An historical and topical note on convection in porous media

Journal of Heat Transfer

Volumn 135, Issue 6, 2013, Pages

  Nield, D A ^a   Kuznetsov, A V ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b North Carolina State University   (United States)

Author keywords

Bidisperse porous media; Cellular porous materials; Fluid porous medium domains; Nanofluids; Saturated porous media; Single phase convection

Indexed keywords

BIDISPERSE; CELLULAR POROUS MATERIALS; NANOFLUIDS; SATURATED POROUS MEDIA; SINGLE-PHASE CONVECTIONS;

HEAT TRANSFER; THERMODYNAMICS;

POROUS MATERIALS;

EID: 84878335672     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.4023567     Document Type: Article

References (137)

1. Horton, C. W., and Rogers, F. T., 1945, "Convection Currents in a Porous Medium," J. Appl. Phys., 16, pp. 367-370.
2. Morrison, H. L., Rogers, F. T., and Horton, C. W., 1949, "Convection Currents in Porous Media. II. Observations of Conditions at the Onset of Convection," J. Appl. Phys., 20, pp. 1027-1029.
3. Rogers, F. T., and Morrison, H. L., 1950, "Convection Currents in Porous Media. III. Extended Theory of the Critical Gradient," J. Appl. Phys., 21, pp. 1177-1180.
4. Rogers, F. T., Schilberg, L. E., and Morrison, H. L., 1951, "Convection Currents in Porous Media. IV. Remarks on the Theory," J. Appl. Phys., 22, pp. 1476-1479.
5. Rogers, F. T., and Schilberg, L. E., 1952, "Significance of Flow Patterns for Initial Convection in Porous Media," J. Appl. Phys., 23, pp. 1058-1059.
6. Rogers, F. T., 1953, "Convection Currents in Porous Media. V. Variational Form of the Theory," J. Appl. Phys., 4, pp. 877-880.
7. Lapwood, E. R., 1948, "Convection of a Fluid in a Porous Medium," Proc. Cambridge Philos. Soc., 44, pp. 508-521.
8. Wooding, R. A., 1957, "Steady State Free Thermal Convection of Liquid in a Saturated Permeable Medium," J. Fluid Mech., 2, pp. 273-285.
9. Wooding, R. A., 1958, "An Experiment on Free Thermal Convection of Water in Saturated Permeable Material," J. Fluid Mech., 3, pp. 582-600.
10. Wooding, R. A., 1960, "Rayleigh Instability of a Thermal Boundary Layer in Flow Through a Porous Medium," J. Fluid Mech., 9, pp. 183-192.
11. Wooding, R. A., 1962, "Free Convection of Fluid in a Vertical Tube Filled With Porous Material," J. Fluid Mech., 13, pp. 129-144.
12. Wooding, R. A., 1963, "Convection in a Saturated Porous Medium at Large Rayleigh Number or Péclet Number," J. Fluid Mech., 15, pp. 527-544.
13. Wooding, R. A., 1964, "Mixing Layer Flows in a Saturated Porous Medium," J. Fluid Mech., 19, pp. 103-112.
14. Elder, J. W., 1967, "Steady Free Convection in a Porous Medium Heated From Below," J. Fluid Mech., 27, pp. 29-48.
15. Elder, J. W., 1967, "Transient Convection in a Porous Medium," J. Fluid Mech., 27, pp. 609-623.
16. Gheorghitza, S. I., 1961, "The Marginal Stability in Porous Inhomogeneous Media," Proc. Cambridge Philos. Soc., 57, pp. 871-877.
17. McNabb, A., 1965, "On Convection in a Porous Medium," Proceedings of the 2nd Australasian Conference on Hydraulics and Fluid Mechanics, University of Auckland, Auckland, New Zealand, pp. C161-C171.
