Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate

Journal of Non-Newtonian Fluid Mechanics

Volumn 129, Issue 1, 2005, Pages 46-55

  Xu, Hang ^a   Liao, Shi Jun ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

MHD; Non Newtonian fluid; Power law index; Series solution; Unsteady

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; MAGNETOHYDRODYNAMICS; MATHEMATICAL TRANSFORMATIONS; NEWTONIAN LIQUIDS; UNSTEADY FLOW; VISCOUS FLOW;

MAGNETOHYDRODYNAMIC FLOW; NON-NEWTONIAN FLUID; POWER LAW INDEX; SERIES SOLUTION;

NEWTONIAN FLOW;

MAGNETORHEOLOGICAL FLUID; NON-NEWTONIAN FLOW; NON-NEWTONIAN FLUID; UNSTEADY FLOW;

EID: 25844507243     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2005.05.005     Document Type: Article

References (41)

1. B.C. Sakiadis Boundary-layer behavior on continuous solid surface. I. Boundary-layer equations for two-dimensional and axisymmetric flow AIChE J. 7 1961 26-28
2. F.K. Tsou E.M. Sparrow R.J. Glodstein Flow and heat transfer in the boundary layer on a continuous moving surface Int. J. Heat Mass Transf. 10 1967 219-235
3. L.E. Erickson L.T. Fan V.G. Fox Heat and mass transfer on a moving continuous flat plate with suction or injection Ind. Eng. Chem. 5 1966 19-25
4. T.S. Chen F.A. Strobel Buoyancy effects in boundary layer adjacent to a continuous, moving horizontal flat plate J. Heat Trans-T ASME 102 1980 170-172
5. A.M. Jacobi A scale analysis approach to rhe correlation of continuous moving sheet (backward boundary layer) forced convective heat transfer J. Heat Trans-T ASME 115 1993 1058-1061
6. L.J. Crane Flow past a stretching plane Z. Angew. Math. Phys. 21 1970 645-647
7. C.K. Chen M. Char Heat transfer of a continuous stretching surface with suction or blowing J. Math. Anal. Appl. 135 1988 568-580
8. P.S. Gupta A.S. Gupta Heat and mass transfer on a stretching sheet with suction or blowing Can. J. Chem. Eng. 55 1977 744-746
9. K.R. Rajagopal A non-similar boundary layer on a stretching sheet in a non-Newtonian fluid with uniform free stream J. Math. Phys. Sci. 21 1987 189-200
10. W.C. Troy E.A. Overman G.B. Ermentrout J.P. Keener Uniqueness of flow of a second-order fluid past a stretching surface Q. Appl. Math. 44 1987 753-755
11. A. Chakrabarti A.S. Gupta Hydromagnetic flow and heat transfer over a stretching sheet Q. Appl. Math. 37 1979 73-78
12. K. Vajravelu A. Hadjinicolaou Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream Int. J. Eng. Sci. 35 1997 1237-1244
13. A.J. Chamkha Hydromagnetic three-dimensional free convection on a vertical stretching surface with heat generation or absorption Int. J. Heat Fluid Flow 20 1999 84-92
14. H.S. Takhar A.A. Raptis A.A. Perdikis MHD asymmetric flow past a semi-infinite moving plate Acta Meth. 65 1987 287-290
15. K. Vajravelu Hydromagnetic flow and heat transfer over a continuous, moving, porous, flat surface Acta Meth. 64 1986 179-185
16. H.I. Andersson MHD flow of a viscous fluid past a stretching surface Acta Meth. 95 1992 227-230
17. H.I. Andersson A exact solution of the Navier-Stokes equations for magnetohydrodynamics flow Acta Meth. 113 1995 241-244
18. H. Xu, An explicit analytic solution for convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream, Int. J. Eng. Sci., in press
19. T. Sarpkaya Flow of non-Newtonian fluids in a magnetic filed AIChE J. 7 1961 324-328
20. D.S. Djukic On the use of Crocco's equation for flow of power-law fluids in a transverse magnetic field AIChE J. 19 1973 1159-1163
21. D.S. Djukic Hiemenz magnetic flow of power-law fluids J. Appl. Mech-T ASME 41 1974 822-823
22. H.I. Andersson K.H. Bech B.S. Dandapat Magnetohydrodynamic flow of a power-law fluid over a stretching sheet Int. J. Non-linear Mech. 27 1992 929-936
23. S.J. Liao On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet J. Fluid Mech. 488 2003 189-212
24. S.J. Liao, An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate, Commun. Nonlinear Sci. Num. Simulat., in press.
25. W.T. Cheng C.N. Huang Unsteady flow and heat transfer on an accelerating surface with blowing or suction in the absence and presence of a heat source or sink Chem. Eng. Sci. 59 2004 771-780
26. P.J. Hilton An Introduction to Homotopy Theory 1953 Cambridge University Press
27. S. Sen Topology and Geometry for Physicists 1983 Academic Press Florida
28. E.I. Grigolyuk V.I. Shalashilin Problems of Nonlinear Deformation: The Continuation Method Applied to Nonlinear Problems in Solid Mechanics 1991 Kluwer Academic Publishers Dordrecht
29. J.C. Alexander J.A. Yorke The homotopy continuation method: Numerically implementable topological procedures Trans. Am. Math. Soc. 242 1978 271-284
30. S.J. Liao Beyond Perturbation: Introduction to Homotopy Analysis Method 2003 Chapman & Hall/CRC Press Boca Raton
31. A.H. Nayfeh Perturbation Methods 2000 John Wiley & Sons New York
32. A.M. Lyapunov General Problem on Stability of Motion 1992 Taylor & Francis London (English translation)
33. A.V. Karmishin A.T. Zhukov V.G. Kolosov Methods of Dynamics Calculation and Testing for Thin-walled Structures 1990 Mashinostroyenie Moscow (in Russian)
34. G. Adomian Nonlinear Stochastic Differential Equations J. Math. Anal. Appl. 55 1975 441-452
35. S.J. Liao A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate J. Fluid Mech. 385 1999 101-128
36. S.J. Liao An explicit, totally analytic approximate solution for Blasius' viscous flow problems Int. J. Non-linear Mech. 34 1999 759-778
37. S.J. Liao An analytic approximation of the drag coefficient for the viscous flow past a sphere Int. J. Non-linear Mech. 37 2002 1-18
38. S.J. Liao A. Campo Analytic solutions of the temperature distribution in Blasius viscous flow problems J. Fluid Mech. 453 2002 411-425
39. S.J. Liao K.F. Cheung Homotopy analysis of nonlinear progressive waves in deep water J. Eng. Math. 45 2003 105-116
40. H. Xu An expilcit analytic solution for free convection about a vertical flat plate embedded in a porous medium by means of homotopy analysis method Appl. Math. Comp. 158 2004 433-443
41. N. Nazar N. Amin I. Pop Unsteady boudary layer flow due to stretching surface in a rotating fluid Mech. Res. Commun. 31 2004 121-128