The nonlinear asymmetric Kelvin-Helmholtz stability of the cylindrical interface between the vapor and liquid phases of a °uid is studied when the phases are enclosed between two cylindri- cal surfaces coaxial with the interface, and when there is mass and heat transfer across the inter- face. The method of multiple time expansion is used for the investigation. The evolution of am- plitude is shown to be governed by a nonlinear ¯rst order di®erential equation. The stability cri- terion is discussed, and the region of stability is displayed graphically. Also investigated in this paper is the viscous linear potential °ow.
                                
                                
                                    
                                    Kelvin-Helmholtz stability, Mass and heat Transfer, Cylindrical °ow.0
                                
                                
                                
                                
                                    
                                        
                                        
                                        
                                        
                                            
                                                
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