18. Prats, M., 1966, "The Effects of Horizontal Fluid Flow on Thermally Induced Convection Currents in PorousMediums," J. Geophys. Res., 71, pp. 4835-4837.
19. Katto, Y., and Masuoka, T., 1967, "Criterion for the Onset of Convective Flow in a Fluid in a Porous Medium," Int. J. Heat Mass Transfer, 10, pp. 297-309.
20. Nield, D. A., 1968, "Onset of Thermohaline Convection in a Porous Medium," Water Resour. Res., 11, pp. 553-560.
21. Bories, S. A., 1970, "Sur les Mécanismes Fondamentaux de la Convection Naturelle en Milieu Poreux," Ph.D. thesis, University of Toulouse, Toulouse, France.
22. Combarnous, M. A., 1970, "Convection Naturelle et Convection Mixte en Milieu Poreux," Ph.D. thesis, University of Paris, Paris.
23. Combarnous, M. A., and Bories, S. A., 1975, "Hydrothermal Convection in Saturated Porous Media," Adv. Hydrosci., 10, pp. 231-307.
24. Cheng, P., 1978, "Heat Transfer in Geothermal Systems," Adv. Heat Transfer, 14, pp. 1-105.
25. Shenoy, A. V., 1994, "Non-Newtonian Fluid Heat Transfer in Porous Media," Adv. Heat Transfer, 24, pp. 101-190.
26. Nield, D. A., and Bejan, A., 2013, Convection in Porous Media, 4th ed., Springer, New York.
27. Darcy, H. P. C., 1856, Les Fontaines Publiques de la Ville de Dijon, Victor Dalmont, Paris.
28. Muskat, M., 1937, The Flow of Homogeneous Fluids Through Porous Media, McGraw-Hill, New York, p. 71.
29. Dupuit, A. J. E. J., 1863, Etudes Theoriques et Pratiques sur le Mouvement des Eaux dans les Canaux Découverts et a Travers les Terrains Perméables, Victor Dalmont, Paris.
30. Forchheimer, P., 1901, "Wasserbewegung durch Boden," VDI Z., 45, pp. 1782-1788.
31. Lage, J. L., 1998, "The Fundamental Theory of Flow Through Permeable Media From Darcy to Turbulence," Transport Phenomena in Porous Media, D. B. Ingham, and I. Pop, eds., Elsevier Science, Oxford, pp. 1-30.
32. Nield, D. A., 1999, "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, pp. 3715-3718. (Pubitemid 29417212)
33. Hsu, C. T., and Cheng, P., 1990, "Thermal Dispersion in a Porous Medium," Int. J. Heat Mass Transfer, 33, pp. 1587-1597. (Pubitemid 20735791)
34. Nield, D. A., 1991, "The Limitations of the Brinkman-Forchheimer Equation in Modelling Flow in a Saturated Porous Medium and at an Interface," Int. J. Heat Fluid Flow, 2, pp. 269-272. (Pubitemid 21711323)
35. Vadasz, P., 1999, "Note and Discussion on J. L. Aurialt's Letter Comments on the Paper 'Local and Global Transitions to Chaos and Hysteresis in a Porous Layer Heated From Below' by P. Vadasz," Transp. Porous Media, 37, pp. 251-254.
36. Joseph, D. D., Nield, D. A., and Papanicolaou, G., 1982, "Nonlinear Equation Governing Flow in a Saturated Porous Medium," Water Resour. Res., 18, pp. 1049-1052.
37. Joseph, D. D., Nield, D. A., and Papanicolaou, G., 1983, "Correction to 'Nonlinear Equation Governing Flow in a Saturated Porous Medium' by D. D. Joseph et al.," Water Resour. Res., 19, p. 591.
38. Nield, D. A., 1994, "Modelling High Speed Flow of an Incompressible Fluid in a Saturated Porous Medium," Transp. Porous Media, 14, pp. 85-88.
