Hall and thermal radiative effects on an unsteady rotating free convection slip flow along a porous vertical moving plate

• Autorzy: Jain N. C. , Singh H.
• Języki publikacji: EN

Abstrakty

EN

The present investigation is made to study the effects of Hall current and thermal radiation on an unsteady free convection flow in an incompressible, viscous fluid through a porous medium in a rotating system with a transversely applied magnetic field. A perturbation technique is used to obtain the solutions of velocity and temperature fields by separating real and imaginary parts. Expressions for the skin friction and Nusselt number are also derived. It is observed that an increase in the Hall parameter (m) decreases the primary skin friction ( p), but increases the secondary skin friction ( s) while an increase in the radiation parameter decreases the Nusselt number (Nu).

Słowa kluczowe

EN

Hall current; heat transfer; porous medium; rotational velocity; slip velocity

PL

wymiana ciepła; porowatość; prędkość obrotowa; prędkość poślizgu

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 1
• Strony: 53--70
• Opis fizyczny: Bibliogr. 24 poz., wykr.

Twórcy

autor

Jain N. C.

autor

Singh H.

• Department of Mathematics, University of Rajasthan Jaipur-302055, INDIA,

Bibliografia

• Acharya M., Dash G.C. and Singh L.P. (2000): Magnetic field effects on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux. - Indian J. Pure Appl. Math., vol.31, pp.1-18.
• Agarwal H.L., Ram P.C. and Singh V. (1983): Combined influence of dissipation and Hall effects on free convective flow in a rotating fluid. - Indian J. Pure Appl. Math., vol.14, No.3, pp.314-321.
• Angirasa D. and Peterson G.P. (1997): Nature convection heat transfer from an isothermal vertical surface to a fluid saturated thermally stratified porous medium. - Int. J. Heat Mass Transfer, vol.39, pp.4329-4338.
• Attia Hazem Ali (2004): Hall effect on flow of a dusty non-newtonian fluid in a circular pipe. - Modelling, Measurement and Control B, vol.73, No.2, pp.59-70 (ASME periodical).
• Bejan A. and Anderson R. (1981): Heat transfer across a vertical impermeable partition embedded in a porous medium. - Int. J. Heat Mass Transfer, vol.24, pp.1237-1245.
• Chandrakala P. and Antony Raj S. (2007): Radiative heat and mass transfer effects on moving isothermal vertical plate in the presence of magnetic field. - Ind. J. of Mathematics, vol.49, pp.289-302.
• Debnath L., Ray S.C. and Chatterjee A.K. (1979): Effects of hall current on unsteady hydromagnetic flow past a porous plate in a rotating system. - ZAMM, vol.59, pp.469-471.
• Elbashbeshy E.M.A. (1996): Heat and mass transfer along a vertical plate in the presence of magnetic field. - J. Pure Appl. Math., vol.27, No.6, pp.621-631.
• England W.G. and Emery A.F. (1969): Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas. - J. Heat Transfer, vol.91, pp.37-44.
• Ghosh S.K. (2007): Thermal radiation of an optically thin gray gas in the presence of indirect natural convection. - Int. J. of Appl. Mech. and Engg., vol.12, No.3, pp.593-598.
• Gupta Mukesh and Goyal Anup (1995): MHD unsteady flow of a viscous stratified fluid through a porous medium between two parallel plates in slip flow regime. - Acta Ciencia Indica, vol.21, No.4, pp.488-494.
• Hossain M.A. and Takhar H.S. (1996): Radiation effect on mixed convection along a vertical plate with uniform surface temperature. - Heat Mass Transfer, vol.32, pp.243-248.
• Jain N.C. and Gupta P. (2007): Hall effects on unsteady free convection slip flow in a rotating fluid along a porous vertical surface bounded by porous medium. - Int. J. of Appl. Mech. and Engg., vol.12, No.3, pp.609-627.
• Jothimani S. and Anjali Devi S.P. (2001): MHD Couette flow with heat transfer and slip flow effects in an inclined channel. - Indian Journal of Mathematics, vol.43, No.1, pp.47-62.
• Nield D.A. (1994): Convection in porous medium with inclined temperature gradient an additional results. - Int. J. Heat Mass Transfer, vol.37, pp.3021-3025.
• Nield D.A. and Bejan A. (1999): Convection in porous media. - Berlin: Springer.
• Pop I. and Watanabe T. (1995): Hall effects on magnetohydrodynamic boundary layer flow over a continuous moving flat plate. - Acta Mechanica, vol.108, pp.35-47.
• Raptis A. and Kafousias N.G. (1982): Free convection and mass transfer flow through a porous medium under the action of a magnetic field. - Rev. Roum. Sci. Tech.- Mec. Appl. Tome, vol.27, No.1, pp.37-43.
• Raptis A. and Perdikis C. (1999): Radiation and free convection flow past a moving plate. - Int. J. App. Mech. and Engg., vol.4, pp.817-821.
• Shereliff J.A. (1965): A text book of magnetohydrodynamic. - 1st ed., London: Pergamon Press.
• Singh Atul Kumar, Singh Ajay Kumar and Singh N.P. (2003): Heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity. - Ind. J. Pure Appl. Math., vol.34, No.3, pp.429-442.
• Souondalgekar V.M., Ramana Murty T.V. and Takhar H.S. (1990): Heat transfer in MHD unsteady stagnation point flow with variable wall temperature. - Ind. J. Pure Appl. Math., vol.21, No.4, pp.384-389.
• Street R.E. (1960): A Steady of Boundary Conditions in Slip Flow Aerodynamics in Rarefied Gas Dynamics. - London: Pergamon Press.
• Taneja R. and Jain N.C. (2002): Effects of magnetic field on free convection mass transfer flow through porous medium with radiation and variable permeability in slip flow regime. - Jnanabha, vol.31/32, pp.69-81.