STABILITY ANALYSIS OF RIVLIN-ERICKSEN FLUID FILM WITH HEAT TRANSFER THROUGH AN ANNULAR POROUS MEDIUM

Abstract

A theoretical study was conducted to analyze the stability of the interface between viscous and viscoelastic fluids, considering heat and mass transfer between the phases. The study used Rivlin-Ericksen's model for viscoelastic liquid and an irrotational flow theory to analyze the problem. A rigid cylinder surrounded the annular region of the viscoelastic liquid and viscous fluid. The viscous fluid was located in the inner region, while the viscoelastic liquid was in the outer region. The analysis did not take into account tangential stress, considered viscosity through normal stress balance, and did not impose no-slip conditions at the two cylindrical rigid boundaries. The results indicate that the interface stability is enhanced under porous conditions due to the heat/mass transfer. A medium with higher permeability stabilizes the interface, while a medium with higher porosity negatively affects the viscoelastic interface. The study compared the stabilizing characteristics of the Rivlin-Ericksen fluid interface under a nonporous and porous medium and found that the interface is more stable under porous media.