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
Published online: 13 August 2002
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.
PACS: 47.65. – Magnetohydrodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002