| 湍流输送的非线性热力学性质 |
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| 引用本文： | 左洪超,胡隐樵.湍流输送的非线性热力学性质[J].地球物理学报,2005,48(6):1233-1237. |
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| 作者姓名： | 左洪超 胡隐樵 |
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| 作者单位： | 兰州大学大气科学学院，甘肃省干旱气候变化与减灾重点实验室, 兰州 730000 |
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| 基金项目： | 国家重点基础研究发展计划(2005CB422003)，国家自然科学基金重点项目(40233035)资助 |
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| 摘 要： | 湍流输送是一种热力学不可逆过程，本文利用非线性热力学研究了湍流输送的特征. 将热力学流对热力学力以平衡态作为参考态进行Taylor展开，可以得到湍流输送系数是系统宏观参量梯度的Taylor级数. 线性湍流输送系数是Reynolds湍流闭合方案的K闭合湍流输送系数；而湍流输送系数非线性项则是系统偏离热力学平衡态所造成的热力学非线性效应. 湍流输送系数这一热力学性质提供了一种热力学湍流闭合方案. 线性湍流输送系数是正定的，湍流输送只能使系统宏观参量均匀化；而在远离平衡态的热力学非线性区，可能导致湍流输送系数负黏性现象. 在最小熵产生态的条件下，热力学流对热力学力Taylor展开的各级系数间存在一种递推关系. 利用这种递推关系大大减少了由实验确定的Taylor级数的系数个数.
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| 关 键 词： | 湍流输送 不可逆过程 非线性热力学 湍流闭合 湍流输送系数 |
| 文章编号： | 0001-5733（2005）06-1233-05 |
| 收稿时间： | 2004-06-11 |
| 修稿时间： | 2004-06-112005-08-01 |
A study on nonlinear thermodynamic characteristics of turbulent transport |
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| ZUO Hong-Chao,HU Yin-Qiao.A study on nonlinear thermodynamic characteristics of turbulent transport[J].Chinese Journal of Geophysics,2005,48(6):1233-1237. |
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| Authors: | ZUO Hong-Chao HU Yin-Qiao |
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| Institution: | Key Laboratory of Arid Climatic Changing and Reducing Disaster of Gansu Province, College of Atmospheric Sciences, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | For the turbulent transport is a kind of irreversible process in thermodynamics,the nonlinear thermodynamics was applied for studying its characteristics.The turbulent transport coefficients are Taylor series of gradient of averaged variables,when the thermodynamic flows are expanded in Taylor series of the thermodynamic force in neighborhood of the reference state of the equilibrium state.And the linear term of the turbulent transport coefficient corresponds to the turbulent transport coefficient of K closure in the Reynolds turbulence closure scheme,and the nonlinear term of the turbulent transport coefficient is the nonlinear effect caused by the departure of the system from its thermodynamic equilibrium state.The linear term of the turbulent transport coefficient is positive definite and the turbulent transport makes the system homogenous.When the system is in the nonlinear region far from its thermodynamic equilibrium state, the nonlinear term may become negative and huge enough to make the turbulent transport coefficient negative which is called negative gradient turbulent transport.The thermodynamic characteristics of the turbulent transport coefficient can provide a thermodynamic closure scheme for the turbulent flow.Based on the minimum entropy production theorem,a recursive relation among the coefficients of Taylor series will be obtained.Utilizing this recursive relation can reduce greatly the number of Taylor series coefficients that need to be observed by experiments for determining the Taylor series. |
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| Keywords: | Turbulent transport )Irreversible process Nonlinear thermodynamics Turbulent closure Turbulent transport coefficient |
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