Inverted velocity profile in the cylindrical Couette flow of a rarefied gas.

Inverted velocity profile in the cylindrical Couette flow of a rarefied gas.
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DOI:
10.1103/physreve.68.016302
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发表时间:
2003-07
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
K. Aoki;H. Yoshida;T. Nakanishi;Alejandro L. Garcia
K. Aoki;H. Yoshida;T. Nakanishi;Alejandro L. Garcia
中科院分区:
其他
文献类型:
--
作者:
K. Aoki;H. Yoshida;T. Nakanishi;Alejandro L. Garcia

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本文研究了在圆柱上麦克斯韦型漫反射条件下,内圆柱转动而外圆柱静止的稀薄气体圆柱Couette流动。Tibbs、Baras和Garcia [Phys.Rev.E56,2282(1997)]在Monte Carlo模拟的基础上指出的小调节系数下的反演速度剖面,通过对小Knudsen数的系统渐近分析以及Boltzmann方程的直接数值分析得到了广泛的研究,明确了出现这种现象的参数范围。
The cylindrical Couette flow of a rarefied gas is investigated, under the diffuse-specular reflection condition of Maxwell's type on the cylinders, in the case where the inner cylinder is rotating whereas the outer cylinder is at rest. The inverted velocity profile for small accommodation coefficients, pointed out by Tibbs, Baras, and Garcia [Phys. Rev. E 56, 2282 (1997)] on the basis of a Monte Carlo simulation, is investigated extensively by means of a systematic asymptotic analysis for small Knudsen numbers as well as the direct numerical analysis of the Boltzmann equation, and the parameter range in which the phenomenon appears is clarified.