Symmetric Stability of Rotation and Boussinesq Fluid in Bounded Domain by Using Normal Mode Method

The stability properties of the equilibria with constant wind shear (both in vertical and horizontal direction) and the non-coastaut static stability in bounded, inviscid and adiabatic atmosphere were investigated by using normal mode method. The results show that the stability property is determined by Richardson number Ri as well as the ab?solute vorticity. When the absolute vorticity F is positive, i.e. F > 0, (where ) the sufficient condition for symmetric stability is and when , the equilibria are unstable for all possible normal mode disturb?ances. In addition, the most unstable growth rate was also obtained here.