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Nonlinear Instability of Cylindrical Interface with Mass and Heat Transfer in Magnetic Fluids
Author(s) -
Lee D.S.
Publication year - 2002
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200208)82:8<567::aid-zamm567>3.0.co;2-a
Subject(s) - coaxial , instability , mechanics , nonlinear system , rayleigh–taylor instability , heat transfer , mass transfer , interface (matter) , materials science , rayleigh scattering , thermodynamics , physics , optics , mechanical engineering , engineering , bubble , quantum mechanics , maximum bubble pressure method
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.