Abstract
The long wave stability of core-annular flow of power-law fluids with an axial pressure gradient is investi- gated at low Reynolds number. The interface between the two fluids is populated with an insoluble surfactant. The an- alytic solution for the growth rate of perturbation is obtained with long wave approximation. We are mainly concerned with the effects of shear-thinning/thickening property and in- terfacial surfactant on the flow stability. The results show that the influence of shear-thinning/thickening property ac- counts to the change of the capillary number. For a clean interface, the shear-thinning property enhances the capillary instability when the interface is close to the pipe wall. The converse is true when the interface is close to the pipe cen- terline. For shear-thickening fluids, the situation is reversed. When the interface is close to the pipe centerline, the capil- lary instability can be restrained due to the influence of sur- factant. A parameter set can be found under which the flow is linearly stable.
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