Time-dependent three-dimensional flow and mass transfer of elastico-viscous fluid over unsteady stretching sheet

Applied Mathematics and Mechanics (English Edition)

Volumn 32, Issue 2, 2011, Pages 167-178

  Hayat, T ^a,b   Mustafa, M ^a,b   Hendi, A A ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

homptopy analysis method solution; mass transfer; unsteady flow; viscoelastic fluid

Indexed keywords

ANALYSIS METHOD; ELASTICO-VISCOUS; EMBEDDING PARAMETERS; HIGHER ORDER; HOMPTOPY ANALYSIS METHOD SOLUTION; NUMERICAL COMPUTATIONS; NUMERICAL SOLUTION; SERIES SOLUTIONS; STRETCHING SHEET; STRETCHING SURFACE; THREE-DIMENSIONAL BOUNDARY LAYERS; THREE-DIMENSIONAL FLOW; TIME-DEPENDENT; UNSTEADY STRETCHING SHEET; VISCO-ELASTIC FLUID;

AERODYNAMICS; FLUIDS; STEADY FLOW; THREE DIMENSIONAL; UNSTEADY FLOW;

MASS TRANSFER;

EID: 79551661585     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-011-1403-7     Document Type: Article

References (34)

1. C. Fetecau C. Fetecau 2005 Starting solutions for some unsteady unidirectional flows of a second grade fluid International Journal of Engineering Science 43 10 781 789 10.1016/j.ijengsci.2004.12.009 2158463 (Pubitemid 41042464)
2. C. Fetecau M. Athar C. Fetecau 2008 Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate Computers and Mathematics with Applications 57 4 596 603 10.1016/j.camwa.2008. 09.052 2489081
3. C. Fetecau C. Fetecau 2006 Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder International Journal of Engineering Science 44 11-12 788 796 10.1016/j.ijengsci.2006.04.010 2256134
4. W. C. Tan P. W. Xiao X. M. Yu 2003 A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model International Journal of Nonlinear Mechanics 38 5 645 650 05138171 10.1016/S0020-7462(01)00121-4 (Pubitemid 35251643)
5. T. Hayat N. Ahmad N. Ali 2008 Effects of endoscope and magnetic field on the peristalsis involving Jeffrey fluid Communications in Nonlinear Science and Numerical Simulation 13 8 1581 1591 10.1016/j.cnsns.2007.02.008 2398691 (Pubitemid 351250730)
6. T. Hayat M. Mustafa S. Asghar 2010 Unsteady flow with heat and mass transfer of a third grade fluid over a stretching surface in presence of chemical reaction Nonlinear Analysis: Real World Applications 11 4 3186 3197 1196.35163 10.1016/j.nonrwa.2009.11.012 2661979
7. T. Hayat M. Mustafa I. Pop 2010 Heat and mass transfer for Soret and Dufour's effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid Communications in Nonlinear Science and Numerical Simulation 15 5 1183 1196 10.1016/j.cnsns.2009.05.062 2563919
8. C. D. S. Devi H. S. Takhar G. Nath 1991 Unsteady mixed convection flow in a stagnation region to adjacent to a vertical surface Heat and Mass Transfer 26 2 71 79
9. H. I. Andersson J. B. Aarseth B. S. Dandapat 2003 Heat transfer in a liquid film on an unsteady stretching surface International Journal of Heat and Mass Transfer 43 1 69 74 10.1016/S0017-9310(99)00123-4
10. R. Nazar N. Amin I. Pop 2004 Unsteady boundary layer due to a stretching surface in a rotating fluid Mechanics Research Communications 31 1 121 128 1053.76017 10.1016/j.mechrescom.2003.09.004
11. E. M. A. Elbashbeshy M. A. A. Bazid 2004 Heat transfer over an unsteady stretching surface Heat and Mass Transfer 41 1 1 4 10.1007/s00231-004-0520-x
12. D. W. Beard K. Walters 1964 Elastico-viscous boundary layer flows I: two-dimensional flow near a stagnation point Proceedings of the Cambridge Philosophical Society 60 3 667 674 0123.41601 10.1017/S0305004100038147 171475
13. P. D. Ariel 2008 Two dimensional stagnation point flow of an elastico-viscous fluid with partial slip Zeitschrift für Angewandte Mathematik und Mechanik 88 4 320 324 1135.76004 10.1002/zamm.200700041 2389096
14. T. Hayat Z. Abbas I. Pop 2010 Momentum and heat transfer over a continuously moving surface with a parallel free stream in a viscoelastic fluid Numerical Methods for Partial Differential Equations 26 2 305 319 05679164 2605464
