Free convective heat and mass transfer flow over a non-isothermal stretching sheet with added heat source and thermal diffusion in a saturated porous medium

• Autorzy: Pravin V. K. , Rajagopal K. , Veena P. H. , Umesh K. S.
• Języki publikacji: EN

Abstrakty

EN

The present paper deals with the study of MHD free convection and mass transfer flow of an incompressible viscous fluid past a continuously moving non-isothermal infinite vertical sheet in non-Darcy porous media in the presence of large suction under the influence of uniform magnetic field considering heat source and thermal diffusion with viscous dissipation, inertia term and stress work. Introducing the usual similarity transformations, the equations of momentum, energy and concentration are made linear. To obtain the solution of the problem, ordinary differential equations are solved analytically. The effects of various physical parameters such as the magnetic parameter, permeability parameter, inertia parameter, suction/blowing parameter on heat transfer characteristics are analysed. One of the important findings of our study is that of increasing the value of the inertia parameter k3 decreases the velocity profile and to increase the temperature profile.

Słowa kluczowe

EN

convective heat and mass transfer; stress work; suction/blowing; heat source/sink; inertia parameter; non-isothermal stretching sheet

PL

wymiana ciepła; wymiana masy; ssanie; źródła ciepła; parametr bezwładności

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 1
• Strony: 177--194
• Opis fizyczny: Bibliogr. 26 poz., wykr.

Twórcy

autor

Pravin V. K.

autor

Rajagopal K.

autor

Veena P. H.

autor

Umesh K. S.

• Dept. of Mechanical Engineering P.D.A. College of Engineering Gulbarga, Karnataka, INDIA,

Bibliografia

• Abdusattar M.D. (1994): Free convection and mass transfer flow through a porous medium past an infinite vertical porous plate. - Ind. J. Pure Appl. Math., vol.25, pp.259-266.
• Acharya M., Das G.C. and Singh L.P. (2000): Magnetic field effect on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux. - Ind. J. Pure. Appl. Math., vol.31, pp.1-8.
• Agarwal A.K., Kishor B. and Raptors A. (1988): Warme and Stoffubertrangung, vol.24, pp.243-250.
• Alam M.M. and Sattar M.A. (1999): Local solutions of MHD free convection and mass transfer flow with thermal diffusion. - Ind. J. Theo. Phys., vol.47, pp.19-34.
• Bejan A. and Khair K.R. (1992): Convective in Porous Media. 2nd edition. - New York: Springer.
• Chamkha A.J. (1996): Non-Darcy hydromagnetic free convection from a cone and a wedge in porous media. - Int. Commun. Heat Mass Transfer, vol.23, pp.875-881.
• Cheng P. and Minkowycz W.J. (1977): Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike. - J. Geophys. Res., vol.82, pp.2040-2048.
• Cramer K.P. and Pai S.I. (1973): Magneto Fluid Dynamics for Engineers and Applied Physics. - New York: Mc Graw Hill Book Co.
• Gebhart B. and Pera L. (1971): The nature of vertical natural convection flows resulting from the combined effects of thermal and mass diffusion. - Int. J. Heat Mass Transfer, vol.14, pp.2025-2050.
• Gebhart B. and Pera L. (1971): Effects of viscous dissipation in natural convection. - Int. J. Heat Mass Transfer, vol.14, pp.957-964.
• Gebhart B. and Pera L. (1973): Natural convection boundary layer flow over horizontal and slightly inclined surfaces. - Int. J. Heat Mass Transfer, vol.16, pp.1131-1146.
• Gebhart B. and Pera L. (1973): On the stability of natural convection boundary layer flow over horizontal and slightly inclined surfaces. - Int. J. Heat Mass Transfer, vol.16, pp.1147-1153.
• Jha B.K. and Singh A.K. (1990): Soret effects on free convection and mass transfer flow in the Stokes problem for an infinite vertical plate. - Astrophys. Space Sci., vol.173, pp.251-255.
• Jha B.K. and Prasad R. (1992): MHD free convection and mass transfer flow through a porous medium with heat source. - J. Math. Phy. Sci., vol.26, pp.1-8.
• Na T.Y. and Pop I. (Eds) (1983): Transport Phenomena in Porous Media. - Oxford: Pergamon.
• Raptis A.A. and Kafousias N. (1982): Heat transfer in flow through a porous medium boundary by an infinite vertical plate under the action of a magnetic field. - Int. J. Energy Res., vol.6, pp.241-245.
• Raptis A.A. and Soundalgekar V.M. (1984): MHD flow past a steadily moving infinite vertical plate with mass transfer and constant heat flux. - ZAMM, vol.64, pp.127-130.
• Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surfaces: II Boundary layer on a continuous flat surface. - AIChE, Journal, vol.7, pp.221-225.
• Sattar M.A. and Alam M.M. (1995): Sorret effects as well as transpiration effects on MHD free convection and mass transfer flow past an impulsively started vertical porous plate in a rotating fluid. - Ind. J. Theo. Phy., vol.43, pp.169-182.
• Singh N.P. (1996): Unsteady MHD free convection and mass transfer of a dusty viscous flow through a porous medium bounded by an infinite vertical porous plate with constant heat flux. - Proc. Math. Soc., vol.12, pp.109-114.
• Singh A.K. and Dixit C.K. (1988): Hydromagnetic flow past a continuously moving semi-infinite plate for large suction. - Astrophys. Space Sci., vol.148, pp.249-256.
• Singh N.P. and Atul Kumar Singh (2000): MHD effects on heat and mass transfer in flow of a viscous fluid with induced magnetic field. - Ind. J. Pune Appl. Phys., vol.38, pp.182-189.
• Singh A.K. (2000): Effect on mass transfer on MHD free convection flow of a viscous fluid through a vertical channel. - J. Energy Heat and Mass Transfer, vol.22, pp.41-46.
• Singh A.K. (2001): J. Energy Heat and Mass Transfer, vol.23, pp.227-249.
• Soundalgekar V.M., Ray S.N. and Das U.N. (1995): MHD flow past an infinite vertical oscollating plate with mass transfer and constant heat flux. - Proc. Math. Soc., vol.11, pp.95-98.
• Vajravelu K. and Nayfeh J. (1993): Convective heat transfer at a stretching sheet. - Acta. Mech., vol.96, pp.47-54.