The homotopy perturbation solution for the Boltzmann equation of solid-gas flow with one-dimensional BGK model

DOI

10.2991/iceep-16.2016.125How to use a DOI?

Keywords

Two-phase Flows, Boltzmann Equation, Homotopy Perturbation, BGK Model.

Abstract

The motion of many solid-gas two-phase flows is often characterized by the Boltzmann equation. In order to simplify the Boltzmann equation, the one-dimensional Bharnagar-Gross-Krook (BGK) model is applied to replace the collision term while reserving the convective-diffusion term. Then, the homotopy perturbation method (HPM) is utilized to solve the simplified Boltzmann equation to obtain the approximate analytical solution. The results show that the analytical solution satisfies all the constraint conditions, and its structure is in accord with the structure of the solution that is obtained by traditional Chapman-Enskog method, and moreover, the solution process of HPM is much more simple and convenient.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Changjiang Liu
AU  - Shaopeng Yang
AU  - Qiang Xu
AU  - Yunjie Qing
PY  - 2016/11
DA  - 2016/11
TI  - The homotopy perturbation solution for the Boltzmann equation of solid-gas flow with one-dimensional BGK model
BT  - Proceedings of the 2016 5th International Conference on Energy and Environmental Protection (ICEEP 2016)
PB  - Atlantis Press
SP  - 727
EP  - 732
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceep-16.2016.125
DO  - 10.2991/iceep-16.2016.125
ID  - Liu2016/11
ER  -