Numerical Investigation of Thermal Stability of Catalyst Granules with Internal Heat Generation in a Random Temperature Field-Reference-Cited by-同舟云学术

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

Published:2021-03-29 Issue: Volume:15 Page:14-19
ISSN:1998-0159
Container-title:International Journal of Mathematics and Computers in Simulation
language:en
Short-container-title:

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.

1. A.P. Steynberg, M.E. Dry, B.H. Davis, B.B. Breman, “Chapter 2 - Fischer-Tropsch Reactors”, Studies in Surface Science and Catalysis, Vol. 152, pp. 64-195, 2004

2. Ya.B. Zel’dovich, G.I. Barenblatt, V.B. Librovich, G.M. Makhviladze, Mathematical Theory of Combustion and Explosion, Nauka, Moscow, 1980 (in Russian).

3. D.A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics, Plenum, New York, 1969.

4. A.G. Merzhanov, E.N. Rumanov, “Nonlinear effects in macroscopic kinetics”, Uspekhi Fizicheskikh Nauk, Vol. 151 (1987) 553–593 (in Russian).

5. J. Warnatz, U. Maas, R.W. Dibble, Combustion. Physical and Chemical Fundamentals, Modeling and Simulations, Experiments, Pollutant Formation, Springer, 2001.