A laminar supersonic boundary layer under the conditions of diffusive hydrogen-air flame and its stability

IF 0.5 4区工程技术 Q4 ENGINEERING, AEROSPACE Thermophysics and Aeromechanics Pub Date : 2024-03-20 DOI:10.1134/S0869864323060124

S. A. Gaponov, S. O. Morozov, A. N. Semenov

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Abstract

The problem of hydrodynamic stability of a boundary layer with diffusion combustion is formulated in the Dan–Lin–Alekseev approximation and at constant Prandtl and Schmidt numbers; it is reduced to solving a system of the tenth-order ordinary differential equations with homogeneous boundary conditions. With Lewis numbers equal to unity, it may be lowered to the eighth order. In the inviscid approximation, the stability problem is reduced to the integration of a single second-order differential equation.

Based on the obtained stability equations and calculations of stationary flow parameters, the stability of a supersonic boundary layer with diffusive combustion on a permeable plate with hydrogen supply through its pores is studied for the first time by direct numerical modeling. With the Mach number M = 2, the possibility of flame flow stabilization is established using calculations. It is shown that within the framework of the inviscid theory of stability, it is possible to obtain quite reliable data on the maximum degrees of the growth of disturbances.

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扩散氢气-空气火焰条件下的层流超音速边界层及其稳定性

在丹-林-阿列克谢耶夫近似条件下，在普朗特数和施密特数不变的情况下，提出了具有扩散燃烧的边界层的流体力学稳定性问题；该问题简化为求解具有同质边界条件的十阶常微分方程组。当路易斯数等于一的时候，可以降到八阶。在不粘性近似条件下，稳定性问题简化为一个二阶微分方程的积分。根据所获得的稳定性方程和静止流参数计算，首次通过直接数值建模研究了通过孔隙供氢的渗透板上扩散燃烧的超音速边界层的稳定性。当马赫数 M = 2 时，通过计算确定了火焰流稳定的可能性。结果表明，在不粘性稳定理论的框架内，有可能获得关于扰动增长最大程度的相当可靠的数据。

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来源期刊

Thermophysics and Aeromechanics THERMODYNAMICS-MECHANICS

CiteScore

0.90

自引率

40.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal Thermophysics and Aeromechanics publishes original reports, reviews, and discussions on the following topics: hydrogasdynamics, heat and mass transfer, turbulence, means and methods of aero- and thermophysical experiment, physics of low-temperature plasma, and physical and technical problems of energetics. These topics are the prior fields of investigation at the Institute of Thermophysics and the Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences (SB RAS), which are the founders of the journal along with SB RAS. This publication promotes an exchange of information between the researchers of Russia and the international scientific community.