Effect of Sudden Change of Wall Temperature in Rarefied Gas
Effect of Sudden Change of Wall Temperature in Rarefied Gas
复制标题
稀薄气体中壁温突变的影响
DOI：
10.1143/jpsj.20.222
复制
发表时间：
1965
影响因子：
1.7
通讯作者：
Y. Sone
中科院分区：
文献类型：
--
作者：
Y. Sone
利用Boltzmann方程的Bhatnager、Gross和Krook模型讨论了稀薄气体对边界壁温度突变的响应。假设壁面温度变化很小，并将控制方程和边界条件线性化。在气体中的密度和温度分布，获得了短时间和长时间。对于短时间的解决方案表示扰动的线性化的自由分子流。在较长的时间内，它与基于Navier-Stokes方程的相应解有本质的区别，并得到了温度跃变距离的数值。
The response of a rarefied gas to abrupt change of temperature of bounding wall is discussed using the Bhatnager, Gross and Krook model of Boltzmann equation. The temperature change of the wall is assumed to be small and the governing equations as well as the boundary conditions are linearized. The density and temperature distributions in the gas are obtained for both short and long times. For short times the solution represents a perturbation to the linearized free molecular flow. At long times it involves essential differences from the corresponding solution based on the Navier-Stokes equation in a layer adjacent to the boundary with thickness of the order of mean free path. Numerical value of temperature jump distance is also obtained.