An explicit solution for the combined heat and mass transfer by natural convection from a vertical wall in a non-Darcy porous medium

International Journal of Heat and Mass Transfer

Volumn 46, Issue 25, 2003, Pages 4813-4822

  Wang, Chun ^a   Liao, Shijun ^a   Zhu, Jimao ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Analytic solution; Homotopy analysis method; Non Darcy natural convection; Porous medium

Indexed keywords

MASS TRANSFER; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; POROUS MATERIALS;

SIMILARITY EQUATIONS;

HEAT TRANSFER;

FLUID FLOW; HEAT TRANSFER; MASS TRANSFER; MATHEMATICAL ANALYSIS; NATURAL CONVECTION; POROUS MEDIUM;

EID: 0141559127     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(03)00347-8     Document Type: Article

References (33)

1. Nield D.A. Bejan A. Convection in Porous Media second ed. 1998 Springer New York
2. Nield D.A. Onset of thermohaline convection in a porous medium Water Resour. Res. 4 1968 553-560
3. Khan A.A. Zebib A. Double diffusive instability in a vertical layer of a porous medium J. Heat Transfer 103 1981 179-181
4. Jang J.Y. Chang W.J. The flow and vortex instability of horizontal natural convection in a porous medium resulting from combined heat and mass buoyancy effects Int. J. Heat Mass Transfer 31 1988 769-777
5. Raptis A. Tzivanidis G. Kafousias N. Free convection and mass transfer flow through a porous medium bounded by an infinite vertical limiting surface with constant suction Lett. Heat Mass Transfer 8 1981 417-424
6. Raptis A. Kafousias N. Massalas C. Free convection and mass transfer flow through a porous medium bounded by an infinite vertical porous plate with constant heat flux ZAMM 62 1982 489-491
7. Bejan A. Khair K.R. Heat and mass transfer by natural convection in a porous medium Int. J. Heat Mass Transfer 28 1985 909-918
8. Nakayama A. Hossain M.A. An integral treatment for combined heat and mass transfer by natural convection in a porous medium Int. J. Heat Mass Transfer 38 1995 761-765
9. Singh P. Queeny Free convection heat and mass transfer along a vertical surface in a porous medium Acta Mech. 123 1997 69-73
10. Lai F.C. Kulacki F.A. Coupled heat and mass transfer by natural convection from vertical surfaces in porous media Int. J. Heat Mass Transfer 34 1991 1189-1194
11. Telles R.S. Trevisan O.V. Dispersion in heat and mass transfer natural convection along vertical boundaries in porous media Int. J. Heat Mass Transfer 36 1993 1357-1365
12. Angirasa D. Peterson G.P. Pop I. Combined heat and mass transfer by natural convection with opposing buoyancy effects in a fluid saturated porous medium Int. J. Heat Mass Transfer 40 1997 2755-2773
13. Trevisan O.V. Bejan A. Natural convection with combined heat and mass transfer buoyancy effects in a porous medium Int. J. Heat Mass Transfer 28 1985 1597-1611
14. Trevisan O.V. Bejan A. Mass and heat transfer by natural convection in a vertical slot filled with porous medium Int. J. Heat Mass Transfer 29 1986 403-415
15. Hasan M. Mujumdar A.S. Transpiration-induced buoyancy effect around a horizontal cylinder embedded in a porous medium Int. J. Energy Res. 9 1985 151-163
16. Jang J.Y. Chang W.J. Buoyancy-induced inclined boundary layer flow in a porous medium resulting from combined heat and mass buoyancy effects Int. Commun. Heat Mass Transfer 15 1988 17-30
17. Lai F.C. Choi C.Y. Kulacki F.A. Coupled heat and mass transfer by natural convection from slender bodies of revolution in porous media Int. Commun. Heat Mass Transfer 17 1990 609-620
18. Raptis A.A. Unsteady free convective flow and mass transfer through a porous medium bounded by an infinite vertical limiting surface with constant suction and time-dependent temperature Int. J. Energy Res. 7 1983 385-389
19. Jang J.Y. Ni J.R. Transient free convection with mass transfer from an isothermal vertical flat plate embedded in a porous medium Int. J. Heat Fluid Flow 10 1989 59-65
20. Kumari M. Nath G. Double diffusive unsteady free convection on two-dimensional and axisymmetric bodies in a porous medium Int. J. Energy Res. 13 1989 379-391
21. Pop I. Herwig H. Transient mass transfer from an isothermal vertical flat plate embedded in a porous medium Int. Commun. Heat Mass Transfer 17 1990 813-821
22. Trevisan O.V. Bejan A. Combined heat and mass transfer by natural convection in a porous medium Adv. Heat Transfer 20 1990 315-352
23. Kumari M. Takhar H.S. Nath G. Double diffusive non-Darcy free convection from two-dimensional and axisymmetric bodies of arbitray shape in a saturated porous medium Indian J. Technol. 26 1988 324-328
24. Jang J.Y. Tzeng D.J. Shaw H.J. Transient free convection with mass transfer on a vertical plate embedded in a high-porosity medium Numer. Heat Transfer Part A 20 1991 1-18
25. Rastogi S.K. Poulikakos D. Double-diffusion from a vertical surface in a porous region saturated with a non-Newtonian fluid Int. J. Heat Mass Transfer 38 1995 935-946
26. Murthy P.V.S.N. Singh P. Heat and mass transfer by natural convection in a non-Darcy porous medium Acta Mech. 138 1999 243-254
27. S.J. Liao, The proposed homotopy analysis techniques for the solution of nonlinear problems. Ph.D. dissertation (in English), Shanghai Jiao Tong University, Shanghai, 1992
28. Liao S.J. An approximate solution technique which does not depend upon small parameters: a special example Int. J. Nonlinear Mech. 30 1995 371-380
29. Liao S.J. A kind of approximate solution technique which does not depend upon small parameters (part 2): an application in fluid mechanics Int. J. Nonlinear Mech. 32 1997 815-822
30. Liao S.J. A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate J. Fluid Mech. 385 1999 101-128
31. Liao S.J. An explicit, totally analytic approximate solution for Blasius' viscous flow problems Int. J. Nonlinear Mech. 34 1999 759-778
32. Liao S.J. An analytic approximation of the drag coefficient for the viscous flow past a sphere Int. J. Nonlinear Mech. 37 2002 1-18
33. Liao S.J. Campo A. Analytic solutions of the temperature distribution in Blasius viscous flow problems J. Fluid Mech. 453 2002 411-425