On Double-Diffusive Convection in a Binary Viscoelastic Fluid Saturated Anisotropic Porous Layer Prakash Jyoti*, Kumari Kultaran Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India *Corresponding Author E-mail: jpsmaths67@gmail.com
Online published on 12 January, 2017. 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. Top Keywords Double-diffusive convection, viscoelastic fluid, porous medium, complex growth rate, solute Rayleigh number. Top |