media **11** (4), 377–387 (2008d) - Nield, D.A., Kuznetsov, A.V.: Thermal instability in a porous medium layer saturated by a nanofluid. Int. J. Heat Mass Transfer **52** (25–26), 5796–5801 (2009a) - Nield, D.A., Kuznetsov, A.V.: The cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int. J. Heat Mass Transfer **52** (25–26), 5792–5795 (2009b) Page 15 of 17 **61** The Research and Impact of the Works by Don Nield Nield, D.A., Kuznetsov, A.V.: Forced convection with laminar pulsating counterflow in a saturated porous channel. J. Heat Transfer **131** (10), 1–8 (2009c) - Nield, D.A., Kuznetsov, A.V.: The effect of a transition layer between a fluid and a porous medium: shear flow in a channel. Transp. Porous Media **78** (3 SPEC. ISS.), 477–487 (2009d) Nield, D.A., Kuznetsov, A.V.: The effect of local thermal nonequilibrium on the onset of convection in a nanofluid. J. Heat Transfer **132** (5), 1–7 (2010a) Nield, D.A., Kuznetsov, A.V.: The onset of convection in a layer of cellular porous material: Effect of temperature-dependent conductivity arising from radiative transfer. J. Heat Transfer **132** (7), 1–4 (2010b) Nield, D.A., Kuznetsov, A.V.: The onset of convection in a horizontal nanofluid layer of finite depth. Eur. J. Mech. **29** (3), 217–223 (2010c) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a heterogeneous porous medium with transient temperature profile. Transp. Porous Media **85** (3), 691–702 (2010d) Nield, D.A., Kuznetsov, A.V.: Forced convection in cellular porous materials: effect of temperaturedependent conductivity arising from radiative transfer. Int. J. Heat Mass Transfer **53** (13–14), 2680–2684 (2010e) Nield, D.A., Kuznetsov, A.V.: Forced convection with phase-lagged oscillatory counterflow in a saturated porous channel. J. Porous Media **13** (7), 601–611 (2010f) Nield, D.A., Kuznetsov, A.V.: The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium with horizontal throughflow. Int. J. Heat Mass Transfer **54** (25– 26), 5595–5601 (2011a) - Nield, D.A., Kuznetsov, A.V.: The cheng-Minkowycz problem for natural convection about a vertical plate embedded in a tridisperse porous medium. Int. J. Heat Mass Transfer **54** (15–16), 3485–3493 (2011b) - Nield, D.A., Kuznetsov, A.V.: The effect of vertical throughflow on thermal instability in a porous medium layer saturated by a nanofluid. Transp. Porous Media **87** (3), 765–775 (2011c) - Nield, D.A., Kuznetsov, A.V.: A three-velocity three-temperature model for a tridisperse porous medium: forced convection in a channel. Int. J. Heat Mass Transfer **54** (11–12), 2490–2498 (2011d) - Nield, D.A., Kuznetsov, A.V.: The onset of double-diffusive convection in a nanofluid layer. Int. J. Heat Fluid Flow **32** (4), 771–776 (2011e) - Nield, D.A., Kuznetsov, A.V.: The effect of vertical throughflow on the onset of convection in a porous medium in a rectangular box. Transp. Porous Media **90** (3), 993–1000 (2011f) - Nield, D.A., Kuznetsov, A.V.: Onset of convection in a porous medium with strong vertical throughflow. Transp. Porous Media **90** (3), 883–888 (2011g) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a heterogeneous porous medium with vertical throughflow. Transp. Porous Media **88** (2), 347–355 (2011h) - Nield, D.A., Kuznetsov, A.V.: The Cheng-Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid. Int. J. Heat Mass Transf. **54** (1–3), 374–378 (2011i) - Nield, D.A., Kuznetsov, A.V.: Forced convection in a channel partly occupied by a bidisperse porous medium: symmetric case. J. Heat Transfer (2011j). https:// doi. org/ 10. 1115/1. 