The Concept of Mass‐Density in Classical Thermodynamics and the Boltzmann Kinetic Equation for Dilute Gases
The Concept of Mass‐Density in Classical Thermodynamics and the Boltzmann Kinetic Equation for Dilute Gases
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经典热力学中的质量密度概念和稀气体的玻尔兹曼动力学方程
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
J. Reese
中科院分区：
文献类型：
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作者：
K. Dadzie;J. Reese
在本文中，我们讨论了气体介质的质量密度在动力学理论中的表现。有人认为，这个变量在气体动力学理论的传统表示矛盾的宏观场变量和热力学性质在经典热力学。我们表明，在整个介质中存在质量密度变化的情况下，引入质量密度作为宏观场变量会导致扩散/对流通量的重组，并意味着对描述气体流动和传热的流体动力学方程进行一些修改。作为一个例子，我们考虑在不同温度下保持平行板之间的简单热传导问题中预测质量密度分布。
In this paper we discuss the mass‐density of gas media as represented in kinetic theory. It is argued that conventional representations of this variable in gas kinetic theory contradict a macroscopic field variable and thermodynamic property in classical thermodynamics. We show that in cases where mass‐density variations exist throughout the medium, introducing the mass‐density as a macroscopic field variable leads to a restructuring of the diffusive/convective fluxes and implies some modifications to the hydrodynamic equations describing gas flows and heat transfer. As an illustration, we consider the prediction of mass‐density profiles in a simple heat conduction problem between parallel plates maintained at different temperatures.