On the Temperature-Jump Problem in Rarefied Gas Dynamics: The Effect of the Cercignani-Lampis Boundary Condition
On the Temperature-Jump Problem in Rarefied Gas Dynamics: The Effect of the Cercignani-Lampis Boundary Condition
复制标题
稀薄气体动力学中的温跃问题：Cercignani-Lampis 边界条件的影响
DOI：
--
复制
发表时间：
2006
影响因子：
1.9
通讯作者：
L. Barichello
中科院分区：
文献类型：
--
作者：
R. F. Knackfuss;L. Barichello
离散坐标法（ADO方法）的一个解析版本被用来建立稀薄气体动力学领域中温度跳跃问题的解。动力学模型来自线性玻尔兹曼方程用于制定的问题，在一种气体的情况下，并为二元气体混合物。气体-表面相互作用由Cercignani-Lampis核描述，该核用两个调节系数表示。该解决方案被发现是非常准确和快速。不仅给出了温度跃变系数的数值结果，还给出了密度和温度分布的数值结果。特别地，分析了两个调节系数对温度跃变系数的影响。
An analytical version of the discrete‐ordinates method (the ADO method) is used to establish a solution to the temperature‐jump problem in the rarefied gas dynamics field. Kinetic models derived from the linearized Boltzmann equation are used to formulate the problem in the one gas case and for a binary gas mixture. The gas‐surface interaction is described by the Cercignani–Lampis kernel, which is written in terms of two accommodation coefficients. The solution is found to be very accurate and fast. Numerical results are presented not only for the temperature‐jump coefficient but also for the density and temperature profiles. In particular, the effect of both accommodation coefficients on the temperature‐jump coefficient is analyzed.