Steady flows of a highly rarefied gas induced by nonuniform wall temperature
Steady flows of a highly rarefied gas induced by nonuniform wall temperature
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DOI：
10.1063/1.3558872
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发表时间：
2011-03
影响因子：
4.6
通讯作者：
S. Kosuge;K. Aoki;S. Takata;R. Hattori;D. Sakai
中科院分区：
文献类型：
--
作者：
S. Kosuge;K. Aoki;S. Takata;R. Hattori;D. Sakai
基于玻尔兹曼方程研究了具有正弦温度分布的平行板之间稀薄气体的稳态行为。采用 Cercignani-Lampis (CL) 模型或不完全能量调节漫散射的 Lord 模型作为板的边界条件。大多数分析都是以数值方式进行的，特别关注自由分子极限。在 CL 模型的情况下，板的不均匀温度分布可能会引起稳定的自由分子流，这与麦克斯韦型模型的早期结果相反 [Y.曾根，J.梅克。理论。应用。 3、315（1984）； J. 梅克。理论。应用。 4, 1 (1985)]。这一事实通过基于积分方程的精确确定性计算得到证实。此外，通过直接模拟蒙特卡罗方法对各种参数的计算表明，流场根据调节系数而变化，并分为四种类型。特...
Steady behavior of a rarefied gas between parallel plates with sinusoidal temperature distribution is investigated on the basis of the Boltzmann equation. The Cercignani–Lampis (CL) model or the Lord model for diffuse scattering with incomplete energy accommodation is adopted as the boundary condition on the plates. Most of the analysis is carried out numerically with special interest in the free-molecular limit. In the case of the CL model, the nonuniform temperature distribution of the plates may induce a steady free-molecular flow, which is in contrast with the earlier results for the Maxwell-type model [Y. Sone, J. Mec. Theor. Appl. 3, 315 (1984); J. Mec. Theor. Appl. 4, 1 (1985)]. This fact is confirmed through an accurate deterministic computation based on an integral equation. In addition, computations for a wide range of parameters by means of the direct simulation Monte Carlo method reveal that the flow field changes according to the accommodation coefficients and is classified into four types. T...