Free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating

International Journal of Heat and Mass Transfer

Volumn 42, Issue 14, 1999, Pages 2621-2627

  Lesnic, D ^a   Ingham, D B ^a   Pop, I ^b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY LAYER FLOW; FINITE DIFFERENCE METHOD; NEWTONIAN FLOW; PARTIAL DIFFERENTIAL EQUATIONS; POROUS MATERIALS; PROBLEM SOLVING; WALL FLOW;

CLOSED FORM SOLUTION MATCHING; NEWTONIAN HEATING; SERIES EXPANSION;

NATURAL CONVECTION;

BOUNDARY LAYER; NATURAL CONVECTION; POROUS MEDIUM;

BOUNDARY LAYER; MATHEMATICAL METHOD; POROUS MEDIUM; THERMAL CONVECTION;

EID: 0344673400     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(98)00251-8     Document Type: Article

References (17)

1. D.A. Nield, A. Bejan, in: Convection in Porous Media, 2nd ed., Springer-Verlag, Berlin, 1998.
2. D.B. Ingham, I. Pop (Eds.), Transport Phenomena in Porous Media, Elsevier, Amsterdam, 1998.
3. J.H. Merkin, Natural convection boundary-layer flow on a vertical surface with Newtonian heating, Int. J. Heat Fluid Flow 15 (1994) 392-398.
4. I. Pop, D. Lesnic, D.B. Ingham, Conjugate mixed convection on a vertical surface in a porous medium, Int. J. Heat Mass Transfer 38 (1995) 1517-1525.
5. M. Vynnycky, S. Kimura, Conjugate free convection due to a vertical plate in a porous medium, Int. J. Heat Mass Transfer 37 (1994) 229-236.
6. M. Vynnycky, S. Kimura, Transient conjugate free convection due to a vertical plate in a porous medium, Int. J. Heat Mass Transfer 38 (1995) 219-231.
7. D. Lesnic, D.B. Ingham, I. Pop, Conjugate free convection from a horizontal surface in a porous medium, J. Appl. Math. Mech. (ZAMM) 75 (1995) 715-722.
8. I. Pop, J.H. Merkin, Conjugate free convection on a vertical surface in a saturated porous medium, Fluid Dynamics Res. 16 (1995) 71-86.
9. F.J. Higuera, I. Pop, Conjugate natural convection heat transfer between two porous media separated by a vertical wall, Int. J. Heat Mass Transfer 40 (1997) 123-129.
10. S. Kimura, T. Kiwata, A. Okajima, I. Pop, Conjugate natural convection in porous media, Adv. Water Resour. 20 (1997) 11-126.
11. R. Hunt, G. Wilks, Continuous transformation computation of boundary-layer equations between similarity regimes, J. Comput. Phys. 40 (1981) 478-490.
12. I. Gladwell, The development of the boundary value codes in the ordinary differential equations, in: B. Childs, M. Scott, J.W. Daniel, E. Denman, P. Nelson (Eds.), Codes for Boundary Value Problems in Ordinary Differential Equations, Springer-Verlag, Berlin, 1979.
13. D.A.S. Rees, I. Pop, Free convection induced by a vertical wavy surface with uniform flux in a porous medium, J. Heat Transfer 117 (1995) 547-550.
14. M. Kumari, I. Pop, G. Nath, Natural convection in porous media above a near horizontal uniform heat flux surface, Warme- und Stoffuber. 25 (1990) 155-159.
15. K. Stewartson, On asymptotic expansions in the theory of boundary layers, J. Math. Phys. 36 (1957) 173-191.
16. J.H. Merkin, Free convection boundary layer on an isothermal horizontal cylinder, ASME-AIChE National Heat Transfer Conference, Paper No. 76-HT-16, St. Louis, U.S.A. (1976).
17. D. Shanks, Non-linear transformations of divergent and slowly convergent sequences, J. Maths. Phys. 34 (1995) 1-42.