39. Nield, D. A., 2001, "Resolution of a Paradox Involving Viscous Dissipation and Nonlinear Drag in a Porous Medium," Transp. Porous Media, 41, pp. 349-357.
40. Nield, D. A., 2001, "Alternative Models of Turbulence in a Porous Medium, and Related Matters," ASME J. Fluids Eng., 123(4), pp. 928-931. (Pubitemid 33715619)
41. Lage, J. L., 1992, "Effect of the Convective Inertia Term on Bénard Convection in a Porous Medium," Numer. Heat Transfer, Part A, 22, pp. 469-485. (Pubitemid 23634238)
42. Brinkman, H. C., 1947, "A Calculation of the Viscous Force Exerted by a Flowing Fluid on a Dense Swarm of Particles," Appl. Sci. Res., Sect. A, 1, pp. 27-34.
43. Bear, J., and Bachmat, Y., 1990, Introduction to Modeling of Transport Phenomena in Porous Media, Kluwer Academic, Dordrecht, The Netherlands, p. 174.
44. Whitaker, S., 1999, The Method of Volume Averaging, Kluwer, Dordrecht, The Netherlands, p. 173.
45. Givler, R. C., and Altobelli, S. A., 1994, "A Determination of the Effective Viscosity for the Brinkman-Forchheimer Flow Model," J. Fluid Mech., 258, pp. 355-370.
46. Ward, J. C., 1964, "Turbulent Flow in Porous Media," J. Hydraul., 90(HY5), pp. 1-12.
47. Lage, J. L., Antohe, B. V., and Nield, D. A., 1997, "Two Types of Nonlinear Pressure-Drop Versus Flow-Rate Relation Observed for Saturated Porous Media," ASME J. Fluids Eng., 119(3), pp. 700-706. (Pubitemid 127557526)
48. Mei, C. C., and Auriault, J. L., 1991, "The Effect of Weak Inertia on Flow Through a Porous Medium," J. Fluid Mech., 222, pp. 647-663.
49. Lage, J. L., and Antohe, B. V., 2000, "Darcy's Experiments and the Deviation to Nonlinear Flow Regime," ASME J. Fluids Eng., 122(3), pp. 619-625.
50. Ergun, S., 1952, "Fluid Flow Through Packed Columns," Chem. Eng. Prog., 48, pp. 89-94.
51. Nield, D. A., 2001, "Some Pitfalls in the Modelling of Convective Flows in Porous Media," Transp. Porous Media, 41, pp. 597-601. (Pubitemid 32739675)
52. Kaviany, M., 1995, Principles of Heat Transfer in Porous Media, 2nd ed., Springer, New York, Sec. 2.7.s.
53. Macdonald, I. F., El-Sayed, M. S., Mow, K., and Dullien, F. A. L., 1979, "Flow Through Porous Media-Ergun Equation Revisited," Ind. Eng. Chem. Fundam., 18, pp. 199-208. (Pubitemid 9472387)
54. Dybbs, A., and Edwards, R. V., 1984, A New Look at Porous Media Fluid Mechanics- Darcy to Turbulent, J. Bear, and Y. Corapcioglu, eds., Martinus Nijhoff, Dordrecht, The Netherlands, pp. 199-256.
55. Beavers, G. S., and Joseph, D. D., 1967, "Boundary Conditions at a Naturally Permeable Wall," J. Fluid Mech., 30, pp. 197-207.
56. Sahraoui, M., and Kaviany, M., 1992, "Slip and No-Slip Velocity Boundary Conditions at the Interface of Porous, Plain Media," Int. J. Heat Mass Transfer, 35, pp. 927-943.
57. Chen, F., and Chen, C. F., 1992, "Convection in Superposed Fluid and Porous Layers," J. Fluid Mech., 234, pp. 97-119.
58. Nield, D. A., 1997, "Discussion of a Discussion by F. Chen and C. F. Chen," ASME J. Heat Trans., 119(1), pp. 193-194.
