Kelvin-Helmholtz instability of swirling annular layer with heat and mass transfer

The linear Kelvin-Helmholtz instability in a cylindrical geometry with free swirl is examined.The physical framework comprises of liquid vapor in the inner region while outer region contains liquid. The interface permits heat and mass transfer between two fluid layers. We utilize viscous potential flow concept to study the viscous effects at the interface. To investigate the stability of interface, we use normal-mode technique and a quartic equation representing growth of disturbance waves has been derived. A critical value of relative velocity at the interface is calculated and it is shown that the system is stable if relative velocity is greater than the critical value of relative velocity. It is found that the swirling effect resists the growth of instability.