You are using an outdated browser. Please upgrade your browser to improve your experience.
Javascript is disabled in your web browser. For full functionality of this site it is necessary to enable JavaScript.
This website is using cookies.
We use them to give you the best experience. If you continue using our website, we'll assume that you are happy to receive all cookies on this website.
CPOTE2020 logo
6th International Conference on
Contemporary Problems of Thermal Engineering
Online | 21-24 September 2020

Abstract CPOTE2020-1197-A

Book of abstracts draft
slider slider slider slider slider slider

Development of the multifluid approach for modelling of heat and mass transfer in a tissue

Oliwia NOWAKOWSKA-KROL, Silesian University of Technology, Poland
Zbigniew BULINSKI, Silesian University of Technology, Poland

In the last few decades the high (hyperthermia) and low (hypothermia) temperature have become very important medical treatment in treating civilisation diseases like cancer or cardiovascular diseases. However, in order to increase effectiveness of the therapy and decrease its negative influence on the whole organism and affected tissues, it is necessary to have reliable and robust mathematical model to be able to predict fluid flow and temperature field in tissues. The most commonly used mathematical model which is used to describe heat transfer in tissues if the Penne’s bioheat equation. Although widely used this model suffers from a number of simplifying assumptions: - neglecting heat transfer between big blood vessels and surrounding tissue, - neglecting shape of blood vessels, - isotropic flow of blood in capillary vessels, - temperature of blood entering capillary vessels equals to deep body temperature and temperature of blood exiting capillary vessels equals to tissue temperature, - neglecting of countercurrent blood flow in veins and arteries. In this paper mathematical model which does not have some of listed shortcomings was proposed. This model is based on the multifluid approach to heat and mass transfer connected with direct modelling of the big blood vessels. In the proposed approach three phases are considered fluid phase comprising vein blood, fluid phase comprising artery blood and porous medium which models tissue. This methodology was applied to model heat and mass transfer in a simplified forearm geometry. Obtained results were compared with those obtained with Penne’s model.

Keywords: Heat transfer, Mass transfer, Living tissue, Computational fluid dynamics (CFD), Multifluid approach
Acknowledgment: The research has been supported by the Polish Ministry of Science and Education within Diamentowy Grant scheme under contract 0080/DIA/2017/46.