Modified Boltzmann equation and extended Navier-Stokes equations | |
Han GF(韩国锋)1; Liu XL2; Huang J2; Nawnit K2; Sun L3 | |
Corresponding Author | Liu, Xiaoli([email protected]) |
Source Publication | PHYSICS OF FLUIDS |
2020-02-01 | |
Volume | 32Issue:2Pages:5 |
ISSN | 1070-6631 |
Abstract | We refine the derivation of the Boltzmann equation by considering that the molecules passing through the interfaces of a volume element of physical space and velocity space exhibit different velocity distribution functions and number densities. The resulting equation has a time parameter close to the relaxation time and degenerates into the conventional Boltzmann equation when this parameter takes a value of zero. By considering the macroscopic averaging of mass, momentum, and energy, the corresponding continuity, momentum, and energy equations are obtained. Compared with the extended Navier-Stokes equations, the momentum and energy equations contain additional terms to represent the external forces. |
DOI | 10.1063/1.5139501 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000518033600001 |
WOS Keyword | GAS-DYNAMICS ; FLOWS ; MODEL ; KNUDSEN |
WOS Research Area | Mechanics ; Physics |
WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
Funding Project | National Natural Science Foundation of China-Outstanding Youth Foundation[51522903] ; National Natural Science Foundation of China[11602276] ; National Natural Science Foundation of China[51479094] ; Key Laboratory for Mechanics in Fluid Solid Coupling Systems of CAS |
Funding Organization | National Natural Science Foundation of China-Outstanding Youth Foundation ; National Natural Science Foundation of China ; Key Laboratory for Mechanics in Fluid Solid Coupling Systems of CAS |
Classification | 一类/力学重要期刊 |
Ranking | 1 |
Contributor | Liu, Xiaoli |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/81575 |
Collection | 流固耦合系统力学重点实验室 |
Affiliation | 1.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 2.Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China; 3.PetroChina Res Inst Petr Explorat & Dev, Beijing 100083, Peoples R China |
Recommended Citation GB/T 7714 | Han GF,Liu XL,Huang J,et al. Modified Boltzmann equation and extended Navier-Stokes equations[J]. PHYSICS OF FLUIDS,2020,32,2,:5.Rp_Au:Liu, Xiaoli |
APA | 韩国锋,Liu XL,Huang J,Nawnit K,&Sun L.(2020).Modified Boltzmann equation and extended Navier-Stokes equations.PHYSICS OF FLUIDS,32(2),5. |
MLA | 韩国锋,et al."Modified Boltzmann equation and extended Navier-Stokes equations".PHYSICS OF FLUIDS 32.2(2020):5. |
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Jp2020024.pdf(1553KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download |
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