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Testing the Kinetic-Hydrodynamic Model by Calculating the Flow Above an Absorbing Surface
Mathematical Models and Computer Simulations Pub Date : 2021-06-12 , DOI: 10.1134/s2070048221030121
Yu. A. Nikitchenko , A. V. Tikhonovets

Abstract

The paper considers the problem of a flow around a thin plate of infinite span. The frontal surface of the plate absorbs gas. For the calculations we use the mathematical flow model containing a combination of the Navier–Stokes–Fourier model and the model kinetic equation of polyatomic gases. The calculations are performed for a supersonic flow with a Mach number of 2.31 for a Knudsen number between of 0.1 and 0.001 and a plate surface absorption coefficient between 0 to 1. The obtained flow fields are compared to solutions of the model kinetic equation for polyatomic gases. The drag coefficient of the plate is compared to the published data. For all the considered flow parameters, there is a satisfactory agreement with the data from other works. It is shown that the derivatives of gas-dynamic parameters have no discontinuities in the matching region of the kinetic and hydrodynamic components of the model. The increase in the computational efficiency of the model is estimated with respect to the solutions of the model kinetic equations. We conclude that the considered kinetic-hydrodynamic model is suitable for describing highly nonequilibrium flows.



中文翻译:

通过计算吸收表面上方的流量来测试动力学-流体动力学模型

摘要

本文考虑了绕无限跨度薄板的流动问题。板的正面吸收气体。对于计算,我们使用包含 Navier-Stokes-Fourier 模型和多原子气体模型动力学方程组合的数学流动模型。计算是针对马赫数为 2.31、克努森数介于 0.1 和 0.001 之间且板表面吸收系数介于 0 到 1 之间的超音速流动进行的。将获得的流场与多原子气体模型动力学方程的解进行比较. 板的阻力系数与公布的数据进行比较。对于所有考虑的流动参数,与其他工作的数据具有令人满意的一致性。结果表明,气体动力学参数的导数在模型的动力学分量和流体动力学分量的匹配区域内没有不连续性。模型计算效率的增加是相对于模型动力学方程的解来估计的。我们得出结论,所考虑的动力学-流体动力学模型适用于描述高度非平衡流动。

更新日期:2021-06-13
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