2001
DOI: 10.1063/1.1407558
|View full text |Cite
|
Sign up to set email alerts
|

Macroscopic relations in rarefied shear flows

Abstract: Abstract. The plane Couette flow and hypersonic flow past a flat plate at a zero angle of attack are investigated. The relations between stresses and heat fluxes in the Couette flows and the gradients of velocity and temperature are derived. These relations are the generalization of Newton-Fourier (Navier-Stokes) relations for the shear flow with strong nonequilibrium. The relation between longitudinal heat flux, on the one hand, and both transverse heat flux and shear stress with another, is detected. The pos… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1

Citation Types

0
10
0

Year Published

2002
2002
2005
2005

Publication Types

Select...
4
2

Relationship

2
4

Authors

Journals

citations
Cited by 6 publications
(10 citation statements)
references
References 2 publications
0
10
0
Order By: Relevance
“…Present investigation is the extension to previous research of impulse and energy transport processes in two onedimensional flows under special molecular model [5][6][7][8][9]. In paper [5] the structure of asymptotic series of Hilbert normal solution for shear flow corresponding to the plane Couette problem was obtained.…”
Section: Introductionmentioning
confidence: 88%
“…Present investigation is the extension to previous research of impulse and energy transport processes in two onedimensional flows under special molecular model [5][6][7][8][9]. In paper [5] the structure of asymptotic series of Hilbert normal solution for shear flow corresponding to the plane Couette problem was obtained.…”
Section: Introductionmentioning
confidence: 88%
“…Here q F -heat flux in Fourier approximation, k-coefficient of heat conductivity, u s and u as -symmetric and antisymmetric tensor of velocity gradient: Then define the heat flux in Couette flow with hard sphere molecules by this way [8,9,11] [13]. Heat flux for cylindrical expansion is determined in Fig.6 …”
Section: Generalized Navier-stokes Relations For Plane Flowsmentioning
confidence: 99%
“…This conclusion based on the fact of small thickness of Knudsen boundary layers. Additional confidence of this opportunity gives the analysis of Couette flow [6][7][8][9]. It was shown the structure of normal Hilbert solution of Boltzmann equation for Maxwell molecules at arbitrary nonequilibrium [6].Than the constitutive relations for stress and heat flux were determined for BGK model kinetic equation [7] by analytical approach and for Boltzmann equation [8,9] by DSMC solution.…”
Section: Introductionmentioning
confidence: 99%
See 2 more Smart Citations