• DOUBLE DIFFUSIVE CONVECTIVE INSTABILITY DRIVEN BY THERMAL AND SOLUTAL GRADIENTS IN AN INCLINED SLOT

Abstract

The stability of double diffusive buoyancy driven convection in a tilted slot is investigated using linear stability analysis. Using the perturbation method with angle of inclination as perturbation parameter the critical Rayleigh number and the wave number at the critical point are determined. The results yield a unique flow pattern and the flow sets in becomes unstable when the temperature and salinity differences exceeds certain critical values. Some similarity can be noted between this problem and the problem when the planes are exactly horizontal and in fact some of the results are almost identical. However, owing to the existence of disturbances due to the inclined surfaces the system imparts a definite structure to the undisturbed system. The graphs presented for the velocity, temperature and solutal distributions for various parameter values will determine results in the secondary flow pattern and convection results in the form transverse rolls problem under investigation.