论文标题
带辐射的稀有气流的动力学建模
Kinetic modelling of rarefied gas flows with radiation
论文作者
论文摘要
提出了两个动力学模型,用于辐射的高温稀有(或非平衡)气流。其中一个模型使用玻尔兹曼碰撞算子对气体分子的翻译运动进行建模,该运动具有捕获分子间电位的影响的能力,而另一个则采用了弛豫时间近似,具有较高的计算效率。在动力学建模中,不仅恢复了运输系数,例如剪切/散装粘度和导热率,而且还恢复了其基本弛豫过程。同样,气流和辐射的非平衡动力学以自洽的方式耦合。首先,通过直接模拟蒙特卡洛方法在几种非辐射稀释气流中验证了两个提出的动力学模型,包括正常的冲击波,傅立叶流动,COUETTE流量以及由Maxwell Demon驱动的蠕变流量。然后,研究了具有强辐射的稀有气流,不仅在上述一维气流中,而且还在二维辐射性超音速流动缸中。除了纳德森的气流数外,光子knudsen数量和相对辐射强度的影响也得到了审查。发现辐射可以为障碍表面的总热传递做出深远的贡献。
Two kinetic models are proposed for high-temperature rarefied (or non-equilibrium) gas flows with radiation. One of the models uses the Boltzmann collision operator to model the translational motion of gas molecules, which has the ability to capture the influence of intermolecular potentials, while the other adopts the relaxation time approximations, which has higher computational efficiency. In the kinetic modelling, not only the transport coefficients such as the shear/bulk viscosity and thermal conductivity but also their fundamental relaxation processes are recovered. Also, the non-equilibrium dynamics of gas flow and radiation are coupled in a self-consistent manner. The two proposed kinetic models are first validated by the direct simulation Monte Carlo method in several non-radiative rarefied gas flows, including the normal shock wave, Fourier flow, Couette flow, and the creep flow driven by the Maxwell demon. Then, the rarefied gas flows with strong radiation are investigated, not only in the above one-dimensional gas flows, but also in the two-dimensional radiative hypersonic flow passing cylinder. In addition to the Knudsen number of gas flow, the influence of the photon Knudsen number and relative radiation strength is scrutinised. It is found that the radiation can make a profound contribution to the total heat transfer on obstacle surface.