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

Hoshoudy G. A. , ÇAVUŞ H.

JOURNAL OF ASTROPHYSICS AND ASTRONOMY, vol.39, no.3, 2018 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.1007/s12036-018-9527-4
  • Journal Indexes: Science Citation Index Expanded, Scopus


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).