D. Y. Hsieh and F. Chen, “A Nonlinear Study of the Kelvin-Helmholtz Instability,” Physics of Fluids, Vol. 28, 1985, p. 1253. doi:10.1063/1.865008

has been cited by the following article:

• TITLE: Kelvin-Helmholtz Instability in a Fluid Layer Bounded Above by a Porous Layer and Below by a Rigid Surface in Presence of Magnetic Field

  AUTHORS: Krishna B. Chavaraddi, Nagaraj N. Katagi, Vishwanath B. Awati

  KEYWORDS: KHI; Magnetic Field; BJ-Slip Condition; Porous Layer; Dispersion Relation

  JOURNAL NAME: Applied Mathematics, Vol.3 No.6, June 26, 2012

  ABSTRACT: We study the stability of an interface between two fluids of different densities flowing parallel to each other in the presence of a transverse magnetic field. A simple theory based on fully developed flow approximations is used to de-rive the dispersion relation for the growth rate of KHI. We replace the effect of boundary layer with Beavers and Joseph slip condition. The dispersion relation is derived using suitable boundary and surface conditions and results are discussed graphically. The magnetic field is found to be stabilizing and the influence of the various parameters of the problem on the interface stability is thoroughly analyzed. These are favorable to control the surface instabilities in many practical applications discussed in this paper.