An explicit analytic solution for non-Darcy natural convection over horizontal plate with surface mass flux and thermal dispersion effects

Acta Mechanica

Volumn 165, Issue 3-4, 2003, Pages 139-150

  Wang, C ^a   Liao, S J ^a   Zhu, J M ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; POROUS MATERIALS; THERMAL EFFECTS; TOPOLOGY;

NON-DARCY NATURAL CONVECTION; SURFACE MASS FLUX; THERMAL DISPERSION EFFECTS;

NATURAL CONVECTION;

EID: 0348146384     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-003-0039-0     Document Type: Article

References (21)

1. Plumb, O., Huenefeld, J. C.: Non-Darcy natural convection from heated surfaces in saturated porous medium. Int. J. Heat Mass Transfer 24, 765-768 (1981).
2. Bejan, A., Poulikakos, D.: The non-Darcy regime for vertical boundary layer natural convection in a porous medium. Int. J. Heat Mass Transfer 27, 717-722 (1984).
3. Lai, F. C., Kulacki, F. A.: Non-Darcy convection from horizontal impermeable surface in saturated porous media. Int. J. Heat Mass Transfer 30, 2189-2192 (1987).
4. Ramanaiah, G., Malarvizhi, G.: Non-Darcy axi-symmetric free convection on permeable horizontal surfaces in a saturated porous medium. Int. J. Heat Fluid Flow 12, 89-91 (1991).
5. Cheng, P.: Thermal dispersion effects in non-Darcian convective flows in a saturated porous medium. Lett. Heat Mass Transfer 8, 267-270 (1981).
6. Plumb, O.: The effect of thermal dispersion on heat transfer in packed bed boundary layer. Proc. of 1st ASME/JSME Thermal Engineering Joint Conference 2, pp. 17-21, 1983.
7. Hong, J. T., Tien, C. L.: Analysis of thermal dispersion effect on vertical plate natural convection in porous media. Int. J. Heat Mass Transfer 30, 143-150 (1987).
8. Lai, F. C., Kulacki, F. A.: Thermal dispersion effect on non-Darcy convection from horizontal surface in saturated porous media. Int. J. Heat Mass Transfer 32, 971-976 (1989).
9. Lai, F. C., Kulacki, F. A.: Non-Darcy mixed convection along a vertical wall in a saturated porous medium. Trans. ASME J. Heat Transfer 113, 252-255 (1991).
10. Murthy, P. V. S. N., Singh, P.: Thermal dispersion effects on non-Darcy natural convection with lateral mass flux. Heat and Mass Transfer 33, 1-5 (1997).
11. Murthy, P. V. S. N., Singh, P.: Thermal dispersion effects on non-Darcy natural convection over horizontal plate with surface mass flux. Arch. Appl. Mech. 67, 487-495 (1997).
12. Murthy, P. V. S. N., Singh, P.: Heat and mass transfer by natural convection in a non-Darcy porous medium. Acta Mech. 138, 243-254 (1999).
13. Tien, C. L., Vafai, K.: Convective and radiative heat transfer in porous media. Adv. Appl. Mech. 27, 225-281 (1990).
14. Nield, D. A., Bejan, A.: Convection in porous media, 2nd ed. New York: Springer 1998.
15. Liao, S. J.: The proposed homotopy analysis techniques for the solution of nonlinear problems. Ph.D. diss. (in English), Shanghai Jiao Tong University, Shanghai, 1992.
16. Liao, S. J.: An approximate solution technique which does not depend upon small parameters: a special example. Int. J. Nonlinear Mech. 30, 371-380 (1995).
17. 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, 815-822 (1997).
18. Liao, S. J.: A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate. J. Fluid Mech. 385, 101-128 (1999).
19. Liao, S. J.: An explicit, totally analytic approximate solution for Blasius' viscous flow problems. Int. J. Nonlinear Mech. 34, 759-778 (1999).
20. Liao, S. J.: An analytic approximation of the drag coefficient for the viscous flow past a sphere. Int. J. Nonlinear Mech. 37, 1-18 (2002).
21. Liao, S. J., Campo, A.: Analytic solutions of the temperature distribution in Blasius' viscous flow problems. J. Fluid Mech. 453, 411-425 (2002).