59. Gartling, D. K., Hickox, C. E., and Givler, R. C., 1996, "Simulation of Coupled Viscous and Porous Flow Problems," Comput. Fluid Dyn. J., 7, pp. 23-48. (Pubitemid 126498148)
60. Ochoa-Tapia, J. A., and Whitaker, S., 1995, "Momentum Transfer at the Boundary Between a Porous Medium and a Homogeneous Fluid- I. Theoretical Development," Int. J. Heat Mass Transfer, 38, pp. 2635-2646.
61. Ochoa-Tapia, J. A., and Whitaker, S., 1995, "Momentum Transfer at the Boundary Between a Porous Medium and a Homogeneous Fluid- II. Comparison With Experiment," Int. J. Heat Mass Transfer, 38, pp. 2647-2655.
62. Kuznetsov, A. V., 1996, "Analytical Investigation of the Fluid Flow in the Interface Region Between a Porous Medium and a Clear Fluid in Channels Partially Filled With a Porous Medium," Appl. Sci. Res., 56, pp. 53-57.
63. Kuznetsov, A. V., 1997, "Influence of the Stress Jump Condition at the Porous-Medium/Clear-Fluid Interface on a Flow at a Porous Wall," Int. Commun. Heat Mass Transfer, 24, pp. 401-410.
64. Kuznetsov, A. V., 2003, "Limitation of the Single-Domain Numerical Approach: Comparisons of Analytical and Numerical Solutions for a Forced Convection Heat Transfer Problem in a Composite Duct," Comp. Assist. Mech. Eng. Sci., 10, pp. 33-43.
65. Salinger, A. G., Aris, R., and Derby, J. J., 1994, "Finite Element Formulations for Large-Scale Coupled Flows in Adjacent Porous and Open Fluid Domains," Int. J. Numer. Methods Fluids, 18, pp. 1185-1209. (Pubitemid 281026)
66. Alazmi, B., and Vafai, K., 2001, "Analysis of Fluid Flow and Heat Transfer Interfacial Conditions Between a Porous Medium and a Fluid Layer," Int. J. Heat Mass Transfer, 44, pp. 1735-1749.
67. Fadda, D., 1996, "Free Surface Flow With Heat Transfer in Clear and Porous Media," Ph.D. thesis, Southern Methodist University, Dallas, TX.
68. Nield, D. A., and Kuznetsov, A. V., 2009, "The Effect of a Transition Layer Between a Fluid and a Porous Medium: Shear Flow in a Channel," Transp. Porous Media, 78, pp. 477-487.
69. Jäger, W., and Mikelič, A., 2009, "Modeling Effective Interface Laws for Transport Phenomena Between an Unconfined Fluid and a Porous Medium Using Homogenization," Transp. Porous Media, 78, pp. 489-508.
70. Auriault, J. L., 2010, "About the Beavers and Joseph Boundary Condition," Transp. Porous Media, 83, pp. 257-266.
71. Jäger, W., and Mikelič, A., 2010, "Letter to the Editor: Comments on 'About the Beavers and Joseph Boundary Condition'," Transp. Porous Media, 83, pp. 267-268.
72. Auriault, J. L., 2010, "Reply to the Comments on 'About the Beavers and Joseph Boundary Condition'," Transp. Porous Media, 83, pp. 269-270.
73. Chandesris, M., and Jamet, D., 2006, "Boundary Conditions at a Planar Fluid- Porous Interface for a Poiseuille Flow," Int. J. Heat Mass Transfer, 49, pp. 2137-2150. (Pubitemid 43732547)
74. Chandesris, M., and Jamet, D., 2007, "Boundary Conditions at a Fluid-Porous Interface: An A Priori Estimation of the Stress Jump Boundary Conditions," Int. J. Heat Mass Transfer, 50, pp. 3422-3436. (Pubitemid 46671431)
75. Chandesris, M., and Jamet, D., 2009, "Derivation of Jump Conditions for the Turbulence k-e Model at a Fluid/Porous Interface," Int. J. Heat Fluid Flow, 30, pp. 306-318.
