Abstract
Rarefied gas flow in a three-dimensional enclosure induced by nonuniform temperature distribution is numerically investigated. The enclosure has a square channel-like geometry with alternatively heated closed ends and lateral walls with a linear temperature distribution. A recently proposed implicit discrete velocity method with a memory reduction technique is used to numerically simulate the problem based on the nonlinear Shakhov kinetic equation. The Knudsen number dependencies of the vortices pattern, slip velocity at the planar walls and edges, and heat transfer are investigated. The influences of the temperature ratio imposed at the ends of the enclosure and the geometric aspect ratio are also evaluated. The overall flow pattern shows similarities with those observed in two-dimensional configurations in literature. However, features due to the three-dimensionality are observed with vortices that are not identified in previous studies on similar two-dimensional enclosures at high Knudsen and small aspect ratios.
| Original language | English |
|---|---|
| Article number | 123402 |
| Number of pages | 19 |
| Journal | Physical Review Fluids |
| Volume | 2 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 26 Dec 2017 |
Funding
This research work was financially supported by the National Key Research and Development Plan with Grant No. 2016YFB0600805 and the Special Program for Applied Research on Super Computation of the NSFC-Guangdong Joint Fund (the second phase). L.Z. would like to acknowledge Chuang Zhang and Dr. Songze Chen for helpful discussions on implementing and verification of the iterative scheme, and Dr. Lei Wu for the suggestion of using the nonuniform velocity grid. The financial support to L.Z. from Prof. Yonghao Zhang and the Chinese Scholarship Council (CSC) during his visit to the UK (CSC Student No. 201606160050) are also greatly acknowledged. APPENDIX:
Keywords
- rarefied gass flow
- Shakhov kinetic equation
- temperature distribution