Stability characteristics of the cylindrical power-law viscoelastic fluid interface with heat transfer

Abstract

The analytical study of heat and mass transport at the viscous fluid-viscoelastic fluid is carried out using the irrotational flow theory of viscous-viscoelastic fluids. The interface of viscous-viscoelastic fluid experiences capillary instability. The viscoelastic fluid is taken as power-law fluid and both asymmetric and axisymmetric disturbances are analyzed. The fluids are enclosed in an annular region bounded by two rigid concentric cylinders. The non-dimensional dispersion relation depends on the capillary number, Weber number, power-law index, heat transfer coefficient, viscosity ratio of fluids, etc. The transfer of heat and mass has a significant impact on the stability of the interface. It is also found that the viscosity of viscous fluid delays instability.