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

• Published in: Thermophysics and aeromechanics 2023-09, Vol.30 (6), p.1095-1110
• Main Authors: Gaponov, S. A., Morozov, S. O., Semenov, A. N.
• Format: Article
• Language: English
• Subjects: Approximation; Boundary conditions; Boundary layer stability; Combustion; Differential equations; Diffusion layers; Flow stability; Hydrogen; Laminar boundary layer; Lewis numbers; Mach number; Numerical models; Ordinary differential equations; Physics; Physics and Astronomy; Supersonic boundary layers; Thermodynamics
• ISSN: 1531-8699; 0869-8643; 1531-8699
• DOI: 10.1134/S0869864323060124

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.