Numerical Study of Thermal Stability of a Catalyst Granule with Internal Heat Release in Random Field of Medium Temperature

A method is proposed for simulating the temperature of a granule with internal heat release that is immersed in a medium with random temperature fluctuations. The method is based on solving the system of stochastic ordinary differential equations that presents the medium temperature fluctuations as a random process with the finite time of the autocorrelation function decay. The method testing is conducted on the basis of comparing the test data with exact analytical results. It is shown that the behavior of temperature of the granule with internal heat release in a random medium differs qualitatively from the results obtained within the deterministic approach. The time that elapses before the heat explosion in a medium with temperature fluctuations is calculated for different regime parameters.

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