On the Instability of Streaming Walters’ B/ elastico-Viscous Fluids in Porous Medium in Presence of ‘Effective Interfacial Tension

The ‘effective interfacial tension’ effect on the instability of plane interface between two uniform, superposed and streaming Walters’ B/ elastico-viscous fluids in porous medium is considered. In the absence of ‘effective interfacial tension’ the system can be stable or unstable for the potentially stable configuration in contrast to the Rivlin-Ericksen elastico-viscous fluid or Newtonian viscous fluid and perturbations transverse to the direction of streaming are found to be unaffected by the presence of streaming if the perturbations in the direction of streaming are ignored, whereas for perturbations in all other direction, there exists instability for a certain wave number range. The ‘effective interfacial tension’ is able to suppress this Kelvin-Helmholtz instability for small wavelength perturbations, the medium porosity reduces the stability range given in terms of a difference in streaming velocity.