The Waste Treatment Plant (WTP), located at the U.S. Department of Energy’s Hanford Site, will process waste slurries capable of retaining a dispersed non-condensable gas phase while in a quiescent state. Under postulated conditions, a pressure pulse generated from a deflagration or detonation within a flammable gas pocket may be transmitted into piping systems that contain the gas-liquid slurry. It is necessary to understand how a pressure pulse diminishes as it propagates through the system in order to properly quantify the structural loading on the piping and its associated supports. Earlier work presented a set of conservation equations and discussed the dynamics of individual bubble oscillations but still required discretization within a numerical CFD solver (Reference PVP2015-45972). To simplify the computation requirements, a one-dimensional pursuit model that calculated the rarefaction wave catch-up was developed and compared to experimental data.

This paper presents a one-dimensional model that utilizes the difference in speeds of the shock and acoustic rarefaction waves in the two-phase media to model the propagation and diminishment of a traveling pressure shock wave. The rarefaction waves overtake the shock front which is then rapidly diminished and decreases speed accordingly. Results of the pursuit model are compared to experimental data and shown to accurately capture the diminishment behavior and shock propagation.

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