Research Journal of Science and Technology

  • Year: 2017
  • Volume: 9
  • Issue: 1

On Double-Diffusive Convection in a Binary Viscoelastic Fluid Saturated Anisotropic Porous Layer

Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India

Abstract

In the present paper it is mathematically established that the linear growth rate of an arbitrary neutral or unstable oscillatory perturbation of growing amplitude in a double diffusive binary viscoelastic fluid saturated anisotropic porous layer heated from below must lie inside a semicircle in the right half of the (pr, pi)-plane whose centre is at the origin and radius equals , where RaT and RaS are the Darcy-Rayleigh number and the solute Rayleigh number respectively. Further, it is proved that this result is uniformly valid for quite general nature of the bounding surfaces.

Keywords

Double-diffusive convection, viscoelastic fluid, porous medium, complex growth rate, solute Rayleigh number