76. Chandesris, M., and Jamet, D., 2009, "Jump Conditions and Surface-Excess Quantities at a Fluid/Porous Interface: A Multiple Scale Approach," Transp. Porous Media, 78, pp. 419-428.
77. Jamet, D., and Chandesris, M., 2009, "On the Intrinsic Nature of Jump Coefficients at the Interface Between a Porous Medium and a Free Fluid Region," Int. J. Heat Mass Transfer, 52, pp. 289-300.
78. Zhang, X. Y., and Nepf, H. M., 2011, "Exchange Flow Between Open Water and Floating Vegetation," Exp. Fluid Mech., 11, pp. 531-546.
79. Toutant, A., Chandesris, M., and Jamet, D., 2009, "Jump Conditions for Filtered Quantities at an Under-Resolved Discontinuous Interface. Part I: Theoretical Development," Int. J. Multiphase Flow, 35, pp. 1100-1118.
80. Jamet, D., Chandesris,M., and Goyeau, B., 2009, "On the Equivalence of the Discontinuous One- and Two-DomainApproaches for theModeling of Transport Phenomena at the Fluid/Porous Interface," Transp. PorousMedia, 78, pp. 403-418.
81. d'Hueppe, A., Chandesris, M., and Jamet, D., 2011, "Boundary Conditions at a Fluid-Porous Interface for a Convective Heat Transfer Problem: Analysis of the Jump Relations," Int. J. Heat Mass. Transfer, 54, pp. 3683-3693.
82. d'Hueppe, M., Chandesris, M., Jamet, D., and Goyeau, B., 2012, "Coupling a Two-Temperature Model and a One-Temperature Model at a Fluid-Porous Interface," Int. J. Heat Mass Transfer, 55, pp. 2510-2523.
83. Kumari, M., and Jayanthi, S., 2004, "Non-Darcy Non-Newtonian Free Convection Flow Over a Horizontal Cylinder in a Saturated Porous Medium," Int. Commun. Heat Mass Transfer, 31, pp. 1219-1226. (Pubitemid 39308138)
84. Kumari, M., and Nath, G., 2004, "Non-Darcy Mixed Convection in Power- Law Fluids Along a Non-Isothermal Horizontal Surface in a Porous Medium," Int. J. Eng. Sci., 42, pp. 353-369.
85. Nield, D. A., 2009, "The Modeling of Form Drag in a Porous Medium Saturated by a Power-Law Fluid," ASME J. Heat Trans., 131(10), p. 104501.
86. Inoue, M., and Nakayama, A., 1998, "Numerical Modeling of Non-Newtonian Fluid Flow in a Porous Medium Using a Three-Dimensional Periodic Array," ASME J. Fluids Eng., 120(1), pp. 131-135. (Pubitemid 128562900)
87. Nakayama, A., and Shenoy, A. V., 1992, "A Unified Similarity Transformation for Darcy and Non-Darcy Forced-, Free- and Mixed-Convection Heat Transfer in Non-Newtonian Inelastic Fluid-Saturated Porous Media," Chem. Eng. Sci., 50, pp. 33-45. (Pubitemid 23588618)
88. Nakayama, A., and Shenoy, A. V., 1993, "Combined Forced and Free- Convection Heat-Transfer in Power-Law Fluid-Saturated Porous Media," Appl. Sci. Res., 50, pp. 83-85.
89. Nakayama, A., and Shenoy, A. V., 1993, "Non-Darcy Forced Convective Heat Transfer in a Channel Embedded in a Non-Newtonian Inelastic Fluid- Saturated Porous Medium," Can. J. Chem. Eng., 71, pp. 168-173. (Pubitemid 23623047)
90. Nield, D. A., 2011, "A Note on the Onset of Convection in a Layer of a Porous Medium Saturated by a Non-Newtonian Fluid of Power-Law Type," Transp. Porous Media, 87, pp. 121-123.
