Predictions of turbulent, premixed flame propagation in explosion tubes

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Abstract

A mathematical model capable of predicting the overpressures generated by gaseous explosions is described. The model is based on solutions of the fluid flow equations obtained using a second-order accurate, finite-volume integration scheme coupled to an adaptive grid algorithm. Turbulence generated ahead of a propagating flame is modelled using a κ-ε approach, whilst the premixed combustion process is described using a semiempirical method which admits both chemical kinetic and flow field influences on the burning velocity of a flame, while also maintaining realistic flame thicknesses throughout the course of a flame's propagation. Comparison of model predictions and experimental data obtained in a large-scale cylindrical vessel containing turbulence-inducing rings, reported in the literature, demonstrate the ability of the model to provide reasonable predictions of propagating turbulent premixed flames which interact with obstacles, and the resulting generation of damaging overpressures. In total, the modeling techniques described offer the potential for ultimate application to predicting the behavior of explosions in realistic, three-dimensional geometries.

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    The calculations reported in this paper were made using a modified version of the Mantis Numerics Ltd. code, COBRA. This paper is published by permission od British Gas Plc.

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