Mixed radiation-convection boundary layer flow of an opically dense fluid along a vertical flat plate in a non-Darcy porous medium

• Autorzy: Takhar H. S. , Beg O. A. , Chamkha A. J. , Filip D. , Pop I.
• Języki publikacji: EN

Abstrakty

EN

The combined effects of thermal radiation flux, thermal conductivity, Reynolds number and non-Darcian (Forcheimmer drag and Brinkman boundary resistance) body forces on steady laminar boundary layer flow along a vertical surface in an idealized geological porous medium are investigated. The classical Rosseland one-dimensional diffusion approximation is implemented in the energy equation to avoid solving the general integro-differential equation for radiative transfer. Pseudo-similarity transformations are invoked and the resulting highly coupled and non-linear set of ordinary differential equations for momentum and energy equations are solved numerically using a well-tested and highly accurate shooting Runge-Kutta quadrature with a Merson-Gill algorithm. It is shown that the dimensionless velocity functions generally increase with rising radiation parameter and the Prandtl number, and the dimensionless temperature functions decrease as the non-Darcian body forces decrease. It is also shown that the dimensionless temperature functions rise in magnitude with rising radiation parameter and the Prandtl number but are depressed by lowered non-Darcian resistance parameter and rising Reynolds number. Generally radiation is seen to substantially boost the overall heat transfer.

Słowa kluczowe

EN

porous medium; non-Darcy model; thermal radiation; mixed convection; numerical results

PL

wytrzymałość materiałów; promieniowanie cieplne; konwekcja mieszana; materiał porowaty

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2003
• Tom: Vol. 8, no 3
• Strony: 483--496
• Opis fizyczny: Bibliogr. 36 poz., wykr.

Twórcy

autor

Takhar H. S.

• Department of Engineering, Manchester Metropolitan University Manchester M1 5GD, U.K.

autor

Beg O. A.

• Fire Engineering Science, LCB North Street, Leeds, LS2, U.K.

autor

Chamkha A. J.

• Department of Mechanical Engineering, Kuwait University Safat 13060, KUWAIT

autor

Filip D.

• Faculty of Mathematics and Computer Science, University of Cluj R-3400 Cluj, CP 253, ROMANIA

autor

Pop I.

• Faculty of Mathematics and Computer Science, University of Cluj R-3400 Cluj, CP 253, ROMANIA

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