中文摘要：

地球大气运动同时满足牛顿第二定律与热力学第一定律，利用大气动力与热力方程对热力与动力变量的联系，直接将变形处理后的大气运动方程（涡度方程）与热力学方程结合起来，导出了显式包含热力与动力作用的全型垂直涡度倾向方程。

英文摘要：

Atmospheric motion abides by second law of Newton and first law of thermodynamics. The dynamic and thermal variables are related to each other by thermodynamic equation. Another expression of the complete form of vertical voticity tendency equation that includes thermal and dynamic effects was deduced from the dynamical and thermodynamic equations. Based on this equation, we are not only able to diagnose the effects of dynamic forcing on evolution of vertical vorticity,but also thermal forcing.