MHD mixed convection for viscoelastic fluid past a porous wedge

International Journal of Non-Linear Mechanics

Volumn 46, Issue 1, 2011, Pages 1-8

  Hsiao, Kai Long ^a  

^a DIWAN COLLEGE OF MANAGEMENT   (Taiwan)

Author keywords

FalknerSkan flow; Heat transfer; MHD; Mixed convection; Porous suction and injection; Second grade fluid; Wedge

Indexed keywords

FALKNER-SKAN FLOW; MHD; POROUS SUCTION AND INJECTION; SECOND-GRADE FLUID; WEDGE;

FLUIDS; MIXED CONVECTION; STEADY FLOW;

HEAT TRANSFER;

EID: 78649630713     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2010.06.005     Document Type: Article

References (48)

1. J.P. Hartnett Viscoelastic fluids: a new challenge in heat transfer Trans. ASME 1992 296 303
2. A.C. Srivatsava The flow of a non-Newtonian liquid near a stagnation point Z. Angew. Math. Phys. 9 1958 80 84
3. G. Rajeswari, and S.L. Rathna Flow of a particular class of non-Newtonian visco-elastic and visco-inelastic fluids near a stagnation point Z. Angew. Math. Phys. 13 1962 43 57
4. S.P. Mishra, and T.C. Panda Effect of injection on the flow of second order fluid in the inletregion of a channel Acta Mech. 32 1979 11 17
5. K.R. Rajagopal, A.S. Gupta, and T.Y. Na A note on the FalknerSkan flows of a non-Newtonian fluid Int. J. Non-linear Mech. 18 1983 313 320
6. M. Massoudi, and M. Ramezan Effect of injection or suction on the FalknerSkan flows of second grade fluids Int. J. Non-linear Mech. 24 1989 221 227
7. Hsu C.E. Maneschy, and M. Massoudi Heat transfer analysis of a non-Newtonian fluid past a porous plate Int. J. Non-linear Mech. 28 1993 131 143
8. K.R. Rajagopal, Boundary layers in non-linear fluids, Pitman Monographs and Surveys in Pure and Applied Mathematics, 1995, pp. 209218.
9. H.T. Lin, and L.K. Lin Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number Int. J. Heat Mass Transfer 30 1987 1111 1118
10. Wen-Shing Yu, and Hsiao-Tsung Lin Conjugate problems of conduction and free convection on vertical and horizontal flat-plates Int. J Heat Mass Transfer 36 5 1993 1303 1313
11. D. Mansutti, G. Pontrelli, and K.R. Rajagopal Non-similar flow of a non-Newtonian fluid past a wedge Int. J. Eng. Sci. 31 4 April 1993 637 647
12. Anuar Ishak, Roslinda Nazar, and Ioan Pop MHD boundary-layer flow of a micropolar fluid past a wedge with constant wall heat flux Commun. Nonlinear Sci. Numer. Simul. 14 1 2009 109 118
13. R. Kandasamy, I. Muhaimin, Hashim, and Ruhaila Thermophoresis and chemical reaction effects on non-Darcy mixed convective heat and mass transfer past a porous wedge with variable viscosity in the presence of suction or injection Nucl. Eng. Design 238 10 2008 2699 2705
14. M. Xenos, E. Tzirtzilakis, N. Kafoussias, Methods of optimizing separation of compressible turbulent boundary-layer over a wedge with heat and mass transfer, Int. J. Heat Mass Transfer 52 (12) (2009) 488496.
15. Param Jeet Singh, S. Roy, R. Ravindran, Unsteady mixed convection flow over a vertical wedge, Int. J. Heat Mass Transfer 52 (12) (2009) 415421.
16. V. Aliakbar, A. Alizadeh-Pahlavan, and K. Sadeghy The influence of thermal radiation on MHD flow of Maxwellian fluids above stretching sheets Commun. Nonlinear Sci. Numer. Simul. 14 3 2009 779 794
17. M. Subhas Abel, Emmanuel Sanjayanand, and Mahantesh M. Nandeppanavar Viscoelastic MHD flow and heat transfer over a stretching sheet with viscous and ohmic dissipations Commun. Nonlinear Sci. Numer. Simul. 13 9 2008 1808 1821
18. M. Subhas Abel, and N. Mahesha Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation Appl. Math. Modelling 32 10 2008 1965 1983
19. M. Subhas Abel, Mahantesh M. Nandeppanavar, Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with non-uniform heat source/sink, Commun. Nonlinear Sci. Numer. Simul. 14 (5) (2009) 21202131.
