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| Multiple Temperature Model for Near Continuum Flows | |
| Xu K; Liu HW; Jiang JZ(蒋建政); Xu, K (reprint author), Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Peoples R China. | |
| Source Publication | JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY
 |
| 2007 | |
| Volume | 21Issue:9Pages:1376-1382 |
| ISSN | 1738-494X |
| Abstract | In the near continuum flow regime, the flow may have different translational temperatures in different directions. It is well known that for increasingly rarefied flow fields, the predictions from continuum formulation, such as the Navier-Stokes equations, lose accuracy. These inaccuracies may be partially due to the single temperature assumption in the Navier-Stokes equations. Here, based on the gas-kinetic Bhatnagar-Gross-Krook (BGK) equation, a multi-translational temperature model is proposed and used in the flow calculations. In order to fix all three translational temperatures, two constraints are additionally proposed to model the energy exchange in different directions. Based on the multiple temperature assumption, the Navier-Stokes relation between the stress and strain is replaced by the temperature relaxation term, and the Navier-Stokes assumption is recovered only in the limiting case when the flow is close to the equilibrium with the same temperature in different directions. In order to validate the current model, both the Couette and Poiseuille flows are studied in the transition flow regime. |
| Keyword | Gas-kinetic Model Multiple Translational Temperatures Rarefied Flow |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000249457400008 |
| WOS Keyword | PLANE POISEUILLE FLOW ; SHOCK STRUCTURE ; KINETIC-THEORY ; GAS-FLOWS ; SIMULATION ; EQUATIONS ; SCHEME |
| WOS Research Area | Engineering |
| WOS Subject | Engineering, Mechanical |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/58452 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Xu, K (reprint author), Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Peoples R China. |
| Recommended Citation GB/T 7714 | Xu K,Liu HW,Jiang JZ,et al. Multiple Temperature Model for Near Continuum Flows[J]. JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY,2007,21,9,:1376-1382. |
| APA | Xu K,Liu HW,蒋建政,&Xu, K .(2007).Multiple Temperature Model for Near Continuum Flows.JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY,21(9),1376-1382. |
| MLA | Xu K,et al."Multiple Temperature Model for Near Continuum Flows".JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY 21.9(2007):1376-1382. |
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| JourArSuppl2016-165.（687KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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