Mechanism of stability of the shear flow of a two-layer system of viscous liquids (Q2839400)

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scientific article; zbMATH DE number 6184731
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Mechanism of stability of the shear flow of a two-layer system of viscous liquids
scientific article; zbMATH DE number 6184731

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    Mechanism of stability of the shear flow of a two-layer system of viscous liquids (English)
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    5 July 2013
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    two-layers flow
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    Newtonian liquids
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    instability development
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    asymptotic solutions
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    inertial displacement
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    A numerical modeling of instability development in a wide range of wavelengths is performed for a simple shear flow of a two-layers system of Newtonian liquids. The conditions of transition between two asymptotic solutions corresponding to the long- and short-wavelength perturbations, are found. The inertial displacement of the flow velocity perturbation whirls is proportional to the perturbation amplitude growth rate at the layers interface.
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