The instability of water-mud interface in viscous two-layer flow with large viscosity contrast |
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Authors: | Jiebin Liu Jifu Zhou |
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Affiliation: | Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China |
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Abstract: | The temporal instability of parallel viscous two-phase mixing layers is extended to current-fluid mud by considering a composite error function velocity profile. The influence of viscosity ratio, Reynolds number, and Froude number on the instability of the system are discussed and a new phenomenon never discussed is investigated based on our numerical results. It is shown that viscosity can enlarge the unstable wave number range, cause new instability modes, and certainly reduce the growth rate of Kelvin—Helmholtz (K—H) instability. |
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Keywords: | fluid mud Kelvin—Helmholtz (K-H) instability large viscosity contrast Chebyshev collocation algorithm |
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