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2 International Journal of Applied Mechanics and Engineering

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Non-Darcy natural convection flow along a vertical wavy plate embedded in a Non-Newtonian fluid saturated porous medium

Hady F. M., Mohamed R. A., Mahdy A.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 1

91-100

The present analysis investigates the non-Darcian free convection of a non-Newtonian fluid from a vertical sinusoidal wavy plate embedded in a homogenous porous medium with constant wall temperature. After a suitable coordinate transformation to reduce the complexity of the goveming boundary-layer equations, the resulting nonlinear, coupled differential equations were solved with the Runge-Kutta integration scheme. The Darcy-Rayleigh number is considered to be very large. The power-law model is used for non-Newtonian fluids with exponent n < 1 for pseudoplastic fluids; n= 1 for Newtonian fluids and n > 1 for dilatant fluids. The effects of the Grashof number Gr * , the wavy geometry, and the non-Newtonian nature of the fluids on the local and global rates of heat transfer are discussed. An increase in the power-law index leads to a greater fluctuation of the local Nusselt number and increasses the global rate of heat transfer. An increase in the Grashof num ber leads to a smaller fluctuation of the local heat transfer and increasing the boundary layer thickness, hence decreasing the global rate ofheat transfer.

MHD boundary layer flow and heat transfer over a continuous moving wavy surface in porous media

Hady F. M., Mohamed R. A., Mahdy A.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 2

353-368

Non-similarity solutions for the boundary layer flow and heat transfer on a continuous moving wavy porous surface immersed in a quiescent electrically conducting fluid-saturated porous medium with a constant transverse magnetic field are obtained. Results for the velocity [...] and temperature O fields are presented, as well as the results for the skin-friction coefficient, C f and the local Nusselt number, Nu . These numerical results are given for different values of the amplitude of the wavy surface a, magnetic parameter M, the inverse Darcy number Da -1 , and Prandtl number Pr, then these results are illustrated graphically.