Effect of variable viscosity on MHD non-Darcy mixed convective heat transfer over a stretching sheet embedded in a porous medium with non-uniform heat source/sink

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 6, 2010, Pages 1553-1564

  Pal, Dulal ^a   Mondal, Hiranmoy ^b  

^a VISVA BHARATI UNIVERSITY   (India)

^b Bengal Institute of Technology and Management   (India)

Author keywords

Heat transfer; Magnetohydrodynamics; Ohmic dissipation; Porous medium; Stretching surface

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; ELECTRIC FIELDS; FRICTION; HEAT CONVECTION; MAGNETOHYDRODYNAMICS; NUSSELT NUMBER; ORDINARY DIFFERENTIAL EQUATIONS; PRANDTL NUMBER; RUNGE KUTTA METHODS; VISCOSITY;

CONVECTIVE HEAT TRANSFER; MIXED CONVECTIVE; NON-DARCY; NON-UNIFORM HEAT SOURCE/SINK; OHMIC DISSIPATION; PHYSICAL PARAMETERS; POROUS MEDIUM; STRETCHING SHEET; STRETCHING SURFACE; VARIABLE VISCOSITY;

POROUS MATERIALS;

EID: 72049093487     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.07.002     Document Type: Article

References (33)

1. Crane L.J. Flow past a stretching plate. Z Angew Math Phys 21 (1970) 645-647
2. Ishak A., Nazar R., and Pop I. Mixed convection boundary layer in the stagnation-point flow toward a stretching vertical sheet. Meccanica 41 (2006) 509-518
3. Nield D.A., and Bejan A. Convection in porous media (1992), Springer, New York
4. Ingham D.B., and Pop I. Transfer phenomena in porous media (1998), Pergamon, Oxford
5. Vajravelu K., and Rollins D. Hydromagnetic flow of a second grade fluid over a stretching sheet. Appl Math Comput 148 (2004) 783-791
6. Vajravelu K., and Nayfeh J. Convective heat transfer at a stretching sheet. Acta Mech 96 (1993) 47-54
7. Ali M.E. The effect of lateral mass flux on the natural convection boundary layers induced by a heated vertical plate embedded in a saturated porous medium with internal heat generation. Int J Thermal Sci 46 (2007) 157-163
8. Andersson H.I. MHD flow of a viscoelastic fluid past a stretching surface. Acta Mech 95 (1992) 227-230
9. Char M.I. Heat and mass transfer in a hydromagnetic flow of viscoelastic fluid over a stretching sheet. J Math Anal Appl 186 (1994) 674-689
10. Lawrence P.S., and Rao B.N. The non-uniqueness of the MHD flow of a viscoelastic fluid over a stretching sheet. Acta Mech 112 (1995) 223-228
11. Pavlor K.B. Magnetohydrodynamic flow of an incompressible viscous fluid caused by the deformation of a plane surface. Magn Gidrodin 4 (1974) 146-147
12. Vajravelu K., and Rollins D. Heat transfer in electrically conducting fluid over a stretching sheet. Int J Nonlinear Mech 27 2 (1992) 265-277
13. Abel M.S., Sanjayanand E., and Nandeppanavar M.M. Viscoelastic MHD flow and heat transfer over a stretching sheet with viscous and Ohmic dissipation. Commun Nonlinear Sci Numer Simul 13 (2008) 1808-1821
14. Seddeek M.A. Effect of non-Darcian on forced convection heat transfer over a flat plate in a porous medium with temperature dependent viscosity. Int Commun Heat Mass Transfer 32 (2005) 258-265
15. Salem A.M. Variable viscosity and thermal conductivity effects on MHD flow and heat transfer in viscoelastic fluid over a stretching sheet. Phys Lett A 369 (2007) 315-322
16. Singh P., and Tewani K. Non-Darcy free convection from vertical surfaces in thermally stratified porous medium. Int J Eng Sci 31 (1993) 1233-1242
17. Ergun S. Fluid flow through packed columns. Chem Eng Prog 48 (1952) 89-94
18. Tien C.L., and Hunt M.L. Boundary-layer flow and heat transfer in porous beds. Chem Eng Prog 21 (1987) 53-63
19. Abo-Eldahab E.M., and El-Aziz M.A. 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 (2004) 709-719
20. Abel M.S., Siddheshwar P.G., and Nandeppanawar M.M. Heat transfer in a viscoelastic boundary layer flow over a stretching sheet with viscous dissipation and non-uniform heat source. Int J Heat Mass Transfer 50 (2007) 960-966
21. Abel M.S., and Mahesha N. Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation. Appl Math Model 32 (2008) 1965-1983
22. Das U.N., Deka R., and Soundalgekar V.M. Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. Forsch Ingenieurwes 60 (1994) 284-287
23. Ali M.E. The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface. Int J Thermal Sci 45 (2006) 60-69
24. Lai E.C., and Kulacki F.A. Effects of variable viscosity on connective heat transfer along a vertical surface in a saturated porous medium. Int J Heat Mass Transfer 33 (1990) 1028-1031
25. Pantokratoras A. Laminar free-convection over a vertical isothermal plate with uniform blowing or suction in water with variable physical properties. Int J Heat Mass Transfer 45 (2002) 963977
26. Pantokratoras A. Further results on the variable viscosity on flow and heat transfer to a continuous moving flat plate. Int J Eng Sci 42 (2004) 18911896
27. Kafoussias N.G., and Williams E.W. Effects of temperature-dependent viscosity on free-forced convective laminar boundary layer flow past a vertical isothermal flat plate. Acta Mech 110 (1995) 123137
28. Pantokratoras A. The Falkner-Skan with constant wall temperature and variable viscosity. Int J Thermal Sciences 45 (2006) 378-389
29. Na T.Y. Computational method in engineering boundary value problems (1979), Academic Press, New York
30. Dandapat B.S., and Mukhopadhyay A. Finite amplitude long wave instability of a film of conducting fluid flowing down an inclined plane in presence of electromagnetic field. Int J Appl Mech Eng 8 (2003) 379-393
31. Chen C.H. Laminar mixed convection adjacent to vertical continuously stretching sheets. Heat Mass Transfer 33 (1998) 471-476
32. Grubka L.G., and Bobba K.M. Heat transfer characteristics of a continuous stretching surface with variable temperature. ASME J Heat Transfer 107 (1985) 248-250
33. Ishak A, Nazar R, Pop I. Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet. Heat Mass Transfer 2007. doi:10.1007/s00231-007-0322.