Solution of the MHD Falkner-Skan flow by homotopy analysis method

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 9-10, 2009, Pages 3591-3598

  Abbasbandy, S ^a   Hayat, T ^b  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Boundary layer flow; Crocco's transformation; Homotopy analysis method (HAM); Magnetohydrodynamics (MHD) flow

Indexed keywords

BOUNDARY LAYER FLOW; FRICTION; MAGNETOHYDRODYNAMICS;

ANALYSIS METHOD; BOUNDARY-LAYER FLOWS; CROCCO TRANSFORMATION; FALKNER-SKAN EQUATIONS; FALKNER-SKAN FLOW; FLOW BYES; HOMOTOPY ANALYSE METHOD; HOMOTOPY ANALYSIS; MAGNETOHYDRODYNAMICS FLOWS; SERIES SOLUTIONS;

BOUNDARY LAYERS;

EID: 63449089713     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.01.030     Document Type: Article

References (22)

1. Schlichting H. Boundary layer theory. 6th ed. (1979), McGraw-Hill, New York
2. Alizadeh E., Farhadi M., Sedighi K., Kebria H.R.E., and Ghafourian A. Solution of the Falkner-Skan equation for wedge by Adomian decomposition method. Commun Nonlinear Sci Numer Simulat 14 (2009) 724733
3. Sutton G.W., and Sherman A. Engineering magnetohydrodynamics (1965), McGraw-Hill, New York
4. Liao S.J., and Campo A. Analytic solutions of the temperature distribution in Blasius viscous flow problems. J Fluid Mech 453 (2002) 411-425
5. Liao S.J. Beyond perturbation: introduction to the homotopy analysis method (2003), Chapman & Hall/CRC Press, London/Boca Raton (FL)
6. Liao S.J., and Tan Y. A general approach to obtain series solutions of nonlinear differential equations. Stud Appl Math 119 (2007) 254-297
7. Liao S.J. Notes on the homotopy analysis method: some definitions and theorems. Commun Nonlinear Sci Numer Simulat 14 (2009) 983-997
8. Abbasbandy S., and Samadian Zakaria F. Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Nonlinear Dynam 51 (2008) 83-87
9. Abbasbandy S. Homotopy analysis method for generalized Benjamin-Bona-Mahony equation. Z Angew Math Phys (ZAMP) 59 (2008) 51-62
10. Abbasbandy S., and Parkes E.J. Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method. Chaos, Solitons & Fractals 36 (2008) 581-591
11. Hayat T., Javed T., and Sajid M. Analytic solution for rotating flow and heat transfer analysis of a third-grade fluid. Acta Mech 191 (2007) 219-229
12. Hayat T., Khan M., Sajid M., and Asghar S. Rotating flow of a third grade fluid in a porous space with Hall current. Nonlinear Dynam 49 (2007) 83-91
13. Hayat T., and Sajid M. On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder. Phys Lett A 361 (2007) 316-322
14. Hayat T., and Sajid M. Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet. Int J Heat Mass Transfer 50 (2007) 75-84
15. Hayat T., Abbas Z., Sajid M., and Asghar S. The influence of thermal radiation on MHD flow of a second grade fluid. Int J Heat Mass Transfer 50 (2007) 931-941
16. Hayat T., and Sajid M. Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid. Int J Eng Sci 45 (2007) 393-401
17. Xu H., and Liao S.J. Dual solutions of boundary layer flow over an upstream moving plate. Commun Nonlinear Sci Numer Simulat 13 (2008) 350-358
18. Asaithambi N.S. A numerical method for the solution of the Falkner-Skan equation. Appl Math Comput 81 (1997) 259-264
19. Na T.Y. Computational methods in engineering boundary value problems (1979), Academic Press, New York
20. Asaithambi A. A second-order finite-difference method for the Falkner-Skan equation. Appl Math Comput 156 (2004) 779-786
21. Asaithambi A. Solution of the Falkner-Skan equation by recursive evaluation of Taylor coefficients. J Comput Appl Math 176 (2005) 203-214
22. Chiam T.C. Hydromagnetic flow over a surface stretching with a power-law velocity. Int J Eng Sci 33 (1995) 429-435