Multiple solutions of heat and mass transfer of MHD slip flow for the viscoelastic fluid over a stretching sheet

International Journal of Thermal Sciences

Volumn 50, Issue 11, 2011, Pages 2264-2276

  Turkyilmazoglu, M ^a  

^a HACETTEPE UNIVERSITY   (Turkey)

Author keywords

Heat source sink; Heat transfer; Magnetohydrodynamics; Mass transfer; Multiple solution; Non Newtonian fluids; Slip flow; Stretching surface; Thermal radiation; Viscoelasticity

Indexed keywords

HEAT SOURCES; MULTIPLE SOLUTIONS; NON-NEWTONIAN FLUIDS; SLIP FLOW; STRETCHING SURFACE; THERMAL RADIATIONS;

ELASTICITY; FLUIDS; FRICTION; HEAT FLUX; HEAT RADIATION; MASS TRANSFER; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; STEADY FLOW; VISCOELASTICITY; VISCOSITY;

MAGNETOHYDRODYNAMICS;

EID: 80051902481     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2011.05.014     Document Type: Article

References (31)

1. K.R. Rajagopal, T.Y. Na, and A.S. Gupta Flow of viscoelastic fluid over a stretching sheet Rheol. Acta 23 1984 213 215
2. W.C. Troy, E.A. Overman, H.G.B. Ermentrout, and J.P. Keener Uniqueness of flow of a second order fluid past a stretching sheet Quart. Appl. Math. 44 1987 753 755
3. W.D. Chang The non-uniqueness of the flow of a viscoelastic fluid over a stretching sheet Quart. Appl. Math. 47 1989 365 366
4. B.N. Rao Flow of a fluid of second grade over a stretching sheet Int. J. Non-Linear Mech. 31 1996 547 550
5. H.R. Nataraja, M.S. Sarma, and B.N. Rao Flow of a second-order fluid over a stretching surface having power-law temperature Acta Mech. 128 1998 259 262 (Pubitemid 128550378)
6. K. Vajravelu, and T. Roper Flow and heat transfer in a second grade fluid over a stretching sheet Int. J. Non-Linear Mech. 34 1999 1031 1036 (Pubitemid 129540904)
7. M. Khan, and E. Sanjayan Viscoelastic boundary layer flow and heat transfer over an exponential stretching sheet Int. J. Heat Mass Transf. 48 2005 1534 1542
8. F.T. Akyildiz, and K. Vajravelu Magnetohydrodynamic flow of a viscoelastic fluid Phys. Lett. A 372 2008 3380 3384
9. M. Mushtaq, S. Asghar, and M.A. Hossain Mixed convection flow of second grade fluid along a vertical stretching flat surface with variable surface temperature Heat Mass Transf. 43 2007 1049 1061 (Pubitemid 47139065)
10. J.C. Arnold, A.A. Asir, S. Somasundaram, and T. Christopher Heat transfer in a viscoelastic boundary layer flow over a stretching sheet Int. J. Heat Mass Transf. 53 2010 1112 1118
11. C.-H. Chen Combined effects of joule heating and viscous dissipation on magnetohydrodynamic flow past a permeable, stretching surface with free convection and radiative heat transfer J. Heat Transfer 132 2010 064503
12. P.S. Datti, K.V. Pradas, M.S. Abel, and A. Joshi MHD visco-elastic fluid flow over a non-isothermal stretching sheet Int. J. Eng. Sci. 42 1994 935 946
13. I.-C. Liu Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to a transverse magnetic field Int. J. Heat Mass Transf. 47 2004 4427 4437 (Pubitemid 38958478)
14. P.G. Siddheshwar, and U.S. Mahabaleswar Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet Int. J. Non-Linear Mech. 40 2005 807 820 (Pubitemid 40391392)
15. Z. Abbas, Y. Wang, T. Hayat, and M. Oberlack Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface Int. J. Non-Linear Mech. 43 2008 783 793
16. A.K. Singh Heat source and radiation effects on magneto-convection flow of a viscoelastic fluid past a stretching sheet: analysis with Kummers functions Int. Commun. Heat Mass Transfer 35 2008 637 642
17. K.-L. Hsiao Viscoelastic fluid over a stretching sheet with electromagnetic effects and nonuniform heat source/sink Math. Probl. Eng. 2010 2010 1 14
18. G.M. Hak The fluid mechanics of microdevices the freeman scholar lecture J. Fluids Eng. Trans. ASME 121 1999 5 33
19. A. Yoshimura, and R.K. Prudhomme Wall slip corrections for couette and parallel disc viscometers J. Rheol. 32 1988 53 67 (Pubitemid 20649288)
20. C.Y. Wang Flow due to a stretching boundary with partial slip-an exact solution of the Navier-Stokes equations Chem. Eng. Sci. 57 2002 3745 3747 (Pubitemid 35212401)
21. C.Y. Wang Analysis of viscous flow due to a stretching sheet with surface slip and suction Nonlinear Anal. Real World Appl. 10 2009 375 380
22. M.A. Seddeek, and M.S. Abdelmeguid Effects of radiation and thermal diffusivity on the heat transfer over a stretching with variable heat flux Phys. Lett. A 348 2006 172 179 (Pubitemid 41803007)
23. R.C. Bataller 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 Transf. 50 2007 3152 3162 (Pubitemid 46653893)
24. J.B. Mcleod, and K.R. Rajagopal On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary Arch. Ration. Mech. Anal. 98 1987 385 395
25. L. Crane Flow past a stretching plate Z. Angew. Math. Phys. 21 1970 645 647
26. R. Seshadri, N. Sreeshylan, and G. Nath Viscoelastic fluid flow over a continuous stretching surface with mass transfer Mech. Res. Commun. 22 1995 627 633
27. P.S. Lawrence, and B.N. Rao The non-uniqueness of the MHD flow of a viscoelastic fluid past a stretching sheet Acta Mech. 112 1995 223 228
28. A. Pop, and T.Y. Na A note on MHD flow over a stretching permeable surface Mech. Res. Commun. 25 1998 263 269
29. H.I. Andersson MHD flow of a viscoelastic fluid past a stretching surface Acta Mech. 95 1992 227 230 (Pubitemid 23559812)
30. H.I. Andersson Slip flow past a stretching surface Acta Mech. 158 2002 121 125 (Pubitemid 35297922)
31. I.-C. Liu Flow and heat transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet subject to a transverse magnetic field Int. J. Non-Linear Mech. 40 2005 465 474