40036 67 - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a layer of a porous medium saturated by a nanofluid: effects of conductivity and viscosity variation and cross-diffusion. Transp. Porous Media **92** (3), 837–846 (2012a) - Nield, D.A., Kuznetsov, A.V.: The effect of strong heterogeneity and strong throughflow on the onset of convection in a porous medium: non-periodic global variation. Transp. Porous Media **91** (3), 927–938 (2012b) - Nield, D.A., Kuznetsov, A.V.: A note on the variation of nanofluid viscosity with temperature. Int. Commun. Heat Mass Transf. **41** , 17–18 (2013a) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a layered porous medium with vertical throughflow. Transp. Porous Media **98** (2), 363–376 (2013b) - Nield, D.A., Kuznetsov, A.V.: The onset of double-diffusive convection in a vertical cylinder with vertical throughflow. J. Heat Transfer (2013c). https:// doi. org/ 10. 1115/1. 40078 59 - Nield, D.A., Kuznetsov, A.V.: A note on modeling high speed flow in a bidisperse porous medium. Transp. Porous Media **96** (3), 495–499 (2013d) - Nield, D.A., Kuznetsov, A.V.: Onset of convection with internal heating in a weakly heterogeneous porous medium. Transp. Porous Media **98** (3), 543–552 (2013e) - Nield, D.A., Kuznetsov, A.V.: The effect of pulsating deformation on the onset of convection in a porous medium. Transp. Porous Media **98** (3), 713–724 (2013f) - Nield, D.A., Kuznetsov, A.V.: Onset of convection with internal heating in a porous medium saturated by a nanofluid. Transp. Porous Media **99** (1), 73–83 (2013g) S. Becker et al. Page 16 of 17 **61** - Nield, D.A., Kuznetsov, A.V.: Optimization of forced convection heat transfer in a composite porous medium channel. Transp. Porous Media **99** (2), 349–357 (2013h) - Nield, D.A., Kuznetsov, A.V.: The effect of heterogeneity on the onset of double-diffusive convection induced by internal heating in a porous medium: a layered model. Transp. Porous Media **100** (1), 83–99 (2013i) - Nield, D.A., Kuznetsov, A.V.: Forced convection past a rotating sphere: modeling oxygen transport to a pond snail embryo. J. Heat Transfer (2013j). https:// doi. org/ 10. 1115/1. 40248 71 - Nield, D.A., Kuznetsov, A.V.: An historical and topical note on convection in porous media. J. Heat Transfer (2013k). https:// doi. org/ 10. 1115/1. 40235 67 - Nield, D.A., Kuznetsov, A.V.: Erratum: Forced convection in a parallel-plate channel occupied by a nanofluid or a porous medium saturated by a nanofluid (International Journal of Heat and Mass Transfer (2014) 70 (430–433)). Int. J. Heat Mass Transf. **76** , 534 (2014a) - Nield, D.A., Kuznetsov, A.V.: Thermal instability in a porous medium layer saturated by a nanofluid: a revised model. Int. J. Heat Mass Transfer **68** , 211–214 (2014b) - Nield, D.A., Kuznetsov, A.V.: Forced convection in a parallel-plate channel occupied by a nanofluid or a porous medium saturated by a nanofluid. Int. J. Heat Mass Transfer **70** , 430–433 (2014c) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a horizontal nanofluid layer of finite depth: a revised model. Int. J. Heat Mass Transfer **77** , 915–918 (2014d) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in an internally heated nanofluid layer. J. Heat Transfer (2014e). https:// doi. org/ 10. 1115/1. 40250 48 - Nield, D.A., Kuznetsov, A.V.: Local thermal non-equilibrium and heterogeneity effects on the onset of convection in a layered porous medium. Transp. Porous Media **102** (1), 1–13 (2014f) - Nield, D.A., Kuznetsov, A.V.: Local thermal non-equilibrium and heterogeneity effects on the onset of convection in a layered porous medium with vertical throughflow. J. Porous Media **18** (2), 125–136 (2015a) - Nield, D.A., Kuznetsov, A.V.: The effect of vertical throughflow on thermal instability in a porous medium layer saturated by a nanofluid: a revised model. J. Heat Transfer (2015b). https:// doi. org/ 10. 