徐国宾,练继建.流体最小熵产生原理与最小能耗率原理(Ⅰ)[J].水利学报,2003,34(5):0035-0040 |
流体最小熵产生原理与最小能耗率原理(Ⅰ) |
Theories of the minimum rate of energy dissipation and the minimum entropy production of flow (Ⅰ) |
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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 |
英文关键词: river flows open system theory of minimum entropy production theory of minimum rate of energy dissipation non-equilibrium thermodynamics |
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中文摘要: |
最小能耗率的研究已有100多年的历史了,至今最有代表性和影响力的研究成果要数美籍华裔学者杨志达(Yang C. T.)等人提出的最小能耗率原理。作者通过分析研究,指出杨志达提出的最小能耗率原理存在着某些缺陷,并基于非平衡态热力学的最小熵产生原理重新推导了流体最小能耗率原理的数学表达式。论文分Ⅰ、Ⅱ两篇,这是第Ⅰ篇。本篇一是对最小能耗率原理的研究进行了简要回顾,着重指出杨志达的最小能耗率原理存在的缺陷;二是介绍了最小熵产生原理,目的是为推导流体最小能耗率原理的数学表达式提供理论基础。 |
英文摘要: |
The theory of minimum rate of energy dissipation has attracted resercher’s attention since it was proposed in the middle of the 19th century. It was not until the early 1970s that C. T. Yang and others made significant progress in this direction. The authors analyzed C. T. Yang’s theory of minimum rate of energy dissipation and found out some imperfection. An expression of minimum rate of energy dissipation of flow was re-derived based on the theory of minimum entropy production of non-equilibrium thermodynamics. The result is presented in two parts. In the first part, the theoretical basis was presented for the mathematical derivation of minimum rate of energy dissipation. |
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