PurposeThis 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/approachThe 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.FindingsThe results show an influence scale on directional phase front propagation dynamics and how significant are stochastic thermal noises in micro-scale freezing.Originality/valueThe numerical calculation has modeled in the framework of the phase field method with a Cahn–Hilliard formulation of a free energy functional.
International Journal of Numerical Methods for Heat & Fluid Flow – Emerald Publishing
Published: Jul 24, 2019
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