Alternative constitutive relation for momentum transport of extended Navier-Stokes equations*

doi:10.1088/1674-1056/abb3e5

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	Alternative constitutive relation for momentum transport of extended Navier-Stokes equations*
	Han GF(韩国锋); Liu XL ; Huang J ; Nawnit K ; Sun L
刊名	CHINESE PHYSICS B
	2020-12-01
卷号	29 期号:12 页码:124701
关键词	extended Navier-Stokes equation constitutive relation momentum transport mass diffusion
ISSN号	1674-1056
DOI	10.1088/1674-1056/abb3e5
英文摘要	The classical Navier-Stokes equation (NSE) is the fundamental partial differential equation that describes the flow of fluids, but in certain cases, like high local density and temperature gradient, it is inconsistent with the experimental results. Some extended Navier-Stokes equations with diffusion terms taken into consideration have been proposed. However, a consensus conclusion on the specific expression of the additional diffusion term has not been reached in the academic circle. The models adopt the form of the generalized Newtonian constitutive relation by substituting the convection velocity with a new term, or by using some analogy. In this study, a new constitutive relation for momentum transport and a momentum balance equation are obtained based on the molecular kinetic theory. The new constitutive relation preserves the symmetry of the deviation stress, and the momentum balance equation satisfies Galilean invariance. The results show that for Poiseuille flow in a circular micro-tube, self-diffusion in micro-flow needs considering even if the local density gradient is very low.
分类号	Q3
WOS研究方向	Physics
语种	英语
WOS记录号	WOS:000597127200001
资助机构	National Natural Science Foundation of China-Outstanding Youth Foundation [51522903} ; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11602276, 51479094} ; Key Laboratory for Mechanics in Fluid Solid Coupling Systems of the Chinese Academy of Sciences
其他责任者	Liu, XL
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/85411]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
作者单位	1.{Sun Liang} PetroChina Res Inst Petr Explorat & Dev Beijing 100083 Peoples R China 2.{Liu Xiao-Li, Huang Jin, Nawnit Kumar} Tsinghua Univ State Key Lab Hydrosci & Engn Beijing 100084 Peoples R China 3.{Han Guo-Feng} Chinese Acad Sci Inst Mech Beijing 100190 Peoples R China
推荐引用方式 GB/T 7714	Han GF,Liu XL,Huang J,et al. Alternative constitutive relation for momentum transport of extended Navier-Stokes equations*[J]. CHINESE PHYSICS B,2020,29(12):124701.
APA	韩国锋,Liu XL,Huang J,Nawnit K,&Sun L.(2020).Alternative constitutive relation for momentum transport of extended Navier-Stokes equations*.CHINESE PHYSICS B,29(12),124701.
MLA	韩国锋,et al."Alternative constitutive relation for momentum transport of extended Navier-Stokes equations*".CHINESE PHYSICS B 29.12(2020):124701.