Non-Newtonian flows over an oscillating plate with variable suction

• Autorzy: Hayat T. , Abbas Q. , Khan M. , Siddiqui A. M.
• Języki publikacji: EN

Abstrakty

EN

The flow of second order fluid due to an oscillating infinite plate in the presence of a transverse magnetic field for two forms of time-depend suction are considered. The analytical solution of the governing boundary value problems are obtained. It is found that an external magnetic field and normal stress coefficient on the flow has opposite effects.

Słowa kluczowe

EN

non-Newtonian flow; oscillating flow; porous oscillating plate; second order fluid; external magnetic field; suction

PL

nienewtonowski przepływ; przepływ oscylacyjny; płyn drugiego rodzaju; zewnętrzne pole magnetyczne; ssanie

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2003
• Tom: Vol. 55, nr 4
• Strony: 327--344
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Hayat T.

• Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan

autor

Abbas Q.

• Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan

autor

Khan M.

• Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan

autor

Siddiqui A. M.

• Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, U.S.A.

Bibliografia

• 1. M. J. LIGHTHILL, The response of laminar skin friction and heat transfer to fluctuations in the stream velocity, Proc. R. Soc. Lond., A224, 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 to fluctuations In the stream velocity, Proc. R. Soc. Lond., A231, 116, 1955.
• 3. G. V. LACHMANN, Boundary layer and flow contro, its principles and applications, vols. I and II, Pergamon Press, Oxford 1961.
• 4. J. WATSON, A solution of the Navier-Stokes equation illustrating the response of the laminar boundary layer to a given change in the external stream velocity, Quart. J. Mech. Appl. Math., 11, 302, 1958.
• 5. P. N. KALONI, Fluctuating flow of an elastico-viscous fluid past a porous flat plate, Physics of Fluids., 10, 1344, 1966.
• 6. S. A. S. MESSIHA, Laminar boundary layers in oscillating flow along an infinite flat plate with variable suction, Proc. Camb. Phil. Soc., 62, 329, 1966.
• 7. V. M. SOUNDALGEKAR, P. PURl, On fluctuating flow of an elastico-viscous fluid past an infinite plate with variable suction, J. Fluid Mech., 35, 3, 561, 1969.
• 8. H. SCHLICHTING, Grenzschicht theorie, 8-th edition, Braun, Karlsruhe 1982.
• 9. K. R. RAJAGOPAL, A note on unsteady unidirectional flows of a non-Newtonian fluid, Int. J. Non-Linear Mech., 17, 369, 1982.
• 10. K. R. RAJAGOPAL, T. Y. NA, On Stokes problem for a non-Newtonian fluid, Acta Mech., 48, 233, 1983.
• 11. J. R. FOOTE, P. PURl, P. K. KYTHE, Some exact solutions of the Stokes problem for an elastico-viscous fluid, Acta Mech., 68, 233, 1987.
• 12. P. PURl, Rotating flow of an elastico-viscous fluid on an oscillating plate, ZAMM., 54, 743, 1974.
• 13. T. HAYAT, S. ASGHAR, A. M. SIDDIQUI, Periodic unsteady flows of a non-Newtonian fluid, Acta Mech., 131, 169, 1998.
• 14. T. HAYAT, S. ASGHAR, A. M. SIDDIQUI, On the moment of a plane disk in a nonNewtonian fluid, Acta Mech., 136, 125, 1999.
• 15. T . HAYAT, S. ASGHAR, A. M. SIDDIQUI, Some non steady flows of non-Newtonian fluid, Int. J. Engng. Sci., 38, 337, 2000.
• 16. S. TURBATU, K. BUHLER, J. ZIEREP, New solutions of the II-Stokes problem for an oscillating flat plate, Acta Mech., 129, 25, 1998.
• 17. V. J . Rossow, NASA Tech. Note 3971,1957.
• 18. U. SURYAPRAKASARAO, The reponse of laminar skin friction and heat transfer to fluctuations in the stream velocity in the presence of a transverse magnetic field, I. Z. Angew. Math. Mech., 43, 133, 1962.
• 19. IBID, II Z. Angew. Math. Mech., 43, 127, 1963.
• 20. R. E . KELLY The flow of a viscous fluid past a wall of infinite extent with time-dependent suction, Quart. J. Mech. Appl. Math., 18, 13, 287, 1965.
• 21. K. WALTERS, in IUTAM. International Symposium on second order effects in elasticity, Plasticity and fluid dynamic, M. REINER and D. ABIR, [Eds.], Pergamon Press., Inc., 507, New York 1964.
• 22. J. A. SHERCLIFF, A text book of magnetohydrodynamics, Pergamon Press, 1965.
• 23. J. E. DUNN, R. L. FOSDICK, Thermodynamics stability and boundedness of flu'ids of complexity 2 and fluids of second grade, Arch. Rat. Mech. Anal., 3, 191, 1974.
• 24. C. TRUESDELL, W. NOLL, The nonlinear field theories of mechanics (Handbuch der Physik, 111/3), Berlin Heidelberg New York Springer, 1965.
• 25. K . R. RAJAGOPAL, On boundary conditions for fluids of differential type, [in:] A. SEQUEIRA [Ed.]' Navier-Stokes equations and related nonlinear problems, Plenum Press, 273, New York 1995.
• 26. K. R . RAJAGOPAL, P. N. KALONI, Some remarks on boundary conditions for differentia type, [in:] G. A. C. GRAHAM, S. K. MALIK, [Eds.]' Continum mechanics and its applications, 936, Heimsphere, New York 1989.
• 27. K. R. RAJAGOPAL, A. S. GUPTA, An exact solution for the flow of non-Newtonian fluid past an infinite plate, Meccanica, 19, 158, 1984.
• 28. W. D. BEARD, K. WALTERS, Elastico-viscous boundary-layer flows, Proc. Camb. Phil. Soc., 60, 667, 1964.
• 29. V. K. GARG, K. R. RAJAGOPAL, Flow of non-Newtonian fluid past a wedge, Acta Mech., 88, 113, 1991.
• 30. G. K. RAJESWARI, S. L. RATHNA, Flow of a particular class of non-Newtonian viscoelastic and visco-elastic fluids near a stagnation point, ZAMP., 13, 43, 1962.