15. R. Cortell 2007 MHD flow and mass transfer of an electrically fluid of second grade in a porous medium over a stretching sheet with chemically reactive species Chemical Engineering Processing 46 8 721 728 10.1016/j.cep.2006.09.008 (Pubitemid 46670532)
16. R. Cortell 2007 Towards an understanding of the motion and mass transfer with chemically reactive species for two classes of viscoelastic fluid over a porous stretching sheet Chemical Engineering Processing 46 10 982 989 10.1016/j.cep.2007.05.022 (Pubitemid 47361450)
17. R. Nazar N. A. Latip 2009 Numerical investigation of three-dimensional boundary layer flow due to a stretching surface in a viscoelastic fluid European Journal of Scientific Research 29 4 509 517
18. S. Mukhopadhyay 2009 Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in a porous medium International Journal of Heat and Mass Transfer 52 13-14 3261 3265 1167.80352 10.1016/j.ijheatmasstransfer.2008.12.029
19. S. J. Liao 2009 A general approach to get series solution of nonsimilarity boundary layer flows Communications in Nonlinear Science and Numerical Simulation 14 5 2144 2159 10.1016/j.cnsns.2008.06.013 2474470
20. H. Xu S. J. Liao X. C. You 2009 Analysis of nonlinear fractional partial differential equations with homotopy analysis method Communications in Nonlinear Science and Numerical Simulation 14 4 1152 1156 10.1016/j.cnsns.2008.04.008 2468947
21. H. Xu S. J. Liao 2008 Dual solutions of boundary layer flow over an upstream moving plate Communications in Nonlinear Science and Numerical Simulation 13 2 350 358 1131.35066 10.1016/j.cnsns.2006.04.008 2360696 (Pubitemid 47289297)
22. S. J. Liao 2009 Notes on the homotopy analysis method: some definitions and theorems Communications in Nonlinear Science and Numerical Simulation 14 4 983 997 10.1016/j.cnsns.2008.04.013 2468931
23. Y. Tan S. Abbasbandy 2008 Homotopy analysis method for quadratic Recati differential equation Communications in Nonlinear Science and Numerical Simulation 13 3 539 546 1132.34305 10.1016/j.cnsns.2006.06.006 (Pubitemid 47497345)
24. S. Abbasbandy 2008 The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation Physics Letters A 372 6 613 618 2378731
25. S. Abbasbandy F. S. Zakaria 2008 Soliton solution for the fifth-order KdV equation with homotopy analysis method Nonlinear Dynamics 51 1-2 83 87 1170.76317 2362371 (Pubitemid 47632348)
26. S. Kechil I. Hashim 2009 Approximate analytical solution for MHD stagnation-point flow in porous media Communications in Nonlinear Science and Numerical Simulation 14 4 1346 1354 10.1016/j.cnsns.2008.02.007 2559202
27. I. Hashim O. Abdulaziz S. Momani 2009 Homotopy analysis method for fractional IVPs Communications in Nonlinear Science and Numerical Simulation 14 3 674 684 10.1016/j.cnsns.2007.09.014 2449879
28. T. Hayat K. Maqbool S. Asghar 2009 Hall and heat transfer effects on the steady flow of a Sisko fluid Zeitschrift Für Naturforschung A 64a 1 769 782
29. T. Hayat K. Maqbool S. Asghar 2010 The influence of Hall current and heat transfer on the flow of a fourth grade fluid Numerical Methods for Partial Differential Equations 26 3 501 518 05709797 2656297
30. T. Hayat M. Qasim Z. Abbas 2010 Radiation and mass transfer effects on the magnetohydrodynamic unsteady flow induced by a stretching sheet Zeitschrift für Naturforschung A 65a 1 231 239
31. T. Hayat M. Qasim Z. Abbas 2010 Homotopy solution for the unsteady three-dimensional MHD flow and mass transfer in a porous space Communications in Nonlinear Science and Numerical Simulation 15 9 2375 2387 10.1016/j.cnsns.2009. 09.013 2602722
32. Hayat, T. and Nawaz, M. Hall and ion-slip effects on three-dimensional flow of a second grade fluid. International Journal for Numerical Methods in Fluids DOI: 10.1002/fld.2251
33. T. Hayat R. Sajjad S. Asghar 2010 Series solution for MHD channel flow of a Jeffery fluid Communications in Nonlinear Science and Numerical Simulation 15 9 2400 2406 10.1016/j.cnsns.2009.09.033 2602724
34. Hayat, T., Qasim, M., and Mesloub, S. MHD flow and heat transfer over permeable stretching sheet with slip conditions. International Journal for Numerical Methods in Fluids DOI: 10.1002/fld.2294