journal article Jul 01, 1966

Triple Collision Contribution to the Transport Coefficients of a Rigid Sphere Gas

The Physics of Fluids Vol. 9 No. 7 pp. 1333-1347 · AIP Publishing
View at Publisher Save 10.1063/1.1761849
Abstract
An analysis is made of the triple collision integrals which appear in the expressions for the first density correction to the thermal conductivity and the viscosity of a gas of rigid spheres. It is shown that these triple collision integrals can be written as a sum of integrals associated with six triple collision events, each of which consists of a certain sequence of correlated successive binary collisions. A number of integrations are carried out, and the originally 15-fold triple collision integrals are reduced to 7-fold integrals in a form suitable for numerical analysis. The results are compared with the approximate predictions given by the Enskog theory for a dense gas of rigid spheres.
Topics

No keywords indexed for this article. Browse by subject →

References
50
[1]
[2]
[3]
[4]
J. Chem. Phys. (1956) 10.1063/1.1743132
[5]
[6]
[7]
J. Math. Phys. (1963) 10.1063/1.1703942
[8]
Phys. Rev. (1963) 10.1103/physrev.132.1388
[9]
[10]
J. Math. Phys. (1966) 10.1063/1.1931228
[11]
[12]
J. Math. Phys. (1966) 10.1063/1.1704927
[13]
[14]
[15]
[16]
Phys. Fluids (1966) 10.1063/1.1761683
[17]
[18]
J. Phys. Soc. Japan (1963) 10.1143/jpsj.18.29
[19]
Phys. Rev. (1963) 10.1103/physrev.129.486
[20]
Phys. Rev. (1963) 10.1103/physrev.132.454
[21]
Phys. Rev. (1964) 10.1103/physrev.136.a1519
[22]
[23]
[24]
Phys. Rev. (1964) 10.1103/physrev.136.a905
[25]
Kungl. Svenska Vetenskaps Akad. Handl. (1922)
[26]
[27]
Phil. Trans. Roy. Soc. London (1916)
[28]
Proc. London Math. Soc. (1935)
[29]
[30]
Phys. Rev. Letters (1964) 10.1103/physrevlett.13.743
[31]
[32]
[33]
[34]
J. Chem. Phys. (1960) 10.1063/1.1730855
[35]
J. Chem. Phys. (1960) 10.1063/1.1731418
[36]
Phys. Fluids (1960) 10.1063/1.1706155
[37]
[38]
Phys. Fluids (1961) 10.1063/1.1706412
[39]
Phys. Letters (1963) 10.1016/0031-9163(63)90059-3
[40]
J. Chem. Phys. (1964) 10.1063/1.1724928
[41]
Physica (1966)
[42]
[43]
[44]
[45]
On the density expansion of the pair distribution function for a dense gas not in equilibrium

J.R. Dorfman, E.G.D. Cohen

Physics Letters 1965 10.1016/0031-9163(65)90149-6
[46]
Phys. Rev. (1965) 10.1103/physrev.140.a460
[47]
Bull. Am. Phys. Soc (1965)
[48]
[49]
Phys. Rev. Letters (1965) 10.1103/physrevlett.15.515
[50]
Phys. Rev. (1965) 10.1103/physrev.139.a1763
Metrics
37
Citations
50
References
Details
Published
Jul 01, 1966
Vol/Issue
9(7)
Pages
1333-1347
Cite This Article
J. V. Sengers (1966). Triple Collision Contribution to the Transport Coefficients of a Rigid Sphere Gas. The Physics of Fluids, 9(7), 1333-1347. https://doi.org/10.1063/1.1761849
Related

You May Also Like

Equation of motion for a small rigid sphere in a nonuniform flow

Martin R. Maxey, James J. Riley · 1983

2,761 citations

Inertial Ranges in Two-Dimensional Turbulence

Robert H. Kraichnan · 1967

2,610 citations

Fluid dynamics of relativistic blast waves

R. D. Blandford, C. F. McKee · 1976

995 citations