论文标题
平行板之间的流量：逆功率LAW模型的正则13兆方程的分析解
Flows Between Parallel Plates: Analytical Solutions of Regularized 13-Moment Equations for Inverse-Power-Law Models
论文作者
论文摘要
我们研究了正则化13兆方程预测的固定通道流的结构。与以前的工作相比[P。 Taheri等人，物理。 Fluids，21（2009），017102]，我们专注于分子满足一般逆功率定律的气体。分析溶液是针对半线性方程式获得的，并且通过将一般溶液与新得出的边界条件耦合，可以解决COUETTE，Fourier和Poiseuille流的结构。结果表明，在滑动方案中，与参考解决方案的一致性很大。我们的结果还表明，比粘度改变的Maxwell分子的R13方程得出的R13方程可以具有更好的精度。
We study the structure of stationary channel flows predicted by the regularized 13-moment equations. Compared with the previous work [P. Taheri et al., Phys. Fluids, 21 (2009), 017102], we focus on gases whose molecules satisfy the general inverse power law. The analytical solutions are obtained for the semi-linear equations, and the structures of Couette, Fourier, and Poiseuille flows are solved by coupling the general solutions with newly derived boundary conditions. The results show excellent agreement with the reference solution in the slip-flow regime. Our results also show that the R13 equations derived from inverse power law models can have better accuracy than the R13 equations of Maxwell molecules with altered viscosity.