91. Nield, D. A., 2011, "A Further Note on the Onset of Convection in a Layer of a Porous Medium Saturated by a Non-Newtonian Fluid of Power-Law Type," Transp. Porous Media, 88, pp. 187-191.
92. Vadasz, P., 1998, "Free Convection in Rotating Porous Media," Transport Phenomena in Porous Media, D. B. Ingham, and I. Pop, eds., Elsevier, Oxford, UK, pp. 285-312.
93. Vadasz, P., 1999, "Flow in Rotating Porous Media," Fluid Transport in Porous Media, P. du Plessis, ed., Computational Mechanics, Southampton, UK, pp. 161-214.
94. Raptis, A., and Perdikis, C., 1987, "Hydromagnetic Free-Convective Flow Through Porous Media," Encyclopedia of Fluid Mechanics, and Modeling, N. P. Cheremisinoff, ed., Gulf, Houston, TX, pp. 239-262.
95. Beavers, G. S., and Sparrow, E. M., 1969, "Non-Darcy Flow Through Fibrous Porous Media," ASME J. Appl. Mech., 36(4), pp. 711-714.
96. Beavers, G. S., Sparrow, E. M., and Rodenz, D. E., 1973, "Influence of Bed Size on the Flow Characteristics and Porosity of Randomly Packed Beds of Spheres," ASME J. Appl. Mech., 40(3), pp. 655-660.
97. Bakhmeteff, B. A., and Feodoroff, N. V., 1937, "Flow Through Granular Beds," ASME J. Appl. Mech., 4, pp. A97-A104.
98. Fand, R. M., Varahasamy, M., and Yamamoto, L. M., 1994, "Heat Transfer by Natural Convection From Horizontal Cylinders Embedded in Porous Media Whose Matrices are Composed of Spheres: Viscous Dissipation," Heat Transfer 1994, Proceedings of the 10th IHTC, Brighton, UK, G. F. Hewitt, ed., Institute of Chemical Engineers, Rugby, UK, Vol. 5, pp. 237-242.
99. Al-Hadhrami, A. K., Elliot, L., and Ingham, D. B., 2003, "A New Model for Viscous Dissipation in Porous Media Across a Range of Permeability Values," Transp. Porous Media, 53, pp. 117-122. (Pubitemid 36726796)
100. Nield, D. A., 2004, "Comments on 'A New Model for Viscous Dissipation in Porous Media Across a Range of Permeability Values'," Transp. Porous Media, 55, pp. 253-254.
101. Salama, A., 2011, "On the Brinkman Equation and the Concept of Viscous Dissipation in Porous Media," Spec. Top. Rev. Porous Media, 2, pp. 83-89.
102. Nakayama, A., and Pop, I., 1989, "Free Convection Over a Non-Isothermal Body in a Porous Medium With Viscous Dissipation," Int. Commun. Heat Mass Transfer, 16, pp. 173-180.
103. Murthy, P. V. S. N., and Singh, P., 1997, "Effect of Viscous Dissipation on a Non-Darcy Natural Convection Regime," Int. J. Heat Mass Transfer, 40, pp. 1251-1260.
104. Costa, V. A., 2009, "Discussion: 'The Modeling of Viscous Dissipation in a Saturated Porous Medium' (Nield, D. A., 2007, ASME J. Heat Transfer, 129, pp. 1459-1463)," ASME J. Heat Trans., 131(2), p. 025501.
105. Costa, V. A. F., 2010, "Comment on the Paper by I. A. Badruddin, Z. A. Zainal, Z. A. Khan, and Z. Mallick 'Effect of Viscous Dissipation and Radiation on Natural Convection in a Porous Medium Embedded Within Vertical Annulus,' IJTS, 2007, 46(3), pp. 221-227," Int. J. Therm. Sci., 49, pp. 1874-1875.
