TY - JOUR
TI - Thermosolutal instability in a horizontal fluid layer affected by rotation
AU - Abdullah Abdullah Ahmad
AU - Al-Ahmari Sultana Dafer
AU - Chamkha Ali J
JN - Thermal Science
PY - 2019
VL - 23
IS - 2
SP - 1139
EP - 1149
PT - Article
AB - Thermosolutal convective instability in a horizontal layer affected by  rotation is studied. Stationary convection and over-stability cases are  considered for different boundary conditions. Analytical solutions were  obtained when both boundaries are free and numerical results were obtained  for the cases of free and rigid boundaries. The numerical computations of  this problem were performed using the method of expansion of Chebyshev  polynomials. This method is better suited to the solution of hydrodynamic  stability problems than expansions in other sets of orthogonal polynomials.  This method not only has high accuracy but also allows stationary and  over-stable modes to be treated simultaneously, which is important if  perchance the critical eigenvalue flits between the different modes in  response to changing parameter values. The results obtained show that the  effect of both solute concentration and rotation is to stabilize the system  for stationary convection case and for the over-stability case when both  boundaries are free. However when both boundaries are rigid some unexpected  behavior are obtained in the case of over-stability.