Studying the Thermal Detonation Process Using the Microinteractions Model
DOI:
https://doi.org/10.24160/1993-6982-2017-2-32-39Keywords:
steam explosion, thermal detonation, mathematical model, microinteraction model, multiphase processesAbstract
The article presents the results from numerically simulating (using the VAPEX-D code) the development of thermal detonation waves in the “corium melt – steam-water mixture” system using the model of microinteractions for ex-vessel steam explosion conditions. A distinctive feature of this model is that all water contained in the considered system is conditionally divided into two parts (phases). One of these parts includes water that locates in close proximity to melt fragments and participates in rapid heat-transfer processes, and the second part includes water that locates relatively far away from these fragments. The article gives a detailed description of the thermal detonation model that was developed for the VAPEX-D code. Four interacting phases are considered in the model: (1) large (initial) melt droplets, (2) small melt fragments generated during fragmentation of large droplets, (3) water located relatively far away from these fragments (“far” water), and (4) water located in close proximity to melt fragments (“near” water), a so called m-phase. It is assumed that the m-phase is steam, which is in thermal and velocity equilibrium with the generated melt fragments. Calculations aimed at analyzing the way in which the thermal detonation wave achieves the stationary propagation mode were carried out. The values of pressure wave amplitude and propagation velocity as functions of the initial melt volume fraction were determined. The steady thermal detonation wave existence limits were investigated. It is shown that the thermal detonation wave existence region expands with decreasing the void fraction in the initial system; that is, detonation occurs at lower values of the melt volumetric fraction.
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