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  4. Simulation of mass flows of decaying substance in layer with periodically located thin channels

Simulation of mass flows of decaying substance in layer with periodically located thin channels

MMC.
2014;
Volume 1, Number 1
: pp. 17-30
https://doi.org/10.23939/mmc2014.01.017
Received: July 01, 2014

Math. Model. Comput. Vol. 1, No. 1, pp. 17-30 (2014)

Authors:
  1. O. Chernukha
  2. V. Dmytruk
  3. V. Goncharuk
1
Centre of Mathematical Modelling of Ukrainian National Academy of Sciences
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University

In this paper the processes of admixture convective diffusion in two-phase structures with periodically located thin channels are investigated with taking into account a natural decay of migrating substance. With the help of application of appropriate integral transforms separately in the contacting domains, a solution of the contact initial boundary value problem of convective diffusion of decaying substance is obtained. The correlations between these integral transforms are found using the non-ideal contact conditions imposed for the concentration function. Expressions for decaying particle flows through arbitrary cross-section of the body are found and investigated, and their numerical analysis is carried out in the middle of both domains — the thin channel and basic material. It is shown that the decay intensity of the migrating substance especially affects the flow distribution in the domain of basic material.

diffusion
convection
admixture decay
regular structure
thin channel
mass flow
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