Effect of rarefaction on a gas flow of reactive gas mixtures over a catalytic wall

稀疏对反应气体混合物在催化壁上的气流的影响

• 批准号: 05650163
• 负责人: YAMAMOTO Kyoji
• 金额: $ 1.41万
• 依托单位: Okayama University, Faculty of Engineering
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-05650163/
• 关键词: Rarefied gas; Catalytic wall; Reactive gas; Gas wall interaction; すべり流; クヌーセン層; 内部自由度; 触媒型; 再結合; クヌーセン流

The flow of a reactive binary gas mixture over a catalytic plane wall is considered and the effect of rarefaction of the gas is investigated theoretically. The near-continuum equation as well as its boundary condition at the wall for small Knudsen numbers are obtained by applying the asymptotic expansion to a model equation of the Boltzmann equation. The results show that the diffusion velocity normal to the wall depends only on the reaction rate at the wall and that the slip coefficients of velocity and temperature vary considerably with the rate of the compositions. The high speed flow between two plates (Couette flow) was investigated using the equations and the boundary conditions obtained to clarify the effect of rarefaction on the heat transfer and flow. The similar calculation was made of the ternary mixture over a catalytic wall. It is shown that the jump of the temperature at the wall varies with the concentration ratio of the components and may have a positive or negative val … More ue according to the ratio.The slip condition of vibrational temperature is derived from the vibrational energy balance at the egde of the Knudsen layr for multi-component gas. The condition is applied to the analysis of the nonequilibrium viscous shock layr of a hypersonic vehicle.The free molecular flow of two component gas mixtures through a circular tube from a reservoir to a vacuum is analyzed theoretically to investigate the flux and reaction rate dependence on the tube length. the tube wall is catalytic and hence the reaction of gas mixtures proceeds to make the third species. The rate of product is shown to be almost independent on the tube length if it is aboutt two times as large as the tube radius.The Couette flow of a rarefied gas is analyzed with the boundary condition in which the gas-wall interaction is treated by the molecular dynamics method. The result shows the big deviation with the diffuse reflection boundary condition especially for large Knudsen number.The flow through a circular tube of high wall temperature is investigated experimentally to know the flux dependence on the Knudsen number. It is shown that the conductance decreases with increasing the temperature. Less

本文考虑了反应性二元混合气体在平面催化壁面上的流动，并从理论上研究了气体稀薄度的影响。通过对Boltzmann方程的模型方程进行渐近展开，得到了小Knudsen数下的近连续介质方程及其壁面边界条件。结果表明，垂直于壁面的扩散速度只取决于壁面反应速率，速度和温度的滑移系数随组分的速率变化很大。利用所得到的方程和边界条件，研究了两平板间的高速流动（库埃特流），以阐明稀薄对传热和流动的影响。对催化壁上方的三元混合物进行了类似的计算。结果表明，壁面温度跃变随组分浓度比的变化而变化，并可能有正的或负的瓦尔值 ...更多信息 本文从多组分气体在Knudsen层边缘的振动能量平衡出发，导出了振动温度的滑移条件。将该条件应用于高超声速飞行器非平衡粘性激波层的分析，对双组分气体混合物从贮液器到真空管的自由分子流进行了理论分析，研究了流量和反应速率随管长的变化规律。管壁是催化性的，因此气体混合物的反应继续进行以制备第三物质。当管长约为管半径的两倍时，生成率几乎与管长无关.本文用分子动力学方法处理气体与管壁相互作用的边界条件，分析了稀薄气体的Couette流动.结果表明，当Knudsen数较大时，与漫反射边界条件的偏差较大。本文对高壁温圆管的流动进行了实验研究，以了解流量与Knudsen数的关系。结果表明，电导随温度的升高而减小。少

项目成果

K.Yamamoto,T.Nishitani: "Rarefied Gas Flow of a Ternary Mixture over a Catalytic Wall" Rarefied Gas Dynamics (ed.Harvey,Oxford). Vol.1. 237-243 (1995)

K.Yamamoto、T.Nishitani：“催化壁上三元混合物的稀薄气体流动”稀薄气体动力学（Harvey 编，牛津）。

K. Yamamoto, T. Nishitani et al: "Slip Flow of a Binary Gas Mixture over a Catalytic Wall" Theoretical and Applied Mechanics. (ed. M. Hori, Uni. tokyo Press). 42. 221-232 (1993)

K. Yamamoto、T. Nishitani 等人：“催化壁上二元气体混合物的滑流”理论与应用力学。

Kyoji Yamamoto,Toshiyuki Nishitani 他: "Rarefied Gas Flow over a Cataiytic Wall" Rarefied Gas Dynamics. (1994)

Kyoji Yamamoto、Toshiyuki Nishitani 等人：“催化壁上的稀薄气体流动”稀薄气体动力学 (1994)。

Toshiyuki Nishitani and Kyoji Yamamoto: "Transient Behavior of a Rarefied Gas Mixture Due to Sudden Start of Reaction at an Infinite Plane Catalytic Wall" Progress in Astronautics and Aeronautics (ed.B.D.Shizgal, AIAA). Vol.160. 189-196 (1993)

Toshiyuki Nishitani 和 Kyoji Yamamoto：“由于无限平面催化壁反应突然开始而导致的稀薄气体混合物的瞬态行为”航天和航空进展（ed.B.D.Shizgal，AIAA）。

Kyoji Yamamoto,Toshiyuki Nishitani 他: "Rerefied Gas Flow over a Catalytic Wall" Progress in Astron.and Aeron.159. 640-649 (1994)

Kyoji Yamamoto、Toshiyuki Nishitani 等人：“催化壁上的再液化气体流动”进展 in Astron.and Aeron.159 (1994)。