基于广义流和广义力的河流能耗率推导

Derivation of Energy Dissipation Rate of River Based on Generalized Flux and Generalized Force

基于非平衡态热力学理论中局域熵产生和能耗函数的关系,以及能耗函数可以写作不可逆过程中每个广义流与其相应的广义力的乘积之和,构造了河流的广义力和广义流,推导出河流的能耗函数数学表达式.通过对能耗函数做体积分,进而推导出河流的能耗率.从而避开使用众多复杂的非平衡态热力学和高等流体力学公式,过程简便且易于理解.

Based on non-equilibrium thermodynamics,local entropy production is a function of energy dissipation function,and the latter can be written as the sum of the product of the generalized forces and the corresponding gen-eralized flux of an irreversible process.In this way,once the generalized forces and the corresponding generalized flux of river are formed,the formula of energy dissipation function of river can be obtained.Energy dissipation rate of river system is obtained by volume integral for energy dissipation function.In the entire derivation,the use of many complex equations of non-equilibrium thermodynamics and advanced fluid mechanics can be avoided,making it simple and easy to understand.