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Influence of State-to-State Transport Coefficients on Surface Heat Transfer in Hypersonic Flows

机译:状态间的传输系数对高超声速流动中表面传热的影响

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A numerical study is performed to assess the influence of two state-to-state kinetic approaches on the prediction of surface heat transfer of Mach 7 hypersonic external flowfields. One approach consists of a simplified state-to-state kinetic model which utilizes Eucken's relation for calculating thermal conductivity and a constant Lewis number assumption for calculating self-diffusion in the vibrational quantum levels. The other approach uses a rigorous kinetic theory based model for which collision integrals are used to determine transport coefficients related to thermal diffusion, heat conductivity, self-diffusion, and diffusion of vibrational energy. Inclusion of self-diffusion results in an increase in the surface heat flux of up to 6.5% upstream of a shoulder region. Thermal conductivity is found to be the primary contributor to surface heat flux. The differences in heat flux predictions between the two state kinetic models highlight the sensitivity of surface heat transfer rate to the thermal conductivity models used. As a starting point for future determination of transport coefficient model sensitivities, a probabilistic global sensitivity analysis is performed for a simplified set of hypersonic flow calculations involving the Sutherland viscosity model.
机译:进行了数值研究,以评估两种状态间动力学方法对Mach 7高超音速外部流场的表面热传递预测的影响。一种方法包括简化的状态间动力学模型,该模型利用Eucken关系来计算热导率,并采用恒定的Lewis数假设来计算振动量子能级中的自扩散。另一种方法是使用基于严格动力学理论的模型,对于该模型,碰撞积分用于确定与热扩散,导热系数,自扩散和振动能量扩散相关的传输系数。包含自扩散会导致肩部区域上游的表面热通量增加多达6.5%。发现热导率是表面热通量的主要贡献者。两种状态动力学模型之间的热通量预测差异突出了表面传热速率对所用热导率模型的敏感性。作为将来确定传输系数模型灵敏度的起点,对涉及Sutherland粘度模型的一组简化的高超音速流动计算进行了概率全局灵敏度分析。

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