Abstract In this work we study the effect caused by the so called Holian conjecture (HC) on the rarefied gases shock-wave structure under the continuum approach. This conjecture which was introduced to study hard spheres takes the longitudinal temperature to calculate the viscosity and thermal conductivity, a fact which makes the shock-wave structure be modified by the explicit lack of isotropy. We generalized the HC to consider the soft sphere potential interaction and calculate the shock-wave profiles. The analysis is made according to the Navier–Stokes-Fourier (NSF) hydrodynamics and a recent phenomenological Linear Irreversible Thermodynamics (LIT) model, both models consider the HC to study the role played by the longitudinal temperature. The comparison with the available experimental data points out that NSF hydrodynamics is able to reproduce the velocity and the longitudinal temperature profiles but fails to reproduce the temperature profile either with the HC or without it. In contrast, the LIT model does the task for all profiles and shows that the effect of the HC is not significative. Deviation plots for the different profiles are provided to support our conclusions.

中文翻译：

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冲击波结构的Holian猜想和线性不可逆热力学研究

摘要 在这项工作中，我们研究了所谓的霍利安猜想 (HC) 对连续介质方法下稀薄气体激波结构的影响。引入硬球研究的这一猜想采用纵向温度来计算粘度和热导率，这一事实使冲击波结构因各向同性的显式缺失而被修改。我们将 HC 推广到考虑软球势相互作用并计算冲击波剖面。该分析是根据 Navier-Stokes-Fourier (NSF) 流体动力学和最近的现象学线性不可逆热力学 (LIT) 模型进行的，这两个模型都考虑了 HC 来研究纵向温度所起的作用。与现有实验数据的比较表明，NSF 流体动力学能够重现速度和纵向温度曲线，但无论是否使用 HC，都无法重现温度曲线。相比之下，LIT 模型为所有配置文件执行任务，并表明 HC 的效果并不显着。提供了不同轮廓的偏差图以支持我们的结论。