The Effect of a Salinity Gradient on the Instability of Natural Convection in a Vertical Fluid Layer
Abstract
The effect of a salinity gradient on the instability of natural convection in a vertical fluid layer between two parallel plates is investigated theoretically. Temperatures of the two plates are different by 2T_{0} and both a stable temperature gradient, β>0, and an unstable salinity gradient, β_{s}>0, are present in the vertical direction. The stability is investigated for various values of β and β_{s} in the case of the Prandtl number P_{r}{=}7 and the Schmidt number S_{c}{=}700, which corresponds to weak salt water. It is found that the stationary mode dominates the onset of instability if both β and β_{s} are moderate, otherwise the travelling mode governs it.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 October 1985
 DOI:
 10.1143/JPSJ.54.3747
 Bibcode:
 1985JPSJ...54.3747Y
 Keywords:

 Convective Flow;
 Free Convection;
 Parallel Plates;
 Salinity;
 Eigenvalues;
 Grashof Number;
 Prandtl Number;
 Schmidt Number;
 Temperature Profiles;
 Fluid Mechanics and Heat Transfer