Numerical Investigation of Thermal Stability of Catalyst Granules with Internal Heat Generation in a Random Temperature Field

Author:

Derevich Igor1,Galdina Daria1

Affiliation:

1. Department of Applied Mathematics Moscow State University by N.E. Bauman (MSTU) Russian Federation

Abstract

Method for numerical simulation of temperature of granules with internal heat release in a medium with random temperature fluctuations it is proposed. The method utilized solution of a system of ordinary stochastic differential equations describing temperature fluctuations of surrounding and granules. Autocorrelation function of temperature fluctuations has a finite decay time. The suggested method is verified by the comparison with exact analytical results. Random temperature behavior of a granule with internal heat release qualitatively differs from the results obtained in the deterministic approach. Mean first passage time of granules temperature intersects critical temperature is estimated at different regime parameters.

Publisher

North Atlantic University Union (NAUN)

Subject

Applied Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference17 articles.

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