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《Chinese Journal of Geophysics》 2005-06
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A study on nonlinear thermodynamic characteristics of turbulent transport

ZUO Hong-Chao,HU Yin-QiaoKey Laboratory of Arid Climatic Changing and Reducing Disaster of Gansu Province,College of Atmospheric Sciences,Lanzhou University,Lanzhou 730000,China  
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.
【Fund】: 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
【CateGory Index】: P425.2
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