MHD power-law fluid flow and heat transfer over a non-isothermal stretching sheet

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 5, 2009, Pages 2178-2189

  Prasad, K V ^a   Pal, Dulal ^b   Datti, P S ^c  

^a BANGALORE UNIVERSITY   (India)

^b VISVA BHARATI UNIVERSITY   (India)

^c INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Boundary layer; Heat transfer; Magnetohydrodynamics; Power law fluid; Stretching sheet; Thermal conductivity

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; BOUNDARY VALUE PROBLEMS; ISOTHERMS; MAGNETOHYDRODYNAMICS; NON NEWTONIAN FLOW; ORDINARY DIFFERENTIAL EQUATIONS; THERMAL CONDUCTIVITY;

EQUATION OF ENERGY; FLUID FLOW AND HEAT TRANSFERS; FLUID-FLOW; HEAT GENERATION/ABSORPTION; INTERNAL HEAT GENERATION; NON-NEWTONIAN POWER-LAW FLUIDS; NONISOTHERMAL; NUMERICAL SOLUTION; POWER LAW FLUID; STRETCHING SHEET;

HEAT TRANSFER;

EID: 56049120554     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.06.021     Document Type: Article

References (33)

1. Crane L.J. Flow past a stretching plate. Z Angew 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. Chen 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
4. Datta B.K., Roy P., and Gupta A.S. Temperature field in the flow over a stretching sheet with uniform heat flux. Int Comm Heat Mass Transfer 12 (1985) 89-94
5. McLeod B., and Rajagopal K.R. On the non-uniqueness of the flow of a Navier-Stokes fluid due to stretching boundary. Arch Ration Mech Anal 98 (1987) 385-493
6. Chiam T.C. Heat transfer with variable thermal conductivity in a stagnation point towards a stretching sheet. Int Comm Heat Mass Transfer 23 2 (1996) 239-248
7. Chiam T.C. Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet. Acta Mech 129 (1998) 63-72
8. Rajagopal K.R., Na T.Y., and Gupta A.S. Flow of a visco-elastic fluid over a stretching sheet. Rheol Acta 23 (1984) 213-215
9. Siddappa B., and Abel M.S. Non-Newtonian flow past a stretching plate. Z Angew Math Phys 36 (1985) 47-54
10. Troy W.C., OvermannII E.A., Eremont-Rout G.B., and Keener J.P. Uniqueness of the flow of second order fluid flow past a stretching sheet. Quart Appl Math 44 (1987) 753-755
11. Wen-Dong C. The non-Uniqueness of the flow of a visco-elastic fluid over a stretching sheet. Quart Appl Math 47 (1989) 365-366
12. Sam Lawrence P., and Nageswara Rao B. The non-uniqueness of the MHD flow of a visco-elastic fluid past a stretching sheet. Acta Mech 112 (1995) 223-225
13. Abel M.S., and Veena P.H. Visco-elastic fluid flow and heat transfer in a porous medium over a stretching sheet. Int J non-Linear Mech 33 (1998) 531-538
14. Bujurke N.M., Biradar S.N., and Hiremath P.S. Second order fluid flow past a stretching sheet with heat transfer. Z Angew Math Phys (ZAMP) 38 (1987) 653-657
15. Prasad K.V., Subhas A., and Khan S.K. Momentum and heat transfer in a visco-elastic fluid flow in a porous medium over a non-isothermal stretching sheet. Int J Numer Meth Heat Fluid Flow 10 8 (2000) 786-801
16. Prasad K.V., Subhas Abel M., 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 5 (2003) 651-657
17. Sarpakaya T. Flow on non-Newtonian fluids in a magnetic field. Amm Inst Chem Ing J 7 (1961) 26-28
18. Pavlov K.B. Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magninaya Gidrodinamika (USSR) 4 (1974) 146-147
19. Chakrabarti A., and Gupta A.S. Hydromagnetic flow and heat transfer over a stretching sheet. Quart Appl Math 37 (1979) 73-78
20. Char M.I. Heat and mass transfer in a hydromagnetic flow of a visco-elastic fluid over a stretching sheet. J Math Anal Appl 186 (1994) 674-689
21. Andersson H.I. MHD flow of a visco-elastic fluid past a stretching surface. Acta Mech 95 (1992) 227-230
22. Datti P.S., Prasad K.V., Subhas Abel M., and Ambuja J. MHD fluid flow over a non-isothermal stretching sheet. Int J Eng Sci 42 (2004) 935-946
23. Vujannovic B., Status A.M., and Djukiv D.J. A variational solution of the Rayleigh problem for power law non-Newtonian conducting fluid. Ing-Arch 41 (1972) 381-386
24. 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 6 (1992) 929-936
25. Jadhav J.P., and Waghmode B.B. Heat transfer to non-Newtonian power law fluid past a continuously moving porous flat plate with heat flux. Warme und Stoffubertragung 25 (1990) 377-380
26. Savvas T.A., Markatos N.C., and Papaspyrides C.D. On the flow of non-Newtonian polymer solutions. Appl Math Model 18 (1994) 14-22
27. Cebeci T., and Bradshaw P. Physical and computational aspects of convective heat transfer (1984), Springer-Verlag, New York
28. Keller H.B. Numerical methods for two-point boundary value problems (1992), Dover Publ., New York
29. Chiam T.C. Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet. Acta Mech 122 (1997) 169-179
30. Denier J.P., and Dabrowski P.P. On the boundary layer equation for power law fluid. Proc R Soc London Ser A 460 (2004) 3143-3158
31. Andersson H.I., and Dandapat B.S. Flows of a power law fluid over a stretching sheet. Stability Appl Anal Continuous Media 1 (1991) 339-347
32. Press W.H., Teukolsky S.A., Vellering W.T., and Flannery B.P. Numerical recipies in Fortran (1993), Cambridge University Press
33. Conte S.D., and de Boor C. Elementary numerical analysis (1972), McGraw-Hill