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Open AccessFeature PaperArticle

An