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1 International Journal of Applied Mechanics and Engineering

1 2003

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Stability of superposed couple-stress fluids in the presence of suspended particles in porous medium

Sunil, Sharma R. C., Chandel Rajender Singh

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 4

693-704

The stability of two superposed couple-stress fluids of uniform densities, permeated with suspended particles, in a porous medium is considered. A stability analysis is carried out and for mathematical simplicity we consider two highly viscous fluids of equal kinematic viscosities and equal couple-stress kinematic viscosities. The system is found to be stable for a potentially stable configuration under certain condition whereas a potentially unstable configuration remains unstable for the couple-stress fluid permeated with suspended particles in a porous medium. The growth rates of perturbation are found to be both increasing (for some wave numbers) and decreasing (for other wave numbers) with the increase in medium permeability.