Unsteady solutions in a third-grade fluid filling the porous space

Mathematical Problems in Engineering

Volumn 2008, Issue , 2008, Pages

  Hayat, T ^a   Mambili Mamboundou, H ^b   Mahomed, F M ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS; GROUNDWATER FLOW; NUMERICAL METHODS; POROUS MATERIALS;

DARCY'S LAW; FLOW MODELLING; POROUS MEDIUMS; POROUS SPACE;

FLUID MECHANICS;

EID: 47649128715     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2008/139560     Document Type: Article

References (26)

1. Rajagopal K. R., Boundedness and uniqueness of fluids of the differential type Acta Ciencia Indica 1982 8 14 28 38
2. Rajagopal K. R., Sequira A., On boundary conditions for fluids of the differential type Navier-Stokes Equations and Related Nonlinear Problems 1995 New York, NY, USA Plenum Press 273 278
3. Rajagopal K. R., Szeri A. Z., Troy W., An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate International Journal of Non-Linear Mechanics 1986 21 4 279 289
4. Rajagopal K. R., Kaloni P. N., Graham G. A. C., Malik S. K., Some remarks on boundary conditions for flows of fluids of the differential type Continuum Mechanics and Its Applications 1989 New York, NY, USA Hemisphere 935 942
5. Rajagopal K. R., Na T. Y., On Stokes problem for a non-Newtonian fluid Acta Mechanica 1983 48 3-4 233 239
6. Rajagopal K. R., Na T. Y., Natural convection flow of a non-Newtonian fluid between two vertical flat plates Acta Mechanica 1985 54 3-4 239 246
7. Rajagopal K. R., Gupta A. S., An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate Meccanica 1984 19 2 158 160
8. Hayat T., Khan M., Ayub M., Some analytical solutions for second grade fluid flows for cylindrical geometries Mathematical and Computer Modelling 2006 43 1-2 16 29
9. Hayat T., Abbas Z., Asghar S., Heat transfer analysis on rotating flow of a second-grade fluid past a porous plate with variable suction Mathematical Problems in Engineering 2005 2005 5 555 582
10. Hayat T., Nadeem S., Asghar S., Siddiqui A. M., Effects of Hall current on unsteady flow of a second grade fluid in a rotating system Chemical Engineering Communications 2005 192 10 1272 1284
11. Hayat T., Ellahi R., Ariel P. D., Asghar S., Homotopy solution for the channel flow of a third grade fluid Nonlinear Dynamics 2006 45 1-2 55 64
12. Hayat T.
13. Ariel P. D.
14. Hayat T., Kara A. H., Couette flow of a third-grade fluid with variable magnetic field Mathematical and Computer Modelling 2006 43 1-2 132 137
15. Abd-el-Malek M. B., Badran N. A., Hassan H. S., Solution of the Rayleigh problem for a power law non-Newtonian conducting fluid via group method International Journal of Engineering Science 2002 40 14 1599 1609
16. Wafo Soh C., Invariant solutions of the unidirectional flow of an electrically charged power-law non-Newtonian fluid over a flat plate in presence of a transverse magnetic field Communications in Nonlinear Science and Numerical Simulation 2005 10 5 537 548
17. Chen C.-I.
18. Fetecau C., Fetecau C., 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 2006 44 11-12 788 796
19. Fetecau C., Fetecau C., Decay of a potential vortex in an Oldroyd-B fluid International Journal of Engineering Science 2005 43 3-4 340 351
20. Fetecau C., Fetecau C., Starting solutions for some unsteady unidirectional flows of a second grade fluid International Journal of Engineering Science 2005 43 10 781 789
21. Tan W.
22. Tan W., Masuoka T., Stokes first problem for an Oldroyd-B fluid in a porous half space Physics of Fluids 2005 17 2 7
23. Truesdell C., Noll W., The non-linear field theories of mechanics Handbuch der Physik, Band III/3 1965 Berlin, Germany Springer 1 602
24. Rivlin R. S., Ericksen J. L., Stress-deformation relations for isotropic materials Journal of Rational Mechanics and Analysis 1955 4 323 425
25. Fosdick R. L., Rajagopal K. R., Thermodynamics and stability of fluids of third grade Proceedings of the Royal Society of London 1980 369 1738 351 377
26. Alishayev M. G., Proceedings of Moscow Pedagogy Institute Hydrodynamics 1974 3 166 174