The unsteady Couette flow of a second grade fluid in a layer of porous medium

Archives of Mechanics

Volumn 57, Issue 5, 2005, Pages 405-416

  Hayat, T ^a   Khan, Masood ^a   Ayub, M ^a   Siddiqui, A M ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Exact analytic solutions; Second grade fluid; Unsteady flow

Indexed keywords

EID: 27644496000     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. S. Kakac, B. Kilkis, F. Kulacki, F. Arine, [in:] Convective heat and mass transfer in porous media, Kluwer, Netherlands 1991.
2. D. A. Nield, A. Bejan, Convection in porous media, Springer-Verlag, New York 1999.
3. K. R. Rajagopal, Mechanics of non-Newtonian fluids, [in:] G. P. Galdi, J. Necas [Eds.], Recent Developments in Theoretical Fluid Mechanics, Pitman Research Notes in Mathematical Series, 291, Longman Scientific and Technical, New York 1993.
4. K. R. Rajagopal, A. S. Gupta, An exact solution for the flow of a non-Newtonian fluid past an infinite plate, Meccanica, 19, 158, 1984.
5. D. W. Beard, K. Walters, Elastico-viscous boundary layer flows, Proc. Camb. Phil. Soc., 60, 667, 1964.
6. V. K. Garg, K. R. Rajagopal, Flow of a particular class of non-Newtonian fluid past a wedge, Acta Mech., 88, 113, 1991.
7. R. L. Fosdick, K. R. Rajagopal, Uniq ueness and drag for fluids of second grade in steady motion, Int. J. Non-Linear Mech., 13, 131, 1978.
8. J. E. Dunn, R. L. Fosdick, Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade, Arch. Rat. Mech. Anal., 56, 191, 1974.
9. P. M. Jordan, P. Puri, Stokes' first problem for a Rivlin-Ericksen fluid of second grade in a porous half-space, Int. J. Non-linear Mech., 38, 1019, 2003.
10. W. Tan and T. Masuoka, Stokes' first problem for a second grade fluid in a porous half-space with heated boundary, Int. J. Non-linear Mech., 40, 515, 2005.
11. H. Schlichting, K. Gersten, Boundary layer theory, eighth ed. Springer, New York 2000.
12. P. M. Jordan, P. Puri, Exact solutions for the unsteady plane Couette flow of a dipolar fluid, Proc. Roy. Soc. Lond. Ser. A, 458, 1245, 2002.
13. P. M. Jordan, P. Puri, Exact solutions for the flow of a dipolar fluid on a suddenly accelerated flat plate, Acta Mech., 137 183, 1999.
14. N. Tokuda, On the impulsive motion of a flat plate in a viscous fluid, J. Fluid Mech., 33, 657, 1968.
15. K. Vafai and C. L. Tien, Boundary and inertia effects on flow and heat transfer in porous meida, Int. J. Heat Mass Transf., 24, 195, 1981.
16. J. C. Slattery, Advanced Transport Phenomena, Cambridge University Press, Cambridge, 1999.
17. T. Masuoka and Y. Takatsu, [in:] Turbulence characteristics in porous media, Transport Phenomena in Porous Media vol. II. B. I. Derek and I. Pop [Eds.], (Elsevier Sci. Ltd, Boston, 231-256, 2002,