Oscillating magnetohydrodynamic flow past a rigid plane wall

• Autorzy: Poria S. , Mazumdar H. P.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the effects of a magnetic field acting perpendicularly to the direction of an oscillatory, viscous, conducting, incompressible fluid stream past a fixed plane wall is investigated. The problem is first converted to the Stokes second problem by introducing a new coordinate system and prescribing the appropriate forms for the pressure gradient corresponding to two sets of boundary and initial conditions. Solutions to the problem are then obtained by invoking an invariance principle, and computed numerically for different values of a magnetic parameter. The effects of the transversal magnetic field on the velocity profiles are finally discussed.

Słowa kluczowe

EN

magnetohydrodynamics; external flows; flow instability; flow simulation; fluid oscillations; Stokes second problem; coordinate system; invariance principle; pressure gradient; velocity profile

PL

magnetohydrodynamika; przepływ zewnętrzny; niestabilność przepływu; symulacja przepływu; oscylacja płynu; układ współrzędny; zasada niezmienniczości; gradient ciśnienia; profil prędkości

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2002
• Tom: Vol. 43, no 3
• Strony: 343--350
• Opis fizyczny: Bibliogr. 6 poz., wykr.

Twórcy

autor

Poria S.

• Department of Mathematics, Midnapore College, Midnapore West Bengal, India

autor

Mazumdar H. P.

• Physics and Applied Mathematics Unit (PAMU), Indian Statistical Institute, Calcutta-700 035, India

Bibliografia

• 1. H. Schlichting, Boundary layer theory, 6th Ed., McGraw Hill, New York 1968.
• 2. R. Panton, The transients for Stokes oscillating plane: A solution in terms of tabulated functions, J. Fluid Mech., 31, 819-825, 1968.
• 3. A. Ghosh, Superposition of convective oscillations and viscous oscillations near a vertical wall, Bull. Cal. Math. Soc., 63, 51-55, 1971.
• 4. M. Erdogan, A note on an unsteady flow of a viscous fluid due to an oscillating plane wall, Int. J. Non-Linear Mech., 35, 1-6, 1999.
• 5. S. Poria, Some effects of a transverse magnetic field on the flow of a viscous conducting fluid produced by an oscillating plane wall, J. Tech. Phys., 42, 4, 387-395, 2001.
• 6. F.M. White, Viscous fluid flow, McGraw-Hill, Inc., New York 1991.