Thermo-Fluid Dynamics of Solid-Liquid Phase Change Problems : Parabolic and Hyperbolic Approaches


Youssef Belhamadia is an Associate Professor of Mathematics at the American University of Sharjah (AUS) in the United Arab Emirates. He obtained his Ph.D. in Mathematics from Laval University, Qu ́ebec, Canada. Prior to joining AUS, he was a contract assistant profes- sor in Campus Saint-Jean at the University of Alberta, Canada, and an adjunct assistant professor in the Department of Biomedical Engineering and Department of Mathematical and Statistical Sciences at the University of Alberta. His research interests include the nu- merical modeling of phase-change heat and mass transfer and the development of numerical methods for cardiac electrocardiology models. His work has been awarded funds from the Natural Sciences and Engineering Research Council of Canada, Heart and Stroke Foundation of Canada, the Royal Society in UK, and the American University of Sharjah.


The study of thermo-fluid dynamics related to solid-liquid phase change problems is significant in numerous engineering and industrial applications, including crystal growth, continuous casting, and energy storage, among others. In recent years, a variety of numerical and theoretical techniques have been developed to provide the necessary tools for unders- tanding the physical processes. Nevertheless, the numerical modeling of these systems is still a challenging and ongoing research area.

The objective of this talk is to present recent developments in computational thermo- fluid dynamics of solid-liquid phase change systems. Firstly, we will derive the mathematical models for the parabolic phase change system with and without convection, which predict an infinite thermal wave speed of propagation. Secondly, we will present a hyperbolic approach to predict the finite speed of heat propagation in phase change systems. Suitable numerical methods for solving the derived models using both approaches will be illustrated. Numerical simulations on water solidification, gallium melting, and continuous casting will be explored to assess the performance of the proposed techniques.

Email: ybelhamadia@aus.edu

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