Application of Linear Thermodynamics to the Atmospheric System. Part Ⅰ: Linear Phenomenological Relations and Thermodynamic Property of the Atmospheric System

A series of thermodynamic property of the atmospheric system can be deducted, in accordance with re striction of the general thermodynamics theory or other nature principle to saddle on the phenomenological relation. The relationship between the turbulence transport coefficients of K turbulence close theory and the phenomenological coefficients are deduced using the linear thermodynamics of nonequilibrium state. A cross coupling between the heat transportation and the vapor transportation in the atmospheric system is proved. Even a turbulence intensity theorem is demonstrated. The distributional heterogeneity of velocity and potential temperature is the turbulence fountainhead and the turbulence intensity is proportional to the scalar product of velocity and potential temperature gradient in the non-compressed and isotropy turbulence atmosphere. More about an atmospheric vortex theorem is demonstrated. The shear of potential tem perature leads to a vortex movement or sundry circumfluence movement and the velocity vorticity equals to the vector product of velocity and potential temperature gradient. An application foreground of the linear thermodynamics is exhibited to the atmosphere system.