Modeling of Axisymmetric Jet Flow and Combustion of Propane in Free Space Based on a Modified Turbulence Model $\boldsymbol{k}-\mathcal{E}$

Abstract

This paper proposes a numerical method for solving the problem of the propagation of an axisymmetric propane jet in an infinite satellite air flow. Dimensionless equations of the turbulent boundary layer of reacting gases in the Mises coordinates are used for modeling. In order to close the Reynolds equations, a modified low-Reynolds turbulence model is used <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$k-\varepsilon$</tex> . Considering the same intensities of convective and turbulent transfer of components and using stoichiometric relations between the concentrations of components during combustion, the five equations of transfer and conservation of components are reduced to two equations for relatively excessive concentration and combustible gas. To solve the problem in the Mises coordinates, a two-layer, six-point implicit finite-difference scheme is used, which provides a second-order accuracy of approximation by coordinates. Due to the nonlinearity of the equations of conservation and transfer of substances, an iterative process was organized. The influence of the radius of the fuel nozzle on the parameters of the turbulent jet and the torch is investigated.