Comprehensive Kinetic Model For Weakly Rarefied Gases

Comprehensive Kinetic Model For Weakly Rarefied Gases
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弱稀薄气体的综合动力学模型

DOI:
10.1063/1.1581563
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发表时间:
2003
期刊:
--
影响因子:
--
通讯作者:
H. Oguchi
H. Oguchi
中科院分区:
--
文献类型:
--
作者:
H. Oguchi

文献摘要

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建立了一个动力学模型方程,该方程非常类似于服从逆幂律势的单原子分子的弱稀薄气体的玻尔兹曼碰撞积分。碰撞积分是在假设所涉及的速度分布函数采用十三阶矩展开形式的情况下处理的。通过分析操作,我们将推导出一个全面的动力学模型方程,该方程适用于在广泛的正幂相互作用下分析分子运动。目前制定的动力学模型方程建议进一步可能的扩展到的情况下的分子服从更实际的潜在法律。
This paper concerns with the construction of a kinetic model equation which closely resembles the Boltzmann collision integrals for weakly rarefied gases of the monatomic molecules obeying the inverse power‐law potentials. The collision integrals are dealt with under the assumption that the velocity distribution functions involved take the form of the thirteen‐moment expansion. Through analytic manipulations we shall derive a comprehensive kinetic model equation which is applicable to analyses of the molecular motions under a wide range of positive‐power interaction. The present formulation of the kinetic model equation suggests further possible extension to cases of the molecules obeying much practical potential laws.