1115/1. 40297 73 - Nield, D.A., Kuznetsov, A.V.: Modeling convection in nanofluids: from clear fluids to porous media. In: Heat Transfer enhancement with nanofluids, pp. 325–340. CRC Press (2015c) - Nield, N.D.A., Kuznetsov, K.A.V.: Effects of nanofluids on convection in porous media. In: Handbook of Porous Media, 3rd edn., pp. 493–512. CRC Press (2015d) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in a horizontal porous layer with spatially non-uniform internal heating. Transp. Porous Media **111** (2), 541–553 (2016a) - Nield, D.A., Kuznetsov, A.V.: Do isoflux boundary conditions inhibit oscillatory double-diffusive convection? Transp. Porous Media **112** (3), 609–618 (2016b) - Nield, D.A., Kuznetsov, A.V.: The effect of pulsating throughflow on the onset of convection in a horizontal porous layer. Transp. Porous Media **111** (3), 731–740 (2016c) - Nield, D.A., Kuznetsov, A.V.: The onset of convection in an anisotropic heterogeneous porous medium: a new hydrodynamic boundary condition. Transp. Porous Media **127** (3), 549–558 (2019) - Nield, D.A., Lage, J.L.: Convection induced by inclined thermal and solutal gradients in a shallow horizontal layer of a porous medium. J. Fluid Mech. **257** , 559–574 (1993) - Nield, D.A., Lage, J.L.: Discussion of a discussion. J. Heat Transfer **119** (1), 195–196 (1997) - Nield, D.A., Lage, J.L.: The role of longitudinal diffusion in fully developed forced convective slug flow in a channel. Int. J. Heat Mass Transfer **41** (24), 4375–4377 (1998) - Nield, D.A., Simmons, C.T.: A discussion on the effect of heterogeneity on the onset of convection in a porous medium. Transp. Porous Media **68** (3), 413–421 (2007) - Nield, D.A., Simmons, C.T.: A brief introduction to convection in porous media. Transp. Porous Media **130** (1), 237–250 (2019) - Nield, D.A., Junqueira, S.L.M., Lage, J.L.: Forced convection in a fluid-saturated porous-medium channel with isothermal or isoflux boundaries. J. Fluid Mech. **322** , 201–214 (1996) - Nield, D.A., Porneala, D.C., Lage, J.L.: A theoretical study, with experimental verification, of the temperature-dependent viscosity effect on the forced convection through a porous medium channel. J. Heat Transfer **121** (2), 500–503 (1999) - Nield, D.A., Kuznetsov, A.V., Xiong, M.: Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium. Int. J. Heat Mass Transfer **45** (25), 4949–4955 (2002) - Nield, D.A., Kuznetsov, A.V., Xiong, M.: Thermally developing forced convection in a porous medium: parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects. Int. J. Heat Mass Transfer **46** (4), 643–651 (2003a) Page 17 of 17 **61** The Research and Impact of the Works by Don Nield - Nield, D.A., Kuznetsov, A.V., Xiong, M.: Thermally developing forced convection in a porous medium: parallel-plate channel or circular tube with walls at constant meat flux. J. Porous Media **6** (3), 203–212 (2003b) - Nield, D.A., Kuznetsov, A.V., Avramenko, A.A.: The onset of bioconvection in a horizontal porous-medium layer. Transp. Porous Media **54** (3), 335–344 (2004a) - Nield, D.A., Kuznetsov, A.V., Xiong, M.: Effects of viscous dissipation and flow work on forced convection in a channel filled by a saturated porous medium. Transp. Porous Media **56** (3), 351–367 (2004b) - Nield, D.A., Kuznetsov, A.V., Xiong, M.: Thermally developing forced convection in a porous medium: Parallel-plate channel or circular tube with isothermal walls. J. Porous Media **7** (1), 19–27 (2004c) - Nield, D.A., et al.: On the evolution of salt lakes: episodic convection beneath an evaporating salt lake. Water Resour. Res. (2008). https:// doi. org/ 10. 