Hydromagnetic flow of a dusty fluid between parallel porous plates, considering the ion slip

• Autorzy: Attia H. A.
• Języki publikacji: EN

Abstrakty

EN

In the present study, the transient hydromagnetic flow between parallel porous plates of a dusty viscous, incompressible, electrically conducting fluid under the influence of a constant pressure gradient is studied, considering the ion slip. The parallel plates are assumed to be porous and subjected to uniform suction from above and injection from below, while the fluid is acted upon by an external uniform magnetic field applied perpendicular to the plates. The equations of motion are solved analytically to yield the velocity distributions for both the fluid and dust particles as functions of time and space.

Słowa kluczowe

EN

hydromagnetic flow; hydrodynamic; ion slip; parallel chanel flow; dusty fluid; analytical solutions

PL

przepływ hydromagnetyczny; przepływ pyłu; przepływ w jednorodnym polu magnetycznym

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2006
• Tom: Vol. 47, no 3
• Strony: 131--147
• Opis fizyczny: Bibliogr. 20 poz., wykr.

Twórcy

autor

Attia H. A.

• Department of Mathematics, College of Science, Al-Qasseem University, P.O., Box 237, Buraidah 819999, Egipt,

Bibliografia

• 1. J. LOHRABI, PhD Thesis, Department of Mathematics, Tennessee Technological University, USA, 1980.
• 2. A.J. CHAMKHA, Unsteady laminar hydromagnetic fluid-particle flow and heat transfer in channels and circular pipes, International J. of Heat and Fluid Flow, 21, 740, 2000.
• 3. P.G. SAFFMAN, On the stability of a laminar flow of a dusty gas, Journal of Fluid Mechanics, 13, 120, 1962.
• 4. R.K. GUPTA, S.C. GUPTA, Flow of a dusty gas through a channel with arbitrary time varying pressure gradient, Journal of Applied Mathematics and Physics, 27, 119, 1976.
• 5. V.R. PRASAD, N.C.P. RAMACHARYULU, Unsteady flow of a dusty incompressible fluid between two parallel plates under impulsive pressure gradient, Def. Sci. Journal, 30, 125, 1979.
• 6. L.A. DIXIT, Unsteady flow of a dusty viscous fluid through rectangular ducts, Indian Journal of Theoretical Physics, 28, 129, 1980.
• 7. K. GHOSH, D.K. MITRA, Flow of a dusty fluid through horizontal pipes, Rev. Roum. Phys., 29, 631, 1984.
• 8. K.K. SINGH, Unsteady flow of a conducting dusty fluid through a rectangular channel with time dependent pressure gradient, Indian Journal of Pure and Applied Mathematics, 8, 1124, 1976.
• 9. P. MITRA, P. BHATTACHARYYA, Unsteady hydro-magnetic laminar flow of a conducting dusty fluid between two parallel plates started impulsively from rest, Acta Mechanica, 39, 171, 1981.
• 10. K. BORKAKOTIA, A. BHARALI, Hydromagnetic floe and heat transfer between two horizontal plates, the lower plate being a stretching sheet, Quarterly of Applied Mathematics, 1, 461, 1983.
• 11. A.A. MEGAHED, A.L. ABOUL-HASSAN, H. SHARAF EL-DIN, Effect of Joule and viscous dissipation on temperature distributions through electrically conducting dusty fluid, Fifth Miami International Symposium on Multi-Phase Transport and Particulate Phenomena; Miami Beach, Florida, USA, 3, 111, 1988.
• 12. A.L. ABOUL-HASSAN, H. SHARAF EL-DIN, A. A. MEGAHED, Temperature due to the motion of one of them, First International Conference of Engineering Mathematics and Physics, Cairo, 1, 723, 1991.
• 13. K. CRAMMER, S. PAI, Magnetofluid dynamics for engineer and scientists, McGraw-Hill, New York 1973.
• 14. G.W. SUTTON, A. SHERMAN, Engineering Magnetohydrodynamics, McGraw-Hill, New York 1965.
• 15. M. SOUNDALGEKAR, N.V. VIGHNESAM, H. TAKHAR, Hall and ion-slip effects in MHD Couette flow with heat transfer, IEEE Transactions on Plasma Science, 7, 178, 1979.
• 16. V.M. SOUNDALGEKAR, A.G. UPLEKAR, Hall effects in MHD Couette flow with heat transfer, IEEE Transactions on Plasma Science, 14, 579, 1986.
• 17. H.A. ATTIA, Hall current effects on the velocity and temperature fields of an unsteady Hartmann flow, Can. J. Phys., 76, 739, 1998.
• 18. H.A. ATTIA, Transient Hartmann flow with heat transfer considering the ion slip, Physica Scripta, 66, 470, 2002.
• 19. A.L. ABOUL-HASSAN, H.A. ATTIA, Hydromagnetic flow of a dusty fluid in a rectangular channel with hall current and heat transfer, Can. J. Phys., 80, 579, 2002.
• 20. M.R. SPIEGEL, Theory and problems of laplace transforms, McGraw-Hill, New York 1986.