Influence of intermolecular potentials on rarefied gas flows: Fast spectral solutions of the Boltzmann equation
Influence of intermolecular potentials on rarefied gas flows: Fast spectral solutions of the Boltzmann equation
复制标题
DOI：
10.1063/1.4929485
复制
发表时间：
2015-08
影响因子：
4.6
通讯作者：
L. Wu;Haihu Liu;Yonghao Zhang;J. Reese
中科院分区：
文献类型：
--
作者：
L. Wu;Haihu Liu;Yonghao Zhang;J. Reese
用快速谱法求解了具有任意分子间势的玻尔兹曼方程。以伦纳德-琼斯势描述的惰性气体为例。通过将变分解的输运系数和泊泽维尔/热蒸腾流的质量/热流率与离散速度法的结果进行比较，评估了该方法的准确性。将快速谱法应用于两个平行板间的傅里叶流动和库埃特流动，研究了分子间电位对不同流动性质的影响。研究发现，对于相同稀薄参数的气体流动，傅里叶流动的热流密度和库埃特流动的剪切应力的差异很小。然而，密度、温度和速度等其他量的差异可能非常大。
The Boltzmann equation with an arbitrary intermolecular potential is solved by the fast spectral method. As examples, noble gases described by the Lennard-Jones potential are considered. The accuracy of the method is assessed by comparing both transport coecients with variational solutions and mass/heat flow rates in Poiseuille/thermal transpiration flows with results from the discrete velocity method. The fast spectral method is then applied to Fourier and Couette flows between two parallel plates, and the influence of the intermolecular potential on various flow properties is investigated. It is found that for gas flows with the same rarefaction parameter, di↵erences in the heat flux in Fourier flow and the shear stress in Couette flow are small. However, di↵erences in other quantities such as density, temperature, and velocity can be very large.