Eur. Phys. J. B 28, 495-503 (2002)
https://doi.org/10.1140/epjb/e2002-00253-3

Nonlinear stability in magnetic fluids of cylindrical interface with mass and heat transfer

Department of Mathematics, College of Education, Konkuk University 1, Hwayang-Dong, Kwangjin-Gu, Seoul, Korea

Received: 18 January 2002
Published online: 13 August 2002

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 scale expansion is used for the investigation. The evolution of amplitude is shown be governed by a nonlinear Ginzburg-Landau equation. The various stability criteria is discussed, and the region of stability is displayed graphically.