Simulation of Coupled Thermal and Diffusion Processes Taking Into Account a Substance Decay in a Randomly Nonhomogeneous Stratified Strip
Journal Title: Фізика і хімія твердого тіла - Year 2014, Vol 15, Issue 4
Abstract
Processes of thermodiffusion of decaying substance are investigated in a stochastically nonhomogeneous body. The statement of the contact initial-boundary value problem is made with taking into account the ideal contact conditions for temperature and non-ideal ones for concentration. The reference problem is reduced to an equivalent set of integral-differential equations. Its solution is found by the method of successive approximations in the form of Neumann series. The calculating formulae are obtained for the temperature and concentration fields averaged over the ensemble of phase configurations under the condition of the uniform distribution of phases in the body. A software package is developed and on the basis of which a dependence of averaged fields of temperature and concentration on the medium characteristics is investigated. It is shown that the time of the steady-state regime for the temperature is five orders less than for the concentration.
Authors and Affiliations
A. Y. Davydok, O. Y. Chernukha, V. Y. Goncharuk
Keywords
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