Rayleigh problem for a MHD Sisko fluid

Nonlinear Analysis: Real World Applications

Volumn 10, Issue 6, 2009, Pages 3428-3434

  Molati, M ^a   Hayat, T ^b   Mahomed, F ^a  

^a UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^b QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Analytic solution; Rayleigh problem; Sisko fluid; Time dependent magnetic field; Unsteady flow

Indexed keywords

ANALYTIC SOLUTION; INITIAL CONDITIONS; LIE SYMMETRIES; NONLINEAR FLOW; RAYLEIGH; RAYLEIGH PROBLEM; SISKO FLUID; TIME-DEPENDENT MAGNETIC FIELD; UNSTEADY UNIDIRECTIONAL FLOW;

AERODYNAMICS; FLUID DYNAMICS; MAGNETIC FIELDS; UNSTEADY FLOW;

FLUIDS;

EID: 68749090856     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.09.023     Document Type: Article

References (24)

1. Rajagopal K.R. On the boundary conditions for fluids of the differential type. In: Sequira A. (Ed). Navier-Stokes Equation and Related Non-Linear Problems (1995), Plenum press, New York 273-278
2. Rajagopal K.R., and Kaloni P.N. Some remarks on the boundary conditions for fluids of the differential type. In: Gram G.A., and Malik S.K. (Eds). Continuum Mechanics and its Applications (1989), Hemisphere, Washington DC 935-941
3. Chen C.I., Chen C.K., and Yang Y.T. Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different given volume flow rate conditions. Heat Mass Transfer 40 (2004) 203-209
4. Fetecau C., and Fetecau C. Unsteady flow of Oldroyd-B fluids in a channel of rectangular cross-section. Int. J. Non-Linear Mech. 40 (2005) 1214-1219
5. Fetecau C., and Fetecau C. Decay of a potential vortex in an Oldroyd-B fluid. Int. J. Eng. Sci. 43 (2005) 340-351
6. Fetecau C., and Fetecau C. Starting solutions for some unidirectional flows of a second grade fluid. Int. J. Eng. Sci. 43 (2005) 781-789
7. Tan W.C., and Masuoka T. Stokes first problem for a second grade fluid in a porous half space with heated boundary. Int. J. Non-Linear Mech. 40 (2005) 515-522
8. Tan W.C., and Masuoka T. Stokes first problem for an Oldroyd-B fluid in a porous half space. Phys. Fluids 17 (2005) 023101-023107
9. Hayat T., Khan M., Siddiqui A.M., and Asghar S. Transient flows of a second grade fluid. Int. J. Non-Linear Mech. 39 (2004) 1621-1633
10. Hayat T., and Khan M. Homotopy solutions for a generalized second grade fluid past a porous plate. Nonlinear Dyn. 42 (2005) 395-405
11. Hayat T., and Ali N. Peristaltically induced motion of a MHD third grade fluid in a deformable tube. Physica A 370 (2006) 225-239
12. Sajid M., Hayat T., and Asghar S. On the analytic solution of the steady flow of a fourth grade fluid. Phys. Lett. A 355 (2006) 18-26
13. Abbas Z., Sajid M., and Hayat T. MHD boundary layer flow of an upper-convected Maxwell fluid in a porous channel. Theor. Comput. Fluid Dyn. 20 (2006) 229-238
14. Sajid M., and Hayat T. Wire coating analysis by withdrawal from a bath of Sisko fluid. Appl. Math. Comput. 199 (2007) 13-22
15. Khan M., Abbas Z., and Hayat T. Analytic solution for flow of Sisko fluid through a porous medium. Transp. Porous Media. 71 (2008) 23-37
16. H.M. Mamboundou, M. Khan, T. Hayat, F.M. Mahomed, Reduction and solutions for MHD flow of a Sisko fluid in a porous medium, J. Porous Media (in press)
17. Abd-el-Malek M.B., Badran N.A., and Hassan H.S. Solution of the Rayleigh problem for a power law non-Newtonian conducting fluid via group method. Int. J. Eng. Sci. 40 (2002) 1599-1609
18. Wafo Soh C. Invariant solutions of the unidirectional flow of an electrically charged power-law magnetic field. Commun. Nonlinear Sci. Numer. Simul. 10 (2005) 537-548
19. Sisko A.W. The flow of lubricating greases. Ind. Eng. Chem. 50 (1958) 1789-1792
20. Rivlin R.S., and Ericksen J.L. Stress deformation relations for isotropic materials. J. Ration Mech. Anal. 4 (1955) 323-425
21. Bluman G.W., and Kumei S. Symmetries and Differential Equations (1989), Springer, New York
22. Olver P.J. Applications of Lie Groups to Differential Equations (1986), Springer, New York
23. Ovsiannikov L.V. Group Analysis of Differential Equations (1982), Academic, New York
24. J.M. Díaz, Short guide to YaLie: Yet another Lie Mathematica package for Lie symmetries, http://library.wolfram.com/infocenter/MathSource/4231/YaLie.ps