The numerical modeling of cell freezing in binary solution under subcooling conditions

Przemysław Smakulski (Department of Thermodynamics, Theory of Machines and Thermal Systems, Wrocław University of Science and Technology, Wrocław, Poland)
Sławomir Pietrowicz (Department of Thermodynamics, Theory of Machines and Thermal Systems, Wrocław University of Science and Technology, Wrocław, Poland)
Jun Ishimoto (Innovative Energy Research Center, Multiphase Flow Energy Laboratory, Institute of Fluid Science, Tohoku University, Sendai, Japan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 24 July 2019

Abstract

Purpose

This paper aims to describe and investigate the mathematical models and numerical modeling of how a cell membrane is affected by a transient ice freezing front combined with the influence of thermal fluctuations and anisotropy.

Design/methodology/approach

The study consists of mathematical modeling, validation with an analytical solution, and shows the influence of thermal noises on phase front dynamics and how it influences the freezing process of a single red blood cell. The numerical calculation has been modeled in the framework of the phase field method with a Cahn–Hilliard formulation of a free energy functional.

Findings

The results show an influence scale on directional phase front propagation dynamics and how significant are stochastic thermal noises in micro-scale freezing.

Originality/value

The numerical calculation has modeled in the framework of the phase field method with a Cahn–Hilliard formulation of a free energy functional.

Keywords

Citation

Smakulski, P., Pietrowicz, S. and Ishimoto, J. (2019), "The numerical modeling of cell freezing in binary solution under subcooling conditions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/HFF-12-2018-0740

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Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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