Further results on stability boundaries and a weak nonlinear analysis for double diffusive convection with rotation

Abstract

We review some results for linear stability when a rotating doubly diffusive layer is studied. Some additional stability boundaries for 'salt-finger' and diffusive convection are predicted. Using the theory of self adjoint operators, the variation of the critical eigenvalue with physical parameters is examined at steady conditions. A weak non-linear analysis that uses a truncated Fourier series representation provides concentration and temperature profiles, and shows that heat and mass transport increase with Rayleigh number but decrease with Prandtl number diffusivity ratio and Taylor number.