Simulation of an Electrothermal Explosion of a Gas-Free System. Effect of Conductive Heat Transfer and Joule Heating Power
A. V. Shcherbakov, V. A. Shcherbakov
Merzhanov Institute of Structural Macrokinetics and Materials Science, Russian Academy of Sciences, Chernogolovka,Russia
Keywords: mathematical modeling, electrothermal explosion, electrical power, ignition, integral transformation depth
Abstract
Mathematical modeling was used to study the modes of electrothermal explosion of a gasless system surrounded by a dielectric medium. The influence of the intensity of conductive heat transfer and Joule heating power on the formation of dimensionless temperature and concentration profiles, the integral depth of transformation and the speed of propagation of the reaction front is considered. To separate the stages of ignition and propagation of the reaction, the criterion was to achieve a conversion depth of 0.99 at any point in the sample. The amount of product formed at the ignition stage was determined. It is shown that near critical conditions during ignition on the axis of the sample, a large depth of transformation is achieved, leading to a displacement of the ignition zone from the axis to the surface of the sample.
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