Nonlinear Instability of Cylindrical Interface with Mass and Heat Transfer in Magnetic Fluids

Abstract

The nonlinear Rayleigh‐Taylor stability of the cylindrical interface between the vapor and liquid phases of a magnetic fluid is studied when the phases are enclosed between two cylindrical surfaces coaxial with the interface, and when there is mass and heat transfer across the interface. The method of multiple time scale expansion is used for the investigation. A simple nondimensional parameter is found to characterize the stability of the system. Using this parameter, the region of stability is displayed graphically.

Nonlinear Asymmetric Kelvin-Helmholtz Instability Of Cylindrical Flow With Mass And Heat Transfer And The Viscous Linear Analysis

“…The nonlinear problem of Rayleigh-Taylor instability of a system in a cylindrical geometry is, however, studied by the present author in (Lee [5][6]).…”