Research Journal of Engineering and Technology

  • Year: 2015
  • Volume: 6
  • Issue: 1

Upper limits to the Linear Growth Rate in Triply Diffusive Convection

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 triply diffusive fluid layer (with one of the component as heat with diffusivity κ) must lie inside a semicircle in the right half of the (pr,pi) -plane whose centre is at the origin and radius equals where R and R1 are the thermal Rayleigh number and concentration Rayleigh number with diffusivities κ and κ_1. Further, it is proved that this result is uniformly valid for quite general nature of the bounding surfaces.

Keywords

Triply diffusive convection, Oscillatory motions, complex growth rate, Concentration Rayleigh number