MATHEMATICAL MODEL FOR 1D, TWO-PHASE FLOW

Abstract eng:
In this paper a mathematical model for 1D, two-phase flow in a duct is presented. Such kind of flow is frequently met when the pressure attains the saturation value so that bubbles of vapour and gas are released in the flow. The model is defined considering the balance equations of mass and momentum for the mixture constituted by both phases and the balance equations of mass and energy for the vapour phase. Such a model consists of four partial, differential, first order equations, whose characteristic directions are all real. The initial value problem corresponding to the proposed model is then well posed. Numerical simulations were compared with experimental data, found in literature. The agreement is found to be satisfactory.

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