• Kelvin–Helmholtz instability of two finite-thickness fluid layers with continuous density and velocity profiles

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      https://www.ias.ac.in/article/fulltext/joaa/039/03/0039

    • Keywords

       

      Kelvin–Helmholtz; finite-thickness; density; velocity gradients.

    • 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 lightfluid 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 functionof the velocity and density gradients capitulates to the effect of velocity gradient at the large values of $(r)$.

    • Author Affiliations

       

      G. A. HOSHOUDY1 HUSEYIN CAVUS2

      1. Department of Applied Mathematics, Faculty of Science, South Valley University, Kena 83523, Egypt.
      2. Physics Department, Arts and Science Faculty, Canakkale Onsekiz Mart University, 17100 Canakkale, Turkey.
    • Dates

       
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