1029/ 2007W R0061 61 - Nield, D.A., Kuznetsov, A.V., Simmons, C.T.: The effect of strong heterogeneity on the onset of convection in a porous medium. Transp. Porous Media **77** (2), 169–186 (2009) - Nield, D.A., Kuznetsov, A.V., Simmons, C.T.: The effect of strong heterogeneity on the onset of convection in a porous medium: 2D/3D localization and spatially correlated random permeability fields. Transp. Porous Media **83** (3), 465–477 (2010) - Nield, D.A., Barletta, A., Celli, M.: The effect of viscous dissipation on the onset of convection in an inclined porous layer. J. Fluid Mech. **679** , 544–558 (2011) - Nield, D.A., Kuznetsov, A.V., Simmons, C.T.: Deep saline fluids in geologic basins: the possible role of the Soret effect. Transp. Porous Media **99** (2), 297–305 (2013) - Nield, D.A., et al.: The effects of double diffusion and local thermal non-equilibrium on the onset of convection in a layered porous medium: non-oscillatory instability. Transp. Porous Media **107** (1), 261–279 (2015) - Nield, D.A., et al.: The onset of convection in a sloping layered porous medium: effects of local thermal non-equilibrium and heterogeneity. Transp. Porous Media **114** (1), 87–97 (2016) - Nield, D.A., _Closure to “discussion of ‘the modeling of viscous dissipation in a saturated porous medium’ ” (2009, asme j. heat transfer, 131, p. 025501)._ Journal of Heat Transfer, 2009. **131** (2): p. 25502–1. - Nield, D.A. and A. Bejan, _Convection in porous media: First Edition_ . 1st ed, ed. D.A. Nield and A. Bejan. 1992: Springer-Verlag. - Nield, D.A. and A. Bejan, _Convection in porous media: Second Edition_ . 2nd ed, ed. D.A. Nield and A. Bejan. 1999: Springer-Verlag. - Nield, D.A. and A. Bejan, _Convection in porous media: Third Edition_ . 3rd ed, ed. D.A. Nield and A. Bejan. 2006: Springer-Verlag. - Nield, D.A. and A. Bejan, _Convection in porous media: Fourth edition_ . Convection in Porous Media: Fourth Edition. Vol. 9781461455417. 2013: Springer New York. 1–778. - Nield, D.A. and A. Bejan, _Convection in porous media: Fifth Edition_ . Convection in Porous Media. 2017: Springer International Publishing. 629–982. - Nield, D.A. and A.V. Kuznetsov, _Heat Transfer in Bidisperse Porous Media_ , in _Transport Phenomena in Porous Media III_ . 2005, Elsevier Ltd. p. 34–59. - Nield, D.A., et al. _Validation of a new theory for predicting the thermo-hydraulic effects of fluids with temperature-dependent viscosity flowing through porous media_ . In _Proceedings of the National Heat Transfer Conference_ . 2001. - Rees, D.A.S., Nield, D.A.: The effect of an embedded solid block on the onset of convection in a porous cavity. Int. J. Numer. Meth. Heat Fluid Flow **26** (3–4), 950–976 (2016) - Rees, D.A.S., Nield, D.A., Kuznetsov, A.V.: Vertical free convective boundary-layer flow in a bidisperse porous medium. J. Heat Transfer (2008). https:// doi. org/ 10. 1115/1. 29433 04 - Simmons, C.T., Sharp, J.M., Jr., Nield, D.A.: Modes of free convection in fractured low-permeability media. Water Resour. Res. (2008). https:// doi. org/ 10. 1029/ 2007W R0065 51 - Simmons, C.T., Kuznetsov, A.V., Nield, D.A.: Effect of strong heterogeneity on the onset of convection in a porous medium: importance of spatial dimensionality and geologic controls. Water Resour. Res. (2010). https:// doi. org/ 10. 1029/ 2009W R0086 06 - Vadasz, P., Nield, D.A.: Extending the Duhamel theorem to dual phase applications. Int. J. Heat Mass Transfer **51** (5–6), 1475–1479 (2008) **Publisher’s Note** Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.