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The stability of two-layer flow of viscoelastic fluids down an inclined plane is studied. It is found that elasticity of liquids plays an equally important role in stabilizing and destabilizing the flow for the interfacial mode of disturbances. This elasticity mainly destabilizes the flow for the free-surface mode of disturbance. The stabilizing effect of the elasticity is a feature of discretely stratified flow in which the instability of the flow is governed by long surface or interfacial waves.
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Chin-Hsiu Li (1970) studied this question.
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