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1 International Journal of Applied Mechanics and Engineering

1 2005

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Flow past an impermeable sphere embedded in a porous medium with Brinkmann model

Rudraiah N., Chandrashekhar D. V.

International Journal of Applied Mechanics and Engineering

2005

Vol. 10, no 1

145-158

The two-dimensional steady incompressible flow past an impermeable sphere embedded in a porous medium is studied analytically using the Brinkmann model- specifying a uniform shear away from the sphere. A closed form solution is obtained for the governing equations. It is found that the increase in the permeability of a porous medium and viscosity ratio is to increase the thickness of the Brinkman boundary layer. The analysis is also concerned with the explanation of the velocity overshoot behavior. The effects of shear stress and the separation parameter are also discussed. The streamlines are drawn for different values of the porous parameter and the viscosity ratio and some important conclusions are drawn.