Study of A Time Dependent Double -Diffusive Salinity Problem

Abstract

The time-dependent, double diffusive stability problem for a horizontal layer of salty water bounded by two rigid isothermal surfaces is analyzed using a linear perturbation technique. Initially, the layer is subjected to zero temperature and salinity gradients. At time t = 0, uniform step increases in both temperature and salinity are imposed at the bottom surface while the top surface is impermeable to diffusion of salt. Stability results defined by the critical thermal Grashof number as a function of system parameters namely: solute Grashof number, Prandtl number, Schmidt number, time and wave size are presented graphically.