Abstract

An efficient numerical tool for studying shock waves in viscous carbon dioxide flows is proposed. The developed theoretical model is based on the kinetic theory formalism and is free of common limitations such as constant specific heat ratio, approximate analytical expressions for thermodynamic functions and transport coefficients. The thermal conductivity, viscosity and bulk viscosity coefficients are expressed in terms of temperature, collision integrals and internal energy relaxation times. Precomputed in the wide temperature range thermodynamic functions and transport coefficients are implemented to the numerical code which is used for the simulations of the shock wave structure. Including the bulk viscosity to the kinetic model results in the increasing shock width and improves the agreement with experimental data.

中文翻译：

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有限体积法在粘性二氧化碳流中冲击波的数值模拟

摘要

提出了一种研究粘性二氧化碳流中冲击波的有效数值工具。所开发的理论模型是基于动力学理论形式主义的，没有常见的局限性，例如恒定的比热比，热力学函数和输运系数的近似解析表达式。导热系数，粘度和体积粘度系数以温度，碰撞积分和内部能量弛豫时间表示。在宽温度范围内预先计算了热力学函数和传输系数，并将其实现为用于冲击波结构模拟的数字代码。在动力学模型中加入本体粘度会导致激波宽度增加，并改善与实验数据的一致性。