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, cilt.39, sa.3, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Konu: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s12036-018-9527-4


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).