Unsteady motion of a slightly rarefied gas caused by a plate oscillating in its normal direction

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Kazuo Aoki ◽  
Shingo Kosuge ◽  
Taiga Fujiwara ◽  
Thierry Goudon
Keyword(s):  
Rarefied Gas ◽  
Unsteady Motion ◽  
Normal Direction ◽  
Slightly Rarefied Gas

Sound waves propagating in a slightly rarefied gas over a smooth solid boundary

2019 ◽  
Vol 4 (10) ◽  
Author(s):  
Masanari Hattori ◽  
Shigeru Takata
Keyword(s):  
Rarefied Gas ◽  
Solid Boundary ◽  
Sound Waves ◽  
Slightly Rarefied Gas

Slightly Rarefied Gas Flow over a Body with Small Accommodation Coefficient

1979 ◽  
Vol 47 (2) ◽  
pp. 663-671 ◽  
Author(s):  
Kazuo Aoki ◽  
Takaji Inamuro ◽  
Yoshimoto Onishi
Keyword(s):  
Gas Flow ◽  
Rarefied Gas ◽  
Accommodation Coefficient ◽  
Rarefied Gas Flow ◽  
Slightly Rarefied Gas

Axisymmetric thermal-creep flow of a slightly rarefied gas induced around two unequal spheres

1984 ◽  
Vol 144 ◽  
pp. 103-121 ◽  
Author(s):  
Yoshimoto Onishi
Keyword(s):  
Reynolds Number ◽  
Temperature Gradient ◽  
Rarefied Gas ◽  
Low Reynolds Number ◽  
Thermal Creep ◽  
Creep Flow ◽  
Low Reynolds ◽  
Thermal Creep Flow ◽  
Slightly Rarefied Gas ◽  
Thermal Conductivities

A thermal-creep flow of a slightly rarefied gas induced axisymmetrically around two unequal spheres is studied on the basis of kinetic theory. The spheres, whose thermal conductivities are assumed to be identical with that of the gas, for simplicity, are placed in an infinite expanse of the gas at rest with a uniform temperature gradient at a far distance. Owing to the poor thermal conductivities of the spheres, a tangential temperature gradient is established on the surfaces, and this causes a thermal-creep flow in its direction. Consequently, the spheres experience forces in the opposite direction.The flow considered here is a low-Reynolds-number flow in the ordinary fluid-dynamic sense (except for the Knudsen layer), and the solution is obtained in terms of bispherical coordinates, with respect to which the system of equations of Stokes type is well developed. The velocity field around the spheres and the forces acting on them are given explicitly. The results show the interesting feature that the smaller sphere experiences the minimum force at a value of the separation distance that depends on the radius ratio. This is in contrast with the case of the axisymmetric motion of two spheres treated by Stimson & Jeffery (1926) in ordinary fluid dynamics at low Reynolds number.The ultimate velocities that the spheres would have under the action of the present thermal force when they are freely suspended are also obtained by utilizing the results for the forces of axisymmetric translational problems of two spheres at low Reynolds number. For a given temperature gradient in the gas, both spheres acquire larger velocities than those they would have if they were alone, and the smaller sphere tends to move faster than the larger one in the direction opposite to the temperature gradient.Also presented, for completeness, are the results for the sphere–plane case and for the case of eccentric spheres, the solutions for which are derived as special cases of the preceding problem of two unequal spheres.

Effect of weak gravitation on the plane thermal transpiration of a slightly rarefied gas

2012 ◽  
Vol 44 (6) ◽  
pp. 065503 ◽  
Author(s):  
Toshiyuki Doi
Keyword(s):  
Rarefied Gas ◽  
Thermal Transpiration ◽  
Slightly Rarefied Gas

Flow of a slightly rarefied gas in a narrow slit channel in the case of sublimation from one of the walls and heat inflow from the other

1975 ◽  
Vol 28 (1) ◽  
pp. 32-39
Author(s):  
P. A. Novikov ◽  
L. Ya. Lyubin ◽  
V. I. Balakhonova
Keyword(s):  
Rarefied Gas ◽  
The Other ◽  
Narrow Slit ◽  
Slit Channel ◽  
Heat Inflow ◽  
Slightly Rarefied Gas
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