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

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    • 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



      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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