Effect of magnetic field and heat generation/absorption on free convection along semi-infinite vertical porous plate

• Autorzy: Tak S. S. , Gehlot R. K. , Mathur R.
• Języki publikacji: PL

Abstrakty

EN

Heat and momentum transfer in the case of a steady free convection flow along a semi-infinite vertical porous/non-porous plate in the presence of a uniform transverse magnetic field and uniform heat generation/absorption have been investigated. Non-similar solutions of the governing equations have been obtained by taking series expansions of stream function and temperature function. The resulting set of non-linear coupled ordinary differential equations with the appropriate boundary conditions has been solved numerically, using Newton's shooting technique. Numerical values of functions that correspond to the local wall shear stress and the rate of surface heat transfer are tabulated. The velocity function, temperature function, local skin-friction and local Nusselt number are shown graphically for various values of parameters involved and discussed in detail.

Słowa kluczowe

PL

konwekcja swobodna; warstwa graniczna; absorpcja ciepła; pole magnetyczne

EN

free convection; boundary layer flow; heat generation/absorption; magnetic field; suction/injection

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2010
• Tom: Vol. 15, no 1
• Strony: 237--248
• Opis fizyczny: Bibliogr. 13 poz., wykr.

Twórcy

autor

Tak S. S.

autor

Gehlot R. K.

autor

Mathur R.

• Department of Mathematics and Statistics J.N.V. University, Jodhpur (Raj.) 342001, INDIA,

Bibliografia

• Alam M.S., Rahman M.M and Samad M. A. (2006): Numerical study of the combined free-forced convection and mass transfer flow past a vertical porous plate in a porous medium with heat generation and thermal diffusion. - Nonlinear Analysis: Modelling and Control, vol.11, No.4, pp.331-343.
• Alam M.S., Rahman M.M and Sattar M.A. (2006): MHD Free Convective Heat and Mass Transfer Flow Past an Inclined Surface with Heat Generation. - Tammasat International Journal of Science and Technology, vol.11, No.4, pp.1-8.
• Cebeci T. and Bradshaw P. (1977): Momentum Transfer in Boundary Layers. - Hemisphere Publishing Corp., McGraw-Hill.
• Cramer K.R. and Pai S.I. (1973): Magnetofluid Dynamics for Engineers and Applied Physicsts - Scripta Publishing Company, Mc Graw-Hill.
• Elbashbeshy E.M.A. (1996): Heat and mass transfer along a vertical plate in the presence of a magnetic field. - Indian. J. Pure Appl. Math., vol.27, No.6, pp.621-631.
• Keller H.B. (1968): Numerical Methods For Two-Point Boundary Value Problems. - Ginn-Blaisdell, Waltham, Mass.
• Ostrach S. (1953): New aspects of natural-convection heat transfer. - Trans. ASME, vol.75, pp.1287-1290.
• Pohlhausen E. (1921): Der warmeaustrausch zwischen festen korpern und flussigkeiten mit kleiner reibung und kleiner warmeleitung. - ZAMM, vol.1, pp.115-121.
• Rahman M.M and Sattar M.A. (2006): MHD convective flow of a micropolar fluid past a continuously moving vertical porous plate in the presence of heat generation/absorption. - ASME Journal of Heat Transfer, vol.128, No.2, pp.142-152.
• Tak S.S. and Rohit Kumar Gehlot (2000): Effects of suction on heat and momentum transfer along a vertical plate in presence of transverse magnetic field. - Indian Journal of Engineering and Materials Sciences, vol.7, pp.136-140.
• Tak S.S. and Rohit Kumar Gehlot (2001): Viscous heating in free convection along a plate in presence of magnetic field. - Indian Journal of Engineering and Materials Sciences, vol.8, pp.347-351.
• Tak S.S. and Rohit Kumar Gehlot (2008): Numerical Solution of free convection flow along a vertical plate with heat flux in presence of transverse magnetic field. - Ultra Scientist of Physical Sciences, vol.20, No.20(M), pp.539-544.
• Takhar H.S., Gorla R.S.R. and Soundalgerakar V.M. (1996): Radiation effects on MHD free convection flow of a radiating gas past a semi-infinite vertical plate. - Int. J. Num. Methods for Heat and Fluid Flow, vol.16, pp.77-83.