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Abstract <p>Flows in the VGU-4 high-frequency plasmatron at the Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences are studied numerically. The study includes calculations of the electromagnetic field and flows in the discharge channel, flows past a cylindrical model in the pressure chamber, and boundary layer flows on the symmetry axis ahead of the model’s stagnation point. The formulation of the problem for calculating a chemically nonequilibrium boundary layer of finite thickness is supplemented with a second-order ordinary differential equation that describes swirl on the symmetry axis and the corresponding boundary conditions. A source term accounting for the symmetric swirl of the incoming jet is included in the radial momentum conservation equation, and a&#xa0;dimensionless parameter characterizing the swirl intensity in the boundary layer is introduced. A criterion is established from the numerical solution of the problem of a nonequilibrium boundary layer near the stagnation point in dissociated air flow. In accordance with this criterion, swirl must be taken into account when calculating the heat fluxes. Taking swirl into account reduces the heat flux at the stagnation point of the model by up to 30% at low plasmatron operating powers, whereas the swirl has almost no effect on the heat flux at high powers.</p>

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Мodel of a Finite-Thickness Boundary Layer in the Neighborhood of a Stagnation Point on the Surface in Subsonic Swirling Gas Flow

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  • 发表日期：

    2026年4月1日

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  • A. F. Kolesnikov,
  • S. A. Vasil’evskii

摘要

Abstract

Flows in the VGU-4 high-frequency plasmatron at the Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences are studied numerically. The study includes calculations of the electromagnetic field and flows in the discharge channel, flows past a cylindrical model in the pressure chamber, and boundary layer flows on the symmetry axis ahead of the model’s stagnation point. The formulation of the problem for calculating a chemically nonequilibrium boundary layer of finite thickness is supplemented with a second-order ordinary differential equation that describes swirl on the symmetry axis and the corresponding boundary conditions. A source term accounting for the symmetric swirl of the incoming jet is included in the radial momentum conservation equation, and a dimensionless parameter characterizing the swirl intensity in the boundary layer is introduced. A criterion is established from the numerical solution of the problem of a nonequilibrium boundary layer near the stagnation point in dissociated air flow. In accordance with this criterion, swirl must be taken into account when calculating the heat fluxes. Taking swirl into account reduces the heat flux at the stagnation point of the model by up to 30% at low plasmatron operating powers, whereas the swirl has almost no effect on the heat flux at high powers.