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Estimation of pressure fields in combustion of vapour clouds

A simplified model is developed for the dynamics of pressure fields supported by deflagrations in open axisymmetric configurations. The model employs overall conservation of mass, laws of flame propagation, overall conservation of momentum and a statement of conservation of mass and momentum across a shock that precedes the flame. The model represents an improvement over an earlier model in a number of respects, notably in allowing pressures at the flame and at the shock to differ. Explicit results for time histories are obtained by an expansion method for small values of the Mach number of flame propagation. The model may be employed to estimate overpressures that may develop subsequent to ignition of flat vapour clouds.