Motion of an array of plates in a rarefied gas caused by radiometric force
Motion of an array of plates in a rarefied gas caused by radiometric force
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DOI：
10.1103/physreve.91.063007
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发表时间：
2015-06-17
影响因子：
2.4
通讯作者：
Aoki, Kazuo
中科院分区：
文献类型：
--
作者：
Taguchi, Satoshi;Aoki, Kazuo
在两个平行板之间的无限长通道中的稀薄气体中，沿通道放置无限多个板的阵列，这些板沿纵向以均匀间隔排列。假设阵列可沿通道自由移动。如果每个板的一侧被加热，辐射力就会作用在其上，并且阵列开始向板的冷侧移动。基于动力学理论，使用玻尔兹曼方程的椭球统计模型对阵列的最终稳态运动以及气体的相应行为进行了数值研究。作为求解方法，采用了包含特征方法的有限差分法，其能够捕获速度分布函数中的不连续性。结果，对于相对较小的努森数，可以准确地获得板边缘附近的局部流场和阵列的终端速度。
In a rarefied gas in an infinitely long channel between two parallel plates, an array of infinitely many plates, arranged longitudinally with uniform interval, is placed along the channel. The array is assumed to be freely movable along the channel. If one side of each plate is heated, the radiometric force acts on it, and the array starts moving toward the cold sides of the plates. The final steady motion of the array, as well as the corresponding behavior of the gas, is investigated numerically on the basis of kinetic theory using the ellipsoidal statistical model of the Boltzmann equation. As the solution method, a finite-difference method, with a method of characteristics incorporated, that is able to capture the discontinuity in the velocity distribution function is employed. As the result, the local flow field near the edges of the plates and the terminal velocity of the array are obtained accurately for relatively small Knudsen numbers.