Mathematical modelling of burning surface in parallel flow of oxidant

Veronika Tyurenkova,Nickolay Smirnov,Nickolay Smirnov,Mariya Smirnova,A Mebel,V Azyazov

doi:10.1051/matecconf/201820900007

Veronika Tyurenkova, Nickolay Smirnov + Show 4 more

Open Access

https://doi.org/10.1051/matecconf/201820900007

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Abstract

The paper presents the problem of condensed material surface burning in a flow of oxidant within the framework of the assumptions of the laminar boundary-layer theory. It is used assumption of fuel gasification and gas phase chemical reacting in a diffusion flame. The regression rate of the material surface in the turbulent and laminar flow regimes is studied. The zones correspond to kinetic and diffusion regime is defined.

Highlights

The condensed fuel burning in an oxidant gas flow occurs in investigations of various processes, for example: burning of fuel in hybrid engines; interaction of hypersonic flying vehicles with the atmosphere; exo- and endothermic reactions in chemical engineering; spreading of flame over the fuel surface, the origination of explosions and the propagation of detonation in unmixed two-phase systems of the gas-film type
The present work investigates the burning of the flat surface of fuel in an oxidant flow in the absence of an axial pressure gradient
Near the fuel surface in the gas, the boundary layer develops in the interior of which there proceed chemical reactions between the fuel vapours and the oxidant

Summary

Introduction

The condensed fuel burning in an oxidant gas flow occurs in investigations of various processes, for example: burning of fuel in hybrid engines; interaction of hypersonic flying vehicles with the atmosphere; exo- and endothermic reactions in chemical engineering; spreading of flame over the fuel surface, the origination of explosions and the propagation of detonation in unmixed two-phase systems of the gas-film type. Near the fuel surface in the gas, the boundary layer develops in the interior of which there proceed chemical reactions between the fuel vapours and the oxidant. Since these are exothermic reactions, energy is given up by the boundary layer in the gas. The heat from the heated gas transfers to the fuel layer which, having evaporated, gains access, as a result of diffusion, the boundary layer, where it enters into reaction with the oxidant. As a result of continuous inflow of heat from the gas phase, the fuel becomes warmed up and a temperature boundary layer develops near the phase interface

Mathematical problem statement

Self-similar problem solution y

Regression rate