Abstract
The theoretical study of Rayleigh instability (also known as capillary instability) at the interface of power-law viscoelastic liquid and inviscid gas is conducted when the interface is transferring heat and mass from one phase to another. The viscoelastic liquid and gas are confined in an annular region enclosed by two concentric cylinders. The dispersion relation based on linear stability analysis is achieved and the outcome of flow parameters on the stability of interface explains through various plots. The results indicate that system gets towards stability when more heat is transporting at the interface. It is also found that the interface that contains power-law liquid is more unstable than the interface of a Newtonian fluid.
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