106. Nield, D. A., 2007, "The Modeling of Viscous Dissipation in a Saturated Porous Medium," ASME J. Heat Trans., 129(10), pp. 1459-1463. (Pubitemid 350200518)
107. Nield, D. A., 2009, "Closure to 'Discussion of 'The Modeling of Viscous Dissipation in a Saturated Porous Medium' (2009, ASME J. Heat Transfer, 131, p. 025501)," ASME J. Heat Trans., 131(2), p. 025502.
108. Barletta, A., 2008, "Comments on a Paradox of Viscous Dissipation in Relation to the Oberbeck-Boussinesq Approach," Int. J. Heat Mass Transfer, 51, pp. 6312-6316.
109. Nield, D. A., and Barletta, A., 2010, "Comment on the Comment by V. A. F. Costa, Int. J. Therm. Sci., 2010, 49(9), pp. 1874-1875, on the paper by I. A. Badruddin, Z. A. Zainal, Z. A. Khan, and Z. Mallick, 'Effect of Viscous Dissipation and Radiation on Natural Convection in a Porous Medium Embedded Within Vertical Annulus' (Int. J. Therm. Sci., 2007, 46(3), pp. 221-227)," Int. J. Therm. Sci., 49, pp. 2491-2492.
110. Magyari, E., Rees, D. A. S., and Keller, B., 2005, "Effect of Viscous Dissipation on the Flow in Fluid Saturated Porous Media," Handbook of Porous Media, 2nd ed., K. Vafai, ed., Taylor and Francis, New York, pp. 373-406.
111. Tiwari, R. K., and Das, M. K., 2007, "Heat Transfer Augmentation in a Two- Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids," Int. J. Heat Mass Transfer, 50, pp. 2002-2018.
112. Brinkman, H. C., 1952, "The Viscosity of Concentrated Suspensions and Solutions," Chem. Phys., 20, pp. 571-581.
113. Maxwell, J. C., 1904, Treatise on Electricity and Magnetism, Oxford University Press, Oxford, UK.
114. Buongiorno, J., 2006, "Convective Transport in Nanofluids," ASME J. Heat Trans., 128(3), pp. 240-250.
115. Nield, D. A., and Kuznetsov, A. V., 2009, "Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid," Int. J. Heat Mass Transfer, 52, pp. 5796-5801.
116. Viskanta, R., 2009, "Overview of Radiative Transfer in Cellular Porous Materials," HT2009: Proceedings of the ASME Summer Heat Transfer Conference, Vol. 1, pp. 457-565.
117. Nield, D. A., and Kuznetsov, A. V., 2010, "The Onset of Convection in a Layer of Cellular Porous Material: Effect of Temperature-Dependent Conductivity Arising From Radiative Transfer," ASME J. Heat Trans., 132(7), p. 074503.
118. Nield, D. A., and Kuznetsov, A. V., 2010, "Forced Convection in Cellular Porous Materials: Effect of Temperature-Dependent Conductivity Arising From Radiative Transfer," Int. J. Heat Mass Transfer, 53, pp. 2680-2684.
119. Kuznetsov, A. V., and Nield, D. A., 2010, "The Cheng-Minkowycz Problem for Cellular Porous Materials: Effect of Temperature-Dependent Conductivity Arising From Radiative Transfer," Int. J. Heat Mass Transfer, 53, pp. 2676-2679.
120. Nield, D. A., and Kuznetsov, A. V., 2005, "A Two-Velocity Two-Temperature Model for a Bi-Dispersed Porous Medium: Forced Convection in a Channel," Transp. Porous Media, 59, pp. 325-339. (Pubitemid 40374010)
121. Nield, D. A., and Kuznetsov, A. V., 2004, "Forced Convection in a Bi- Disperse Porous Medium Channel: A Conjugate Problem," Int. J. Heat Mass Transfer, 47, pp. 5375-5380. (Pubitemid 39483796)
122. Kuznetsov, A. V., and Nield, D. A., 2006, "Thermally Developing Forced Convection in a Bidisperse Porous Medium," J. Porous Media, 9, pp. 393-402.
