Effect of the source term on steady free convection boundary layer flows over an vertical plate in a porous medium. Part I

Transport in Porous Media

Volumn 67, Issue 1, 2007, Pages 49-67

  Magyari, E ^a   Pop, I ^b   Postelnicu, A ^c  

^a ETH ZURICH   (Switzerland)

^b BABE BOLYAI UNIVERSITY   (Romania)

^c TRANSILVANIA UNIVERSITY OF BRASOV   (Romania)

Author keywords

Algebraic decay; Exact solutions; Exponential decay; Parallel flows; Porous media; Similar flows; Volumetric heat generation

Indexed keywords

ALGEBRA; BOUNDARY LAYER FLOW; BOUNDARY VALUE PROBLEMS; HEAT GENERATION; STEADY FLOW; THERMAL GRADIENTS;

ALGEBRAIC DECAY; EXPONENTIAL DECAY; HEAT ABSORPTION; SOURCE TERM;

NATURAL CONVECTION;

ALGEBRA; BOUNDARY LAYER FLOW; BOUNDARY VALUE PROBLEMS; HEAT GENERATION; NATURAL CONVECTION; STEADY FLOW; THERMAL GRADIENTS;

BOUNDARY LAYER; POROUS MEDIUM; STEADY FLOW; THERMAL CONVECTION;

EID: 34248504662     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-006-0012-1     Document Type: Article

References (40)

