TY - JOUR

T1 - Two approaches to modeling the boundary layer of the vibrationally nonequilibrium dissociating diatomic gas

AU - Grigoryev, Yurii N.

AU - Gorobchuk, Aleksey G.

AU - Ershov, Igor V.

N1 - This work was supported by the Russian Foundation for Basic Research (Grant No. 20-01-00168a).

PY - 2023/2/16

Y1 - 2023/2/16

N2 - A physical and mathematical model of a plane supersonic boundary layer of a vibrationally excited dissociating gas in the Prandtl approximation is presented. The simplest case of a diatomic gas, parameterized according to the data for nitrogen, is considered. Some simplified formulas for calculating the transport coefficients and the reaction rates of dissociation and recombination for a molecular-atomic mixture are substantiated, which are admissible for typical conditions of super- and hypersonic boundary layers. Comparative calculations of numerical and locally self-similar solutions of the equations of boundary layers on a plate for typical conditions of a high-enthalpy wind tunnel and hypersonic flight in the upper atmosphere are carried out. It is shown that the atomic concentration profiles calculated on the basis of these approaches differ significantly. In this regard, in order to adequately take into account the effect of chemical reactions in the calculations of the stability of boundary layers, it is necessary to use the profiles of hydrodynamic parameters calculated numerically on the base of the full boundary layer equations. Locally self-similar solutions can serve as initial conditions for numerical calculations.

AB - A physical and mathematical model of a plane supersonic boundary layer of a vibrationally excited dissociating gas in the Prandtl approximation is presented. The simplest case of a diatomic gas, parameterized according to the data for nitrogen, is considered. Some simplified formulas for calculating the transport coefficients and the reaction rates of dissociation and recombination for a molecular-atomic mixture are substantiated, which are admissible for typical conditions of super- and hypersonic boundary layers. Comparative calculations of numerical and locally self-similar solutions of the equations of boundary layers on a plate for typical conditions of a high-enthalpy wind tunnel and hypersonic flight in the upper atmosphere are carried out. It is shown that the atomic concentration profiles calculated on the basis of these approaches differ significantly. In this regard, in order to adequately take into account the effect of chemical reactions in the calculations of the stability of boundary layers, it is necessary to use the profiles of hydrodynamic parameters calculated numerically on the base of the full boundary layer equations. Locally self-similar solutions can serve as initial conditions for numerical calculations.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85149690301&origin=inward&txGid=f52adf9ba9d8e5fc7776037dcd10a887

UR - https://www.mendeley.com/catalogue/5de435db-318b-3971-8538-31ac3e3a0de4/

U2 - 10.1063/5.0132321

DO - 10.1063/5.0132321

M3 - Conference article

VL - 2504

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

M1 - 030080

T2 - 2021 Actual Problems of Continuum Mechanics: Experiment, Theory, and Applications

Y2 - 20 September 2021 through 24 September 2021

ER -