## Non Ideal Gas(非理想气体)研究综述

Non Ideal Gas 非理想气体 - This manuscript aims to deal with the one-dimensional unsteady flow of non-ideal gas with monochromatic radiation under the influence of a magnetic field, where the invariance method of the Lie group of transformations is applied in a cylindrically symmetric motion.^{[1]}The dust consists of tiny solid particles continually scattered in a non-ideal gas.

^{[2]}A non-ideal gas approach and fugacity coefficient were also considered in the calculation.

^{[3]}A rigorous analysis of the association behaviour of methanol vapour confirms that dimers and cyclic tetramers play an important role, but physical non-ideal gas behaviour must also be taken into account.

^{[4]}It is proved that TdU entransy and TdH enthalpy-entransy are not state functions for thermodynamic systems with non-ideal gas substances, so the entransy transfer analysis methodology is constructed based on entransy process functions for generic systems operating with thermodynamic cycles.

^{[5]}The dusty gas is taken to be perfectly conducting mixture of non-ideal gas and small inert solid particles of micro size, in which solid particles are continuously distributed.

^{[6]}This enabled in combination with the results for air an assessment of the impact of non-ideal gas dynamics on the form drag of a cylinder in the considered highly subsonic flow regime.

^{[7]}Both approximations have been implemented with complex multi-parameter equations-of-state based on the Helmholtz free energy, taking into account the non-ideal gas flow behavior of steam and carbon dioxide.

^{[8]}It was compared with the ideal gas model to clarify the differences and non-ideal gas characteristics of He–Xe.

^{[9]}Similar to the spacecraft extensions of TAU, HyperCODA extends CODA for applications at high Mach numbers, including non-ideal gas thermodynamics, gas mixtures, and chemistry.

^{[10]}The compressor, in particular, operates in a thermodynamic condition close to the critical point, whereby the fluid exhibits significant non-ideal gas effects and is prone to phase change in the intake region of the machine.

^{[11]}The selected configuration was considered as representative of the high-pressure stages of high-temperature Organic Rankine Cycle (ORC) axial turbines, which may exhibit significant non-ideal gas effects.

^{[12]}Non-ideal gas flow behaviors are investigated by an Enskog-Vlasov type kinetic model considering the simultaneous effects of gas molecule size (volume exclusion) and long-range intermolecular attractions at the molecular level, which corresponds to the real gas equation of state at the macroscopic level.

^{[13]}

本手稿旨在处理在磁场影响下具有单色辐射的非理想气体的一维非定常流动，其中李群变换的不变性方法应用于圆柱对称运动。

^{[1]}尘埃由不断分散在非理想气体中的微小固体颗粒组成。

^{[2]}计算中还考虑了非理想气体方法和逸度系数。

^{[3]}对甲醇蒸气缔合行为的严格分析证实，二聚体和环状四聚体起着重要作用，但也必须考虑物理非理想气体行为。

^{[4]}证明了TdU焓和TdH焓焓不是具有非理想气体物质的热力学系统的状态函数，因此基于热力循环运行的通用系统的焓过程函数构建了焓传递分析方法。

^{[5]}含尘气体被认为是非理想气体和微小尺寸惰性固体颗粒的完美导电混合物，其中固体颗粒连续分布。

^{[6]}这使得与空气的结果相结合，可以评估非理想气体动力学对所考虑的高亚音速流动状态下圆柱体形状阻力的影响。

^{[7]}考虑到蒸汽和二氧化碳的非理想气体流动行为，这两种近似都已通过基于亥姆霍兹自由能的复杂多参数状态方程实现。

^{[8]}将其与理想气体模型进行对比，阐明He-Xe的差异和非理想气体特征。

^{[9]}与 TAU 的航天器扩展类似，HyperCODA 将 CODA 扩展到高马赫数的应用，包括非理想气体热力学、气体混合物和化学。

^{[10]}特别是压缩机在接近临界点的热力学条件下运行，因此流体表现出显着的非理想气体效应，并且容易在机器的进气区域发生相变。

^{[11]}所选配置被认为是高温有机朗肯循环 (ORC) 轴流式涡轮机高压级的代表，这可能会表现出显着的非理想气体效应。

^{[12]}考虑气体分子大小（体积排阻）和分子水平上长程分子间吸引力的同时影响，通过 Enskog-Vlasov 型动力学模型研究非理想气体流动行为，这对应于实际气体状态方程宏观层面。

^{[13]}

## cylindrical shock wave 圆柱冲击波

Similarity solutions are obtained for one-dimensional cylindrical shock wave in a self-gravitating, rotational axisymmetric non-ideal gas with azimuthal or axial magnetic field in the presence of conductive and radiative heat fluxes.^{[1]}A theoretical model for the propagation of cylindrical shock waves in the adiabatic flow of a non-ideal gas with the effect of monochromatic radiation into the stellar interiors is studied.

^{[2]}The propagation of cylindrical shock wave in rotational axisymmetric non-ideal gas with conductive and radiative heat fluxes as well as axial magnetic field is investigated.

^{[3]}The propagation of a cylindrical shock wave in a rotational axisymmetric non-ideal gas with heat conduction and radiation heat-flux, in the presence of a spatially decreasing azimuthal magnetic field, driven out by a moving piston is investigated.

^{[4]}

在存在传导和辐射热通量的情况下，获得了具有方位角或轴向磁场的自引力旋转轴对称非理想气体中的一维圆柱冲击波的相似解。

^{[1]}研究了非理想气体绝热流中圆柱冲击波在单色辐射作用下向恒星内部传播的理论模型。

^{[2]}nan

^{[3]}nan

^{[4]}

## shock wave propagation 冲击波传播

The similarity solutions using Lie group analysis for shock wave propagation in a rotational axisymmetric non-ideal gas with azimuthal or axial magnetic field in the case of isothermal and adiabatic flows are obtained.^{[1]}We investigated the exact similarity solutions for shock wave propagation in non-ideal gas with radiation heat flux under gravitational field by taking radiation pressure and radiation energy into account in the presence of azimuthal magnetic field for spherical geometry.

^{[2]}Received: 2 April 2019 Accepted: 25 June 2019 In the present paper the exact similarity solution for spherical shock wave propagation in a non-ideal gas in the case of isothermal flow with azimuthal magnetic field is studied.

^{[3]}

得到了在等温和绝热流动情况下，具有方位角或轴向磁场的旋转轴对称非理想气体中冲击波传播的李群分析相似解。

^{[1]}nan

^{[2]}nan

^{[3]}

## axial magnetic field 轴向磁场

The approximate analytical solution for the propagation of gas ionizing cylindrical blast (shock) wave in a rotational axisymmetric non-ideal gas with azimuthal or axial magnetic field is investigated.^{[1]}

研究了具有方位角或轴向磁场的旋转轴对称非理想气体中气体电离圆柱冲击波传播的近似解析解。

^{[1]}