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首页> 外文期刊>AIP Advances >Multiple temperature model of nonlinear coupled constitutive relations for hypersonic diatomic gas flows
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Multiple temperature model of nonlinear coupled constitutive relations for hypersonic diatomic gas flows

机译：超声抗体气流的非线性耦合本构关系多温度模型

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The rotational energy of diatomic gases would be activated by the process of intermolecular collisions in high-temperature hypersonic flows. In this paper, a multi-temperature nonlinear coupled constitutive model has been proposed for simulating the transfer of energy between translational and rotational motions in hypersonic non-equilibrium flows. In this model, the nonlinear coupled constitutive equations are modified by introducing a rotational energy relaxation model and a changeable viscosity ratio related to local temperature. To confirm its accuracy, the new model is applied to investigate steady shock wave structures and high-speed gas flows around a cylinder and across a flat plate. The computational results are compared with the multi-temperature Navier–Stokes (NS) equations, the direct simulation Monte Carlo (DSMC) solutions, and the experiment data. The final results show the new model would reproduce the NS results at low Knudsen numbers but behave quite differently from the NS results as the non-equilibrium degree is enhanced. The new model is in better agreement with the DSMC solutions and the experimental data than the NS solutions in the far-from-equilibrium regions, which demonstrates the potential of the new relaxation model in the simulation of hypersonic non-equilibrium flows.
机译：通过高温超声波流的分子间碰撞的过程激活硅藻气体的旋转能量。本文已经提出了一种多温度非线性耦合本构模型，用于模拟超声非平衡流动中平移和旋转运动之间的能量转移。在该模型中，通过引入旋转能量松弛模型和与局部温度相关的可变粘度比来修改非线性耦合的本构体方程。为了确认其准确性，应用新模型来研究稳定冲击波结构，高速气体在圆筒周围和平板上进行。将计算结果与多温度Navier-Stokes（NS）方程，直接仿真蒙特卡罗（DSMC）解决方案进行比较，以及实验数据。最终结果表明新模型将在低knudsen数字中重现NS结果，但随着不平衡程度的增强程度，从NS结果相比，表现得非常不同。新模型与DSMC解决方案更好地同意，比远程均衡区域中的NS解决方案更好，实验数据显示出新的放松模型在超声波非平衡流动模拟中的潜力。

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