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2 International Journal of Applied Mechanics and Engineering

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Rotation of a heated impervious disk in a second grade fluid bounded by a porous medium

Srivastava A. C., Saxena P.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 2

523-538

The flow and the heat transfer due to the rotation of a disk at a small distance from a porous medium of finite thickness have been discussed when the entire space between the disk and the bottom of the porous medium is filled with a second grade fluid. The disk and the bottom of the porous medium are maintained at constant temperatures; the temperature of the disk being higher. It is observed that with the increase of the Darcy number, all the components of velocity and temperature decrease in the entire region but the rate of heat transfer from the interface increases. With the increase of the non-Newtonian parameter (i) rotational velocity increases but radial and axial velocity components decrease in the entire region, (ii) the temperature increases in the entire region, (iii) the rate of heat transfer from the interface increases. Results of this paper have applications in engineering, biomedical and ground water problems.

Mass diffusion in a binary mixture of viscous fluids confined between a rotating disk and a porous medium of finite thickness

Srivastava A. C., Srivastava P. K.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 4

1045-1057

The diffusion effect in a binary mixture of incompressible viscous fluids confined between a rotating disk and a porous medium of finite thickness has been discussed. It is assumed that the lighter component is present in a small quantity. It is found that the pressure gradient created by the rotation of the disk in the free flow region separates the two components in the binary mixture in such a way that the concentration ratio of the lighter component decreases in both the regions. The concentration ratio of the lighter component in the porous medium is the maximum at the interface and then decreases sharply to zero indicating the boundary layer formation at the interface. This separative effect increases with the increase of the Darcy number, i.e., with the decrease of the permeability of the porous medium. These results are applicable for dispersion of fertilizers or other chemicals in an agricultural field.