BAROCLINIC INSTABILITY OF THE TYPE OF SELF-ORGANIZATION IN WESTERLY ZONAL LOW

摘要

The paper is a continuation of that [1], in which considerations on the barotropic stability of the vesterly, zonal flow were presented. In this paper the modern thermodynamics of processes occuring far from the equilibrium, formulated by I. Prigogine and P. Glansdorff, has been used for investigations of the atmospheric, baroclinic instability of the westerly zonal flow. These are instabilities of the type of self-organization. To investigate these instabilities, the method of the Lyapunov function has been applied. As the Lyapunov function the so-called excess entropy has been assumed. In the introduction the range of most of investigations on the stability of the stationary, zonal flow is presented. It is confirmed there that investigations, which allow us to establish the threshold parameters for the zonal instabilities, were mainly performed until now. It concerns the barotropic, baroclinic and mixed instabilities of the zonal flows. In the second section the outline of the classical thermodynamics of the quasi-equilibrated processes is presented and on its background, the criteria of the local thermodynamic equilibrium and the stability of the non-equilibrated processes of arbitrary intensity are formulated. In the third section, utilising the general formulations presented in the second one the set of conditions having the form of some constraints for the fields of perturbations are obtained. Under these conditions the production of the excess entropy in the investigated area is negative. These investigations have been performed for the baroclinic zonal flow in the classical formulation. According to the interpretation resulting from the theory of information, it means the increase of the level of organization in the investigated area or the decrease of the level of its indefiniteness. This is the instability of the type of self-organization. For the investigated zonal flow the constraints for the field of velocity, its deformations and for the gradients of perturbations have been obtained. These results have been compared with those for barotropic instability presented in [1], Some of them are new ones. The program of further investigations of instabilities of the type of self-organization has been formulated.