
Summary: The nonlinear Rayleigh-Taylor stability of the cylindrical interface between the vapor and liquid phases of a fluid is studied when the phases are enclosed between two cylindrical surfaces coaxial with the interface, and when there is a mass and heat transfer across the interface. The method of multiple expansions is used for the investigation. The evolution of amplitude is shown be governed by a nonlinear Ginzburg-Landau equation. The various stability criteria are discussed, and the region of stability is displayed graphically.
Ginzburg-Landau equation, stability criteria, Heat and mass transfer, heat flow, method of multiple expansions, Nonlinear effects in hydrodynamic stability, Interfacial stability and instability in hydrodynamic stability, Stefan problems, phase changes, etc.
Ginzburg-Landau equation, stability criteria, Heat and mass transfer, heat flow, method of multiple expansions, Nonlinear effects in hydrodynamic stability, Interfacial stability and instability in hydrodynamic stability, Stefan problems, phase changes, etc.
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