1. Abo-Eldahab E.M. and El Aziz M.A. (2004). Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/ absorption. Int. J. Thermal Sci. 43: 709-719
2. Abo-Eldahab E.M. and El Aziz M.A. (2005). Flow and heat transfer in a micropolar fluid past a stretching surface embedded in an non-darcian porous medium with uniform free stream. Appl Math. Comput. 162: 881-899
3. Bagai S. (2003). Similarity solutions of free convection boundary layers over a body of arbitrary shape in a porous medium with internal heat generation. Int. Comm. Heat Mass Transfer 30: 997-1003
4. Bejan A. (1995). Convective Heat Transfer 2nd ed. Wiley, New York
5. Bejan A., Dincer I., Lorente S., Miguel A.F. and Reis A.H. (2004). Porous and Complex Flow Structures in Modern Technologies. Springer, New York
6. Brown S.N. and Stewartson K. (1965). On similarity solutions of the boundary-layer equations with algebraic decay. J. Fluid. Mech. 23: 673-687
7. Chamkha Ali J. (1999). Hydromagnetic three-dimensional free convection on a vertical stretching surface with heat generation or absorption. Int. J. Heat Fluid Flow 20: 84-92
8. Chamkha Ali J. (2003). MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction. Int. Comm. Heat Mass Transfer 26: 1183-1191
9. Chamkha Ali J. and Quadri M.M.A. (2002). Combined heat and mass transfer by hydromagnetic natural convection over a cone embedded in a non-Darcian porous medium with heat generation/absorption effects. Heat Mass Transfer 38: 487-495
10. Cheng P. and Minkowycz W.J. (1977). Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike. J. Geophys. Res 82: 2040-2044
11. Crepeau J.C. and Clarksean R. (1997). Similarity solutions of natural convection with internal heat generation. ASME J. Heat Transfer 119: 183-185
12. Ene H.I. and Sanchez-Palencia E. (1982). On thermal equations for flow in porous media. Int. J. Engg. Sci. 29: 623-630
13. Goldstein S. (1965). On backward boundary layers and flow in converging passages. J. Fluid. Mech. 21: 33-45
14. Grosan T. and Pop I. (2001). Free convection over a vertical flat plate with variable wall temperature and internal heat generation in a porous medium saturated with a non-Newtonian fluid. Technische Mechanik 21: 313-318
15. Grosan T. and Pop I. (2002). Free convection of non-Newtonian fluids over a vertical surface in a porous medium with internal heat generation. Int. J. Appl. Mech. Engg. 7: 401-407
16. Hossain M.A. and Wilson M. (2002). Natural convection flow in a fluid-saturated porous medium enclosed by non-isothermal walls with heat generation. Int. J. Thermal Sci. 41: 447-454
17. Hossain M.A. and Rees D.A.S. (2005). Natural convection flow of water near its density maximum in a rectangular enclosure having isothermal walls with heat generation. Heat Mass Transfer 41: 367-374
18. Ingham, D. B. and Pop, I. (eds.): 1998, vol. II 2002, Transport Phenomena in Porous Media. Pergamon, Oxford
19. Ingham, D. B. and Pop, I. (eds.): 2005, Transport Phenomena in Porous Media III. Elsevier, Oxford.
20. Ingham, D. B., Bejan, A., Mamut, E. and Pop, I. (eds.): 2004, Emerging Technologies and Techniques in Porous Media. Kluwer, Dordrecht.
21. Kahn M.A. and Stewartson K. (1984). On natural convection from a cooling vertical sheet. Q. J. Mech. Appl. Math. 37: 325-338
22. Kuiken H.K. (1981a). On boundary layers in fluid mechanics that decay algebraically along stretches of wall that are not vanishingly small. IMA J. Appl. Math. 27: 387-405
23. Kuiken H.K. (1981). A backward free-convective boundary layers. Q. J. Mech. Appl. Math. 34: 397-413
24. Kuiken H.K. (1983). A class of backward free-convective boundary layer similarity solutions. Int. J. Heat Mass Transfer 26: 655-661
25. Magyari E. and Keller B. (2003). The opposing effect of viscous dissipation allows for a parallel free convection boundary layer flow along a cold vertical flat plate. Transport Porous Media 51: 227-230
26. Magyari E. and Keller B. (2004). Backward free convection boundary layers in porous media. Transport Porous Media 55: 285-300
27. Magyari, E. Rees, D. A. S. and Keller, B.: 2005, Effect of viscous dissipation on the flow in fluid saturated porous media, Chapter 9 in Handbook of Porous Media (2nd edition), Vafai, K. (ed.), Taylor & Francis, New York.
28. Merkin J.H. (1978). On solutions of the boundary-layer equations with algebraic decay. J. Fluid. Mech. 88: 309-321
29. Molla M.M., Hossain M.A. and Yao L.S. (2004). Natural convection flow along a vertical surface with uniform surface temperature in presence of heat generation/absorption. Int. J. Thermal Sci. 43: 157-163
30. Nield D.A. and Bejan A. (1999). Convection in Porous Media. Springer, New York
31. Pop I. and Ingham D.B. (2001). Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media. Pergamon, Oxford
32. Postelnicu A. and Pop I. (1999). Similarity solutions of free convection boundary layers with internal heat generation about a vertical and horizontal surfaces in porous media. Int. Comm. Heat Mass Transfer 26: 1183-1191
33. Postelnicu A., Grosan T. and Pop I. (2000). Free convection boundary layer over a vertical permeable flat plate in a porous medium with internal heat generation. Int. Comm. Heat Mass Transfer 27: 729-738
34. Rees D.A.S., Magyari E. and Keller B. (2003). The development of the asymptotic dissipation profile in a vertical free convective boundary layer flow in a porous medium. Transport Porous Media 53: 347-355
35. Tashtoush B. and Duwairi H.M. (2003). Transient mixed convection with internal heat generation and oscillating plate temperature. Acta Mechanica 174: 185-199
36. (2000). Handbook of Porous Media. Marcel Dekker, New York
37. (2005). Handbook of Porous Media, 2nd edition. Taylor & Francis, New York
38. Vajravelu K. and Nayfeh J. (1992). Hydromagnetic convection at a cone and a wedge. Int. Comm. Heat Mass Transfer 19: 701-710
39. Vajravelu K. and Hadjinicalaou A. (1993). Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation. Int. Comm. Heat Mass Transfer 20: 417-430
40. Vajravelu K. and Hadjinicalaou A. (1997). Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream. Int. J. Engg. Sci 35: 1237-1244