Temporal instability of Walter’s B viscoelastic fluid film

Abstract

The stability of an interface formed by Walter’ B viscoelastic liquid and viscous incompressible fluid is examined. These fluids lie in an annular region enclosed by two cylindrical shapes rigid boundaries. The surface tension effect is considered at the interface and therefore, the interface obeys capillary instability. The potential flow theory of viscoelastic-viscous fluids is utilized to compute the solution of modeled equations and the normal mode technique is enforced for the calculation of perturbation’s growth. A two-degree algebraic equation is established to obtain the stability/instability criterion. We found that the perturbations grow slower at the interface containing Walter’s B viscoelastic fluid than the corresponding Newtonian fluid.