A thermal non-equilibrium perspective on mixed convection in a vertical channel

International Journal of Thermal Sciences

Volumn 56, Issue , 2012, Pages 23-34

  Khandelwal, Manish K ^a   Bera, P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

Author keywords

Chebyshev spectral collocation method; Mixed convection; Non Darcy model; Porous medium; Thermal non equilibrium

Indexed keywords

CHEBYSHEV SPECTRAL COLLOCATION METHOD; DARCY NUMBER; EQUILIBRIUM STATE; EXTENDED MODEL; FLOW BYES; FLOW PROFILE; FORCHHEIMER NUMBER; FORM DRAG; GOVERNING EQUATIONS; GOVERNING PARAMETERS; HEAT TRANSFER AND FLUID FLOW; HEAT TRANSFER RATE; INCREASING FUNCTIONS; MINIMUM VALUE; POROUS MEDIUM; RAYLEIGH NUMBER; SPECTRAL COLLOCATION METHOD; THERMAL CONDUCTIVITY RATIO; THERMAL NON-EQUILIBRIUM; VELOCITY PROFILES; VERTICAL CHANNELS;

BUOYANCY; FLOW SEPARATION; MIXED CONVECTION; POROUS MATERIALS;

THERMAL CONDUCTIVITY;

EID: 84858283370     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2012.01.014     Document Type: Article

References (43)

