Effect of non-uniform heat source on MHD heat transfer in a liquid film over an unsteady stretching sheet

International Journal of Non-Linear Mechanics

Volumn 44, Issue 9, 2009, Pages 990-998

  Abel, M Subhas ^a   Tawade, Jagadish ^a   Nandeppanavar, Mahantesh M ^b  

^a GULBARGA UNIVERSITY   (India)

^b Government First Grade College   (India)

Author keywords

Liquid film; Magnetic parameter; Non uniform source sink parameter; Similarity transformation; Unsteady stretching surface

Indexed keywords

FLOW AND HEAT TRANSFER; LAMINAR LIQUID FILMS; LIMITING CASE; LOCAL NUSSELT NUMBER; MAGNETIC PARAMETER; NON-UNIFORM HEAT SOURCE; NON-UNIFORM HEAT SOURCE/SINK; NON-UNIFORM SOURCE/SINK PARAMETER; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NONUNIFORM; NUMERICAL SOLUTION; SHOOTING TECHNIQUE; SIMILARITY TRANSFORMATION; SKIN FRICTION COEFFICIENT; STRETCHING SHEET; TYPICAL VALUES; UNSTEADY BOUNDARY LAYER; UNSTEADY STRETCHING SHEET; UNSTEADY STRETCHING SURFACE;

BOUNDARY LAYERS; FRICTION; HEAT EXCHANGERS; LIQUID FILMS; NUSSELT NUMBER; PAPER SHEETING;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 69449097856     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2009.07.004     Document Type: Article

References (38)

1. Crane L.J. Flow past a stretching plate. Z. Angrew. Math. Phys. 21 (1970) 645-647
2. Gupta P.S., and Gupta A.S. Heat and Mass transfer on a stretching sheet with suction or blowing. Can. J. Chem. Eng. 55 (1977) 744-746
3. Grubka L.G., and Bobba K.M. Heat transfer characteristics of a continuous stretching surface with variable temperature. J. Heat Transfer 107 (1985) 248-250
4. Dutta B.K., and Gupta A.S. Cooling of a stretching sheet in a various flow. Ind. Eng. Chem. Res. 26 (1987) 333-336
5. Jeng D.R., Chang T.C.A., and Dewitt K.J. Momentum and heat transfer on a continuous surface. ASME J. Heat Transfer 108 (1986) 532-539
6. Chan C.K., and Char M.I. Heat transfer of a continuous stretching surface with suction or blowing. J. Math. Anal. Appl. 135 (1988) 568-580
7. Laha M.K., Gupta P.S., and Gupta A.S. Heat transfer characteristics of the flow of an incompressible viscous fluid over a stretching sheet. Wärme- und Stoffübertrag. 24 (1989) 151-153
8. Chakrabarti A., and Gupta A.S. Hydromagnetic flow and heat transfer over a stretching sheet. Q. Appl. Math. 37 (1979) 73-78
9. Andersson H.I., Bech K.H., and Dandapat B.S. Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. Int. J. Non-linear Mech. 27 (1992) 929-936
10. Afzal N. Heat transfer from a stretching surface. Int. J. Heat Mass Transfer 36 (1993) 1128-1131
11. Prasad K.V., Abel S., and Datti P.S. Diffusion of chemically reactive species of a non-Newtonian fluid immersed in a porous medium over a stretching sheet. Int. J. Non-linear Mech. 38 (2003) 651-657
12. Abel M.S., Siddheshwar P.G., and Nandeppanavar 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
13. 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. Modell. 32 (2008) 1965-1983
14. Wang C.Y. The three dimensional flow due to a stretching surface. Phys. Fluids 27 (1984) 1915-1917
15. Wang C.Y. Stretching surface of a rotating fluid. J. Appl. Math. Phys. (ZAMP) 39 (1988) 177-185
16. Wang C.Y. Liquid film on an unsteady stretching surface. Q. Appl. Math. 48 (1990) 601-610
17. Robert S.M., and Shipman J.S. Two Point Boundary Value Problems: Shooting Methods (1972), Elsevier, New York
18. Wang C. Analytic solutions for a liquid film on an unsteady stretching surface. Heat Mass Transfer 42 (2006) 759-766
19. Usha R., and Sridharan R. On the motion of a liquid film on an unsteady stretching surface. ASME Fluids Eng. 150 (1993) 43-48
20. Anderson H.I., Aarseth J.B., Braud N., and Dandapat B.S. Flow of a power-law fluid film on an unsteady stretching surface. J. Non-Newtonian Fluid Mech. 62 (1996) 1-8
21. Anderson H.I., Aarseth J.B., and Dandapat B.S. Heat transfer in a liquid film on an unsteady stretching surface. Int. J. Heat Mass Transfer 43 (2000) 69-74
22. Dandapat B.S., Santra B., and Anderson H.I. Thermocapillary in a liquid film on an unsteady stretching surface. Int. J. Heat Mass Transfer 46 (2003) 3009-3015
23. Chen C.H. Heat transfer in a power-law fluid film over an unsteady stretching sheet. Heat Mass Transfer 39 (2003) 791-796
24. Dandapat B.S., Santra B., and Vajravelu K. The effects of variable fluid properties and thermocapillarity on the flow of a thin film on an unsteady stretching sheet. Int. J. Heat Mass Transfer 50 (2007) 991-996
25. Wang C.Y. Melting from a horizontal disk. Trans. ASME J. Appl. Mech. 56 (1989) 47-50
26. Dandapat B.S., and Ray P.C. Film cooling on a rotating disk. Int. J. Non-linear Mech. 25 (1990) 569-582
27. Dandapat B.S., and Ray P.C. The effect of thermocapillarity on the flow of a thin liquid film on a rotating disk. J. Phys. D Appl. Phys. 27 (1994) 2041-2045
28. Kumari M., and Nath G. The effect of thermocapillarity on the flow of a thin liquid film on a rotating disk. Int. J. Eng. Sci. 42 (2004) 1099-1117
29. Conte S.D., and Boor C. Elementary Numerical Analysis (1972), McGraw-Hill, New York
30. Cebeci T., and Bradshaw P. Physical and Computational Aspects of Convective Heat Transfer (1984), Springer, New York
31. Chen C.-H. Heat transfer in a power-law fluid film over an unsteady stretching sheet. Heat Mass Transfer 39 (2003) 791
32. Dandapat B.S., Maity S., and Kitamura A. Liquid film flow due to an unsteady stretching sheet. Int. J. Non-Linear Mech. 43 (2008) 880-886
33. Abbas Z., Hayat T., Sajid M., and Asghar S. Unsteady flow of a second grade fluid film over an unsteady stretching sheet. Math. Comp. Modell. 48 (2008) 518-526
34. Cortell R. Viscoelastic fluid flow and heat transfer over a stretching sheet under the effects of a non-uniform heat source, viscous dissipation and thermal radiation. Int. J. Heat Mass Transfer 50 (2007) 3152-3162
35. Abel M.S., Siddeshwar P.G., and Nandeppanavar M.M. Heat transfer in aviscoelastic fluid past a stretching sheet with non-uniform heat source. Int. J. Heat Mass Transfer 50 (2007) 960-966
36. Abo-Eladahab E.M., Mohamed A., and Aziz El. Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption. Int. J. Therm. Sci. 43 (2004) 709-719
37. Bird R.B., Armstrong R.C., and Hassager O. Dynamics of Polymeric Liquids vol. 1 (1987), Wiley, New York
38. F.M. White, Viscous Fluid Flow, McGraw Hill International Edition, McGraw Hill, New York, 2005.