Abstract

AbstractThe two‐dimensional Navier–Stokes equations, suitably amplified to include the effects of chemical reactions and turbulence, are discretized by employing a finite‐volume technique. A weighted upwind/central differencing scheme, the weight depending on the grid Peclet number, is used for the convection terms. Velocities are calculated on staggered grids. The source terms are treated in a quasi‐implicit manner by combining linearization of these terms with an ICE procedure providing a time‐advanced pressure. The effect of turbulence is included through the eddy‐viscosity concept by solving equations for turbulent kinetic energy and its rate of decay. Combustion is modelled by an equation for mass fraction of fuel containing a fuel consumption term based on mixing‐limited combustion.The resulting code, called FLACS‐ICE, is employed in simulating the influence of confinement on flame acceleration in premixed, stoichiometric propane‐air mixtures. Calculations are performed for large (425m3), medium (35m3) and small scale (0·0036m3) vessels. Satisfactory agreement with experimental data, published by Solberg1 is obtained. Some limitations of the code are also pointed out.

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