1. D.A. Nield, and A. Bejan Convection in Porous Media 2006 Springer New York
2. K. Vafai Handbook of Porous Media 2000 Marcel Dekker New York
3. D.B. Ingham, and I. Pop Transport Phenomena in Porous Media 1998 Pergamon Oxford
4. V.V. Calmidi, and R.L. Mahajan Forced convection in high porosity foams Transactions of the ASME Journal of Heat Transfer 122 2000 557 565
5. C.Y. Zhao, T.J. Lu, and H.P. Hodson Thermal radiation in ultralight metal foams with open cells International Journal of Heat and Mass Transfer 47 2004 2927 2939 (Pubitemid 38616279)
6. N. Sanjuan, S. Simal, J. Bon, and A. Mulet Modelling of broccoli stems rehydration process Journal of Food Engineering 42 1999 27 31
7. S.E. Zorrilla, and A.C. Rubiolo Mathematical modeling for immersion chilling and freezing of foods. Part I. Model development Journal of Food Engineering 66 2005 329 338
8. D.D. Dincov, K.A. Parrott, and K.A. Pericleous Heat and mass transfer in two-phase porous materials under intensive microwave heating Journal of Food Engineering 65 2004 403 412
9. M. Parang, and M. Keyhani Boundary effects in laminar mixed convection flow through an annular porous medium Journal of Heat Transfer 109 1987 1039 1041 (Pubitemid 18530835)
10. K. Murlidhar Mixed convection flow in a saturated porous annulus International Journal of Heat and Mass Transfer 32 1989 881 888
11. A. Barletta, S. Lazzari, E. Magyari, and I. Pop Mixed convection with heating effects in a vertical porous annulus with a radially varying magnetic field International Journal of Heat and Mass Transfer 51 2008 5777 5784
12. A. Hadim Numerical study of non-Darcy mixed convection in a vertical porous channel Journal of Thermophysics and Heat Transfer 8 1994 371 373 (Pubitemid 280327)
13. A. Hadim, and G. Chen Non-Darcy mixed convection in a vertical porous channel with asymmetric wall heating Journal of Thermophysics and Heat Transfer 8 1994 805 808 (Pubitemid 290096)
14. A. Hadim, and G. Chen Non-Darcy mixed convection in a vertical porous channel with discrete heat sources at the walls International Communications in Heat and Mass Transfer 21 1994 377 387 (Pubitemid 278577)
15. Y.C. Chen, J.N. Chung, C.S. Wu, and Y.F. Lue Non-Darcy mixed convection in a vertical channel filled with a porous medium International Journal of Heat and Mass Transfer 43 2000 2421 2429
16. P. Bera, and A. Khalili Stability of mixed convection in an anisotropic porous channel Physics of Fluids 14 2002 1617 1630 (Pubitemid 34573037)
17. Y.C. Chen Non-Darcy flow stability of mixed convection in a vertical channel filled with a porous medium International Journal of Heat and Mass Transfer 47 2004 1257 1266
18. P. Bera, and A. Khalili Influence of Prandtl number on stability of mixed convective flow in a vertical channel filled with a porous medium Physics of Fluids 18 2006 124103 124110
19. P. Bera, and A. Khalili Stability of buoyancy opposed mixed convection in a vertical channel and its dependency on permeability Advances in Water Resources 30 2007 2296 2308 (Pubitemid 47335547)
20. J. Kumar, P. Bera, and A. Khalili Influence of inertia and drag terms on the stability of mixed convection in a vertical porous-medium channel International Journal of Heat and Mass Transfer 53 2010 5261 5273
21. A. Kumar, P. Bera, and J. Kumar Non Darcy mixed convection in a vertical pipe filled with porous medium International Journal of Thermal Sciences 50 2011 725 735
22. P. Bera, and A. Kumar Analysis of least stable mode of buoyancy assisted mixed convective flow in vertical pipe filled with porous medium WCE 2011 Proceedings of the World Congress on Engineering 2011 vol. I July 6-8, 2011 London, U.K
23. T.E.W. Schumann Heat transfer: a liquid flowing through a porous prism Journal of Franklin Institute 208 1929 405 416
24. A.V. Kuznetsov Thermal non-equilibrium, non-Darcian forced convection in a channel filled with a fluid saturated porous medium- A perturbation solution Applied Scientific Research 57 1997 119 131 (Pubitemid 127760386)
25. D.A. Nield, and A.V. Kuznetsov Local thermal non-equilibrium effects in a forced convection in a porous medium channel: a conjugate problem International Journal of Heat and Mass Transfer 42 1999 3245 3252 (Pubitemid 29388809)
26. D.A. Nield, A.V. Kuznetsov, and M. Xiong Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium International Journal of Heat and Mass Transfer 45 2002 4949 4955 (Pubitemid 35157197)
27. Y. Mahmoudi, and M. Maerefat Analytical investigation of heat transfer enhancement in a channel partially lled with a porous material under local thermal non-equilibrium condition International Journal of Thermal Sciences 50 12 2011 2386 2401
28. N.H. Saeid Analysis of free convection about a horizontal cylinder in a porous media using a thermal non-equilibrium model International Communications in Heat and Mass Transfer 33 2 2006 158 165 (Pubitemid 43192379)
29. A.N. Borujerdi, A.R. Noghrehabadi, and D.A.S. Rees Onset of convection in a horizontal porous channel with uniform heat generation using a thermal non-equilibrium model Transport in Porous Media 69 2007 343 357
30. K.C. Wong, and N.H. Saeid Numerical study of mixed convection on jet impingement cooling in a horizontal porous layer under local thermal non-equilibrium conditions International Journal of Thermal Sciences 48 2009 860 870
31. N.H. Saeid Analysis of mixed convection in a vertical porous layer using non-equilibrium model International Journal of Heat and Mass Transfer 47 26 2004 5619 5627 (Pubitemid 39393878)
32. I.A. Badruddin, Z.A. Zainal, P.A.A. Narayana, and K.N. Seetharamu Thermal non-equilibrium modeling of heat transfer through vertical annulus embedded with porous medium International Journal of Heat and Mass Transfer 49 2006 4955 4965 (Pubitemid 44635480)
33. D.A.S. Rees The Effect of Local Thermal non-equilibrium on the stability of convection in a vertical porous channel Transport in Porous Media 87 2 2011 459 464
34. N.J.S. Ahmed, I.A. Badruddin, J. Kanesan, Z.A. Zainal, and K.S.N. Ahamed Study of mixed convection in an annular vertical cylinder filled with saturated porous medium, using thermal non-equilibrium model International Journal of Heat and Mass Transfer 54 2011 3822 3825
35. P. Vadasz Basic natural convection in a vertical porous layer differentially heated from its sidewalls subject to lack of local thermal equilibrium International Journal of Heat and Mass Transfer 54 2011 2387 2396
36. R.C. Givler, and S.A. Altobelli A determination of the effective viscosity for the Brinkman-Forchheimer flow model Journal of Fluid Mechanics 258 1994 355 370
37. W.P. Breugem The effective viscosity of a channel-type porous medium Physics of Fluids 19 2007 103104 103108
38. A.A. Hill, and B. Straughan Poiseuille flow in a fluid overlying a porous medium Journal of Fluid Mechanics 603 2008 137 149 (Pubitemid 351622229)
39. M.S. Phanikumar, and R.L. Mahajan Non-Darcy natural convection in high porosity metal foams International Journal of Heat and Mass Transfer 45 2002 3781 3793 (Pubitemid 34749872)
40. F. Alavyoon On natural convection in vertical porous enclosures due to prescribed fluxes of heat and mass at the vertical boundaries International Journal of Heat Mass Transfer 36 1993 2479 2498
41. P.G. Drazin, and W.H. Reid Hydrodynamic Stability 2004 Cambridge University Press Cambridge
42. Y.C. Su, and J.N. Chung Linear stability analysis of mixed-convection flow in a vertical pipe Journal of Fluid Mechanics 422 2000 141 166 (Pubitemid 36154662)
43. P. Bera, J. Kumar, and A. Khalili Hot springs mediate spatial exchange of heat and mass in the enclosed sediment domain: a stability perspective Advances in Water Resources 34 2011 817 828