Abstract

An analysis of transient one-dimensional pool boiling due to volume heating developed previously is extended to non-convex relations between vapor-void fraction and vapor “drift” flux. The methods of kinematic wave and discontinuity analysis are applied to problems of boilup with foam formation. Detailed analysis of a flux relation with one inflexion point demonstrates a variety of propagation phenomena including: dissipation of the foaming pool top shock, boilup, boilover and boildown to residual steady boiling, delayed second shock formation with and without interaction between it and the pool top discontinuity at intermediate times, confluence of shocks, and their interactions with foam rarefaction. Conditions for the occurrence of such phenomena are presented and derived in detail.

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