INTERFACIAL INSTABILITY ANALYSIS OF VISCOUS-VISCOELASTIC FLUID INTERFACE IN AN ANNULAR POROUS MEDIUM

Abstract

The transport of mass and heat from one fluid to another fluid in a porous medium has numerous applications such as film boiling and heat exchangers. This paper reports the results of linear stability analysis of the capillary instability of viscoelastic liquid-viscous gas interface with heat and mass transfer. The viscoelastic liquid and viscous gas lie in an annular region enclosed by two rigid cylinders. The annular region is a saturated porous medium with constant porosity and permeability. The analysis is performed using the potential flow theory for viscoelastic liquid satisfying the Oldroyd-B model. A third-order polynomial in terms of growth rate is achieved and analyzed numerically. It is observed that porous media slows the growth of perturbations, but an increase in porosity makes the interface unstable. The interface goes towards stability when the transfer of heat-mass increases.