Study of rotating liquid–vapor interface with mass transfer through porous media

Abstract

Abstract In this paper, the linear analysis of the instability of the vapor–liquid interface is carried out in the region enclosed by two cylinders. The annular region is taken as porous with constant porosity and permeability. Both the cylinders are rotating with different angular velocities. The vapor is taken in the inner part, the liquid lies in the outer region and the transfer of heat and mass is allowed at the interface. It is also assumed that both the fluids are viscous and incompressible. Here, the normal mode technique is used to detect the growth of perturbations, and the potential flow theory of viscous fluids is employed. The quadratic relationship is achieved in this paper using the Darcy-Brinkman model. It is noticed that when the inner cylinder is fixed and the outer cylinder is rotating, the system moves towards stability, but when the outer cylinder is fixed and the inner cylinder is rotating, the system gets destabilized. The vapor–liquid interface is more stable in a porous medium.