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Fluctuating flow of a third order fluid past an infinite plate with variable suction

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The two-dimensional flow problem of a third order incompressible fluid past an infinite porous plate is discussed when the suction velocity normal to the plate, as well as the the external flow velocity, varies periodically with time. The governing partial differential equation is of third order and nonlinear. Analytic solution is obtained using the series method. Expressions for the velocity and the skin friction have been obtained in a dimensionless form. The results of viscous and second order fluids can be recovered as special cases of this problem. Finally, several graphs are plotted and discussed.
Rocznik
Strony
305--324
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
  • Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan.
autor
  • Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan.
  • Department of Mechanics, Institute of Fluid Mechanics, AG-III, Darmstadt University of Technology, Hochschulstr. 1, D-64289, Darmstadt, Germany
autor
  • Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan.
Bibliografia
  • 1. M. J. LlGHTHILL, The response of laminar skin friction and heat trarufer to ft:/J,c;tuations in the stream velocity, Proc. R. Soc. Lond. A, 224, 1, 1954.
  • 2. J. T. STUART, A solution of the Navier-Stokes and energy equations illustrating the response of skin friction and temperature of an infinite plate thermometer fluctuations In the stream velocity. Proc. Roy. Soc. Ser. A, 231, 116, 1955.
  • 3. J. WATSON, A solution of the Navier Stokes equation, Quart. J. Mech. Appl. Math. 11, 302, 1958.
  • 4. S. A. S. MESSlHA, Laminar boundary layers in oscillatory flow along an infinite plate with variable suction, Proc. Camb. Phil. Soc. 62, 329, 1966.
  • 5. R. E. KELLY, The flow of viscous fluid past a wall of infinite extent with time dependent suction, Quart. J. Mech. Appl. Math., 18, 287, 1965.
  • 6. K . LAL, A note on the unsteady flow along infinite flat plate with time dependent suction, Indian J. Maths., 11, 2, p. 51, 1969.
  • 7. U. SURYAPRAKASARAO, The response of laminar skin friction and heat transfer to fluctuations in the stream velocity in the presence of a transverse magnetic field, ZAMM, 43, 127, 1963.
  • 8. P. N. KALONI, Fluctuating flow of an elastico-viscous fluid past a porous flat plate, Phys. Fluids, 10, 1344, 1967.
  • 9. V. M. SOUNDALGEKAR and P. PURl, On fluctuating flow of an elastico viscous fluid past an infinite plate with variable suction, J . Fluid Mech., 35, 3, p. 561, 1969.
  • 10. P. PURl, Fluctuating flow of a viscous fluid on a porous plate in a rotating medium, Acta Mech., 21, 153, 1975.
  • 11. G. V. LACHMAN, Boundary layer and flow control, Its principles and application, Vols. I and II Pergamon Press, Oxford 1961.
  • 12. H. A. BARNESS, P . TOWNSEND and K. WALTERS, Flow of a non-Newtonian liquids under varying pressure gradient, Nature, 224, 585, 1969.
  • 13. K. WALTERS and P. TOWNSEND, Proc. 4th Int. Congress on Rheology, S. ONOGI [Ed.]' 4, p. 471, Tokyo 1970.
  • 14. C. BRUCE, Ph. D. Dissertation, Stanford 1969.
  • 15. M. E. ERDOGAN, Unsteady viscous flow between eccentric rotating disks, Acta Mech., 108, 179, 1995.
  • 16. C. TRUESDELL and W . NOLL, The nonlinear field theories of mechanics, Handbuchder Physic, Vol. 111/3, Springer, Berlin 1965.
  • 17. D. D. JOSEPH, Arch. Rat. Mech. Anal., 15, 251, 1981.
  • 18. R. L. FOSDICK and K. R. RAJAGOPAL, Thermodynamics and stability of fluids of third grade, Proc. R. Soc. Lond., A 339, 377, 1980.
  • 19. M. RENARDY, Arch. Rat. Mech. Anal., 19, 21, 1983.
  • 20. J. E. DUNN and K . R. RAJAGOPAL, Fluids of differential type: critical review and thermodynamic analysis, Int. J. Engng. Sci., 33, 689, 1995.
  • 21. K. R. RAJAGOPAL, On creeping flow of a second order fluid, J. Non-Newtonian Fluid Mech., 15, 239, 1984.
  • 22. K. R. RAJAGOPAL and P. N. KALONI, Some remarks on boundary conditions for flow of fluids of differential type, [in:] B. C. BUNABY [Ed.], Continuum Mech. and its applications, hemisphere, New York, 1989.
  • 23. K. R. RAJAGOPAL and A. S. GUPTA, An exact solution for the flow of a non-Newtonian fluid past a porous plate, 19, 158, 1984.
  • 24. K. R. RAJAGOPAL, On boundary conditions for the fluids of differential type, [in:] A . SEQUEIRA [Ed.], Navier-Stokes Equations and Related Nonlinear Problems, Plenum Press, New York 1995.
  • 25. R. L. FOSDICK and B. BERSTEIN, Non-uniqueness of second order fluid under steadyt radial flow in annuli, 1, 555-569, 1969.
  • 26. K. R. FRATER, On solutions of some boundary value problems arising in elastico-viscous fluid mechanics, ZAMP, 21, 134, 1970.
  • 27. M. E. ERDOGAN, On the flow of a non-Newtonian fluid past a porous flat plate, ZAMM, 55, 99, 1975.
  • 28. D. W. BEARD and K. WALTERS, Elastico-viscous boundary layer flows, Proc. Camb. Phil. Soc., 60, 667, 1964.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0002-0101
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