Mathematical modeling of thermogasdynamics and heat and mass transfer processes with a chemically active dissociating gradient flow of viscous gas

Аuthors

Tushavina O. V.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

e-mail: tushavinaov@mai.ru

Abstract

The paper investigates heat and mass transfer during the flow of a high-temperature boundary layer around the blunted nose sections of high-speed aircraft based on an approximate analytical solution of a system of complete boundary layer equations with a strong pressure gradient. To determine the heat fluxes and temperature fields in a gas and in a blunted body, the physico-mathematical model takes into account the dynamic, diffusive and thermal boundary layers, as well as the balance of convective-diffusive, radiant and conductive heat fluxes at the gas-solid boundary. Based on the obtained approximate analytical solution of the complete boundary layer equations, the distributions of heat fluxes and temperatures along the blunt cone formator are obtained in a wide range of Mach numbers of the incoming flow, various concentrations of the atomic component of the binary gas, and a wide range of catalytic recombination rates, on which the level of diffusive heat fluxes into the wall significantly depends.

Keywords:

boundary layer, heat and mass transfer, heat fluxes, surface temperature, dissociation, two-component gas, atomic component, catalytic recombination rate, radiant heat flux, Prandtl, Reynolds, Schmidt numbers

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