20. Ahmed M. Salem Variable viscosity and thermal conductivity effects on MHD flow and heat transfer in viscoelastic fluid over a stretching sheet Phys. Lett. A 369 4 2007 315 322
21. Rafael Cortell Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet Phys. Lett. A 357 45 2006 298 305
22. R.S. Rivlin, and J.L. Ericksen Stress deformation relation for isotropic materials J. Rat. Mech. Anal. 4 1955 323 425
23. J.E. Dunn, and K.R. Rajagopal Fluids of differential type: critical review and thermodynamic Analysis Int. J. Eng. Sci. 33 1995 689 729
24. D.D. Joseph Arch. Ration. Mech. Anal. 75 1981 251
25. D.D. Joseph Fluid Dynamics of Viscoelastic Liquids 1990 Springer Berlin
26. M. Renardy Arch. Ration. Mech. Anal. 79 1983 21
27. J.E. Dunn, and R.L. Fosdick Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade Arch. Ration. Mech. Anal. 56 1974 191 252
28. K.R. Rajagopal The flow of a second order fluid between rotating parallel plates J. Non-Newtonian Fluid Mech. Volume: 9 1981 185 190
29. R.L. Fosdick, and K.R. Rajagopal Anomalous features in the model of second order fluids Arch. Ration. Mech. Anal. 70 1979 145 152
30. C. Truesdell, and K.R. Rajagopal An Introduction to the Mechanics of Fluids 2000 Birkhuser Boston
31. K.R. Rajagopal, T.Y. Na, and A.S. Gupta Flow of a visco-elastic fluid over a fin Rheol. Acta 23 1984 213 215
32. K.R. Rajagopal, M. Ruzicka, and A.R. Srinivasa On the OberbeckBoussinesq approximation Math. Models Methods Appl. Sci. 6 1998 1157
33. D.W. Bard, and K. Walters Elastico-viscous boundary layer flows. Part I. Two-dimensional flow near a stagnation point Proc. Cambridge Philos. Soc. 60 1964 667 674
34. T. Sarpkaya, and P.G. Rainey Stagnation point flow of a second order viscoelastic fluid Acta Mech. 11 1971 237 246
35. K.R. Rajagopal On boundary conditions for fluids of the differential type A. Sequeira, Navier Stokes Equations and Related Non-Linear Problems 1995 Plenum Press New York 273 278
36. K.R. Rajagopal On the creeping flow of second order fluid J. Non-Newtonian Fluid Mech. 15 1984 239 246
37. K.R. Rajagopal, and A.S. Gupta An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate Meccanica 19 1984 158 160
38. K.R. Rajagopal, and P.N. Kaloni Some remarks on boundary conditions for fluids of the differential type G.A.C. Graham, S.K. Malik, Continuum Mechanics and its Applications 1989 Hemisphere New York 935 942
39. J.E. Dunn, and R.L. Fosdick Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade Arch. Rational Mech. Anal. 56 1974 191 252
40. T. Cebeci, and P. Bradshaw Physical and Computational Aspects of Convective Heat Transfer 1984 Springer-Verlag
41. K. Vajravelu Convection heat transfer at a stretching sheet with suction and blowing J. Math. Anal. Appl. 188 1994 1002 1011
42. K. Vajravelu. Viscous flow over a nonlinearly stretching sheet Appl. Math. Comput. 124 3 2001 281 288
43. K. Vajravelu., and D. Rollins. Hydromagnetic flow of a second grade fluid over a stretching sheet Appl. Math. Comput. 148 3 2004 783 791
44. Kai-Long Hsiao,Guan-Bang Chen, Conjugate heat transfer of mixed convection for viscoelastic fluid past a stretching sheet, Math. Probl. Eng., Volume 2007, Article ID 17058, 21pp. doi:10.1155/2007/17058. (Pubitemid 46609194)
45. Kai-Long Hsiao Conjugate heat transfer of magnetic mixed convection with radiative and viscous dissipation effects for second grade viscoelastic fluid past a stretching sheet Appl. Thermal Eng. 27 1112 2007 1895 1903
46. Kai-Long Hsiao Heat and mass transfer for electrical conducting mixed convection with radiation effect for viscoelastic fluid past a stretching sheet J. Mech. 24 2 2008 N21 N27
47. M.H.D. Kai-Long Hsiao Mixed convection of viscoelastic fluid over a stretching sheet with Ohmic dissipation J. Mech. 24 3 2008 N29 N34
48. Chapra, and Canale Numerical Methods for Engineers 2nd ed 1990 McGraw-Hill