Hoshoudy, G. A.Cavus, Huseyin2025-01-272025-01-2720180250-63350973-7758https://doi.org/10.1007/s12036-018-9527-4https://hdl.handle.net/20.500.12428/26038The 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).eninfo:eu-repo/semantics/closedAccessKelvinHelmholtzfinite-thicknessdensityvelocity gradientsKelvin-Helmholtz instability of two finite-thickness fluid layers with continuous density and velocity profilesArticle39310.1007/s12036-018-9527-4Q4WOS:0004357528000012-s2.0-85048731347Q3