Abstract
The effect of density and velocity gradients on the Kelvin–Helmholtz instability (KHI) of two superimposed finite-thickness fluid layers are analytically investigated. The linear normalized frequency and normalized growth rate are presented. Then, their behavior as a function of the density ratio of the light fluid to the heavy one (r) was analyzed and compared to the case of two semi-infinite fluid layers. The results showed that the values of normalized frequency of KHI for two finite-thickness fluid layers are less than their counterparts for two semi-infinite fluid layers. The behavior of normalized growth rate as a function of the velocity and density gradients capitulates to the effect of velocity gradient at the large values of (r).
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The authors would like to thank the reviewers for their thorough review. The authors highly appreciate the reviewers’ comments and suggestions which significantly contributed to improving the quality of the publication.
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Hoshoudy, G.A., Cavus, H. Kelvin–Helmholtz instability of two finite-thickness fluid layers with continuous density and velocity profiles. J Astrophys Astron 39, 39 (2018). https://doi.org/10.1007/s12036-018-9527-4
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DOI: https://doi.org/10.1007/s12036-018-9527-4