Viscous correction for the viscous potential flow analysis of capillary instability with heat and mass transfer

摘要

The linear analysis of capillary instability of the cylindrical interface between two viscous, incompressible fluids confined in a concentric annulus in the presence of heat and mass transfer is carried out. The viscous correction for the viscous potential flow theory is used for the investigation. Both fluids are taken as incompressible and viscous with different kinematic viscosities. To study the effect of shearing stresses, viscous pressure in the normal stress balance is included along with irrotational pressure. It is observed that heat and mass transfer has a stabilizing effect on the stability of the system and this effect enhances in the presence of irrotational shearing stresses. A comparison between viscous potential flow (VPF) solution and viscous correction for the viscous potential flow (VCVPF) is made and it is found that the VCVPF solution is more stable than the VPF solution.