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85034542225
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-
note
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col.
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22
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85034541162
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note
-
The following simple expression of the boundary condition is complete but is sometimes misunderstood. The velocity distribution function f gives the complete information of the Boltzmann system. It is determined by the Boltzmann equation if its part for the molecules leaving the boundary is specified. This should not be confused with the physical process in formulating the boundary condition. For example, the effect is the same irrespective of the origin of the molecules leaving the boundary if the part of the velocity distribution function for the molecules leaving there is the same.
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23
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Numerical analysis of steady flows of a gas evaporating from its cylindrical condensed phase on the basis of kinetic theory
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85034553799
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note
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+, which will be explained in Sec. IV B, is generally used as the initial solution.
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26
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84963164029
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Discontinuity of the velocity distribution function in a rarefied gas around convex body and the S layer at the bottom of the Knudsen layer
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The behavior of a gas in the continuum limit in the light of kinetic theory: The case of cylindrical Couette flows with evaporation and condensation
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85034534045
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note
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s in the boundary conditions are given numerically. Solution of the nonlinear equations requires iteration analysis, for which the following discussion, especially diagrams such as Fig. 3, is helpful.
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36
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0002682357
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36549094315
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39
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36549094315
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T. Ohwada, Y. Sone, and K. Aoki, "Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules," Phys. Fluids A 1, 2042 (1989); 2, 639(E) (1990).
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40
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85034544504
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note
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+ are used. Solutions near the edges of the branches are obtained from the initial solution of iteration constructed by extrapolation of the neighboring solution.
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