JP Journal of Heat and Mass Transfer
Volume 21, Issue 2, Pages 291 - 300
(December 2020) http://dx.doi.org/10.17654/HM021020291 |
|
A SIMPLE MODEL TO DESCRIBE THE NON-LINEAR HEAT CONDUCTION IN MULTI-LAYER BODY WITH PHASE TRANSFORMATION
Vadim Mizonov, Andrey Mitrofanov, Evgeny Barochkin and Elena Basova
|
Abstract: The objective of the study is to build a simple yet informative mathematical model that describes the heat conduction in a multi-layer body with phase transformation in the layers. The model uses the theory of Markov chains as the mathematical tool of modeling. The body is divided into a finite number of perfectly mixed cells of different volumes, which form a chain of cells. The heat conduction matrix describes the heat exchange between the cells. If a phase transformation begins in a cell, then the evolution of the cell thermal and phase state is described with the corresponding kinetic equation of the phase transformation. The process of melting and solidification in a spherical body is used as an example to verify the qualitative predictability of the model. |
Keywords and phrases: heat conduction, non-linearity, phase transformation, Markov chain model, numerical experiment.
|
|
Number of Downloads: 157 | Number of Views: 443 |
|