1. The Study of the Boltzmann Equation of Solid-Gas Two-Phase Flow with Three-Dimensional BGK Model.
- Author
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Chang-jiang Liu, Song Pang, Qiang Xu, Ling He, Shao-peng Yang, and Yun-jie Qing
- Subjects
GAS-solid interfaces ,PHASE transitions ,BOLTZMANN'S equation ,PROBABILITY density function ,HOMOTOPY theory - Abstract
The motion of many solid-gas two-phase flows can be described by the Boltzmann equation. In order to simplify the Boltzmann equation, the convective-diffusion term is reserved and the collision term is replaced by the three-dimensional Bharnagar-Gross-Krook (BGK) model. Then the simplified Boltzmann equation is solved by homotopy perturbation method (HPM), and its approximate analytical solution is obtained. Through the analyzing, it is proved that the analytical solution satisfies all the constraint conditions, and its formation is in accord with the formation of the solution that is obtained by traditional Chapman-Enskog method, and the solving process of HPM is much more simple and convenient. This preliminarily shows the effectiveness and rapidness of HPM to solve the Boltzmann equation. The results obtained herein provide some theoretical basis for the further study of dynamic model of solid-gas two-phase flows, such as the sturzstrom of high-speed distant landslide caused by microseism and the sand storm caused by strong breeze. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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