徐国宾,练继建.流体最小熵产生原理与最小能耗率原理(Ⅱ)[J].水利学报,2003,34(6): |
流体最小熵产生原理与最小能耗率原理(Ⅱ) |
Theories of the minimum rate of energy dissipation and the minimum entropy production of flow(Ⅱ) |
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DOI: |
中文关键词: 流体 河流 开放系统 最小能耗率原理 最小熵产生原理 非平衡态热力学 |
英文关键词: river flows open system theory of minimum entropy pro duction theory of minimum rate of energy dissipation non equilibrium thermodynamics |
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中文摘要: |
本文是“流体最小熵产生原理与最小能耗率原理”的第Ⅱ篇。在这篇中,一是阐明了最小熵产生原理等价于最小能耗率原理;二是基于最小熵产生原理,利用流体力学的3个基本方程,即连续方程、运动方程和能量方程以及热力学的吉布斯公式,推导出了流体最小能耗率原理数学表达式。该式适用于:(1)具有稳定边界的任何开放的流体系统,如河流;(2)恒定非均匀流或均匀流;(3)层流或紊流。 |
英文摘要: |
This paper is the second part of the work.The authors revealed that the minimum entropy production was equivalent to the minimum rate of energy dissipation.By adopting the equations of continuity,motion and energy in fluid mechanics and the Gibbs function in thermoldynamics,an expression of minimum rate of energy dissipation of flow was derived based on the theory of minimum entropy production.This expression can be applied for open flow system with stationary boundary,such as river steady uniform and non uniform flows and laminar and turbulent flows. |
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