123. Kuznetsov, A. V., and Nield, D. A., 2010, "Forced Convection in a Channel Partly Occupied by a Bidisperse Porous Medium: Asymmetric Case," Int. J. Heat Mass Transfer, 53, pp. 5167-5175.
124. Nield, D. A., and Kuznetsov, A. V., 2011, "Forced Convection in a Channel Partly Occupied by a Bidisperse Porous Medium: Symmetric Case," ASME J. Heat Trans., 133(7), p. 072601.
125. Nield, D. A., and Kuznetsov, A. V., 2005, "Heat Transfer in Bidisperse Porous Media," Transport Phenomena in Porous Media III, D. B. Ingham, and I. Pop, eds., Elsevier, Oxford, UK, pp. 34-59.
126. Nield, D. A., and Kuznetsov, A. V., 2006, "The Onset of Convection in a Bidisperse Porous Medium," Int. J. Heat Mass Transfer, 49, pp. 3068-3074. (Pubitemid 43902829)
127. Nield, D. A., and Kuznetsov, A. V., 2007, "The Effects of Combined Horizontal and Vertical Heterogeneity on the Onset of Convection in a Bidisperse Porous Medium," Int. J. Heat Mass Transfer, 50, pp. 3329-3339. (Pubitemid 46659989)
128. Straughan, B., 2009, "On the Nield-Kuznetsov Theory for Convection in Bidisperse Porous Media," Transp. Porous Media, 77, pp. 159-168.
129. Kuznetsov, A. V., and Nield, D. A., 2011, "The Onset of Convection in a Tridisperse Porous Medium," Int. J. Heat Mass Transfer, 54, pp. 3120-3127.
130. Narasimhan, A., and Reddy, B. V. K., 2010, "Natural Convection Inside a Bidisperse Porous Medium Enclosure," ASME J. Heat Trans., 132(1), p. 012502.
131. Narasimhan, A., and Reddy, B. V. K., 2011, "Laminar Forced Convection in a Heat Generating Bi-Disperse Porous Medium Channel," Int. J. Heat Mass Transfer, 54, pp. 636-644.
132. Narasimhan, A., and Reddy, B. V. K., 2011, "Resonance of Natural Convection Inside a Bidisperse Porous Medium Enclosure," ASME J. Heat Trans., 133(4), p. 042601.
133. Narasimhan, A., Reddy, B. V. K., and Dutta, P., 2012, "Thermal Management Using the Bi-Disperse Porous Medium Approach," Int. J. Heat Mass Transfer, 55, pp. 538-546.
134. Nield, D. A., and Kuznetsov, A. V., 2008, "Natural Convection About a Vertical Plate Embedded in a Bidisperse Porous Medium," Int. J. Heat Mass Transfer, 51, pp. 1658-1664. (Pubitemid 351295878)
135. Rees, D. A. S., Nield, D. A., and Kuznetsov, A. V., 2008, "Vertical Free Convective Boundary-Layer Flow in a Bidisperse Porous Medium," ASME J. Heat Trans., 130(9), p. 092601.
136. Kumari, M., and Pop, I., 2009, "Mixed Convection Boundary Layer Flow Past a Horizontal Circular Cylinder Embedded in a Bidisperse Porous Medium," Transp. Porous Media, 77, pp. 287-308.
137. Revnic, C., Grosan, Y., Pop, I., and Ingham, D. B., 2009, "Free Convection in a Square Cavity Filled With a Bidisperse Porous Medium," Int. J. Therm. Sci., 48, pp. 1876-1883.