Abstract
The interface stability of two stratified power law fluids in plane Poiseuille flow is considered. Stability diagrams are given in terms of viscosity and depth ratios as a function of power law indices. The work of previous investigators for two Newtonian and second-order fluids has been generalized and presented in a similar fashion. It is found that dependence of viscosity on shear rate has a pronounced effect on the interfacial stability regime in a more drastic manner than of an effective viscosity change. Furthermore, it is found that for power law fluids the effect of shear thinning viscosity in the less viscous fluid mainly affects the stability region for viscosity ratios less than unity, while for viscosity ratios greater than unity shear thinning in both layers affects the stability regime, particularly at small depth ratios.
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