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首页> 外文期刊>The European physical journal, E. Soft matter >Inelastic collisional effect on a dilute granular shock layer with a heated wall
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Inelastic collisional effect on a dilute granular shock layer with a heated wall

机译：具有加热壁的稀疏颗粒状冲击层的非弹性碰撞效应

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摘要

The inelastic collisional effect on a shock layer of a dilute granular gas with a heated wall is numerically studied. To investigate the inelastic collisional effect via the gain term in the inelastic Boltzmann equation on the shock layer, an inelastic Bhatnagar-Gross-Krook (BGK) type equation, whose loss term is equivalent to that in the inelastic Boltzmann equation, is formulated on the basis of the kinetic theory of the granular gas. The inelastic BGK-type equation formulated for a hard-sphere particle is generalized to that for an inverse power law (IPL) molecule. Numerical results in a weakly inelastic regime confirm the nonequilirium contribution to the cooling rate, when the collision frequency depends on the particle velocity. The profile of the negative high-velocity tail of the distribution function in the generation regime of the shock wave obtained by the Direct Simulation Monte Carlo method is higher than that obtained by the proposed BGK-type equation when the collision frequency depends on the particle velocity because of the inelastic collisional effect via the gain term in the inelastic Boltzmann equation, which is not included in the proposed BGK-type equation.
机译：数值研究了带有加热壁的稀颗粒气体在冲击层上的非弹性碰撞效应。为了通过激波层上非弹性Boltzmann方程中的增益项研究非弹性碰撞效应，在该方程上建立了一个非弹性Bhatnagar-Gross-Krook（BGK）型方程，其损失项等于非弹性Boltzmann方程。颗粒气体动力学理论的基础。针对硬球粒子制定的非弹性BGK型方程式被推广为针对逆幂定律（IPL）分子的方程式。当碰撞频率取决于粒子速度时，在弱非弹性状态下的数值结果证实了非quil草胺对冷却速率的贡献。当碰撞频率取决于粒子速度时，通过直接模拟蒙特卡罗方法获得的冲击波生成方式中，分布函数的负高速尾部的分布比通过建议的BGK型方程获得的分布高。由于通过非弹性Boltzmann方程中的增益项产生的非弹性碰撞效应，该方程未包括在建议的BGK型方程中。

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