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

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this work, the two Couette flows of a second grade fluid are discussed in a porous layer when (i) bottom plate moves suddenly (ii) bottom plate oscillates. Laplace transform method is used to determine the analytic solutions. Expressions for the velocities, volume fluxes and frictional forces are constructed.
Rocznik
Strony
405--416
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
  • Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, Pakistan
autor
  • Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, Pakistan
autor
  • Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, Pakistan
  • Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA
Bibliografia
  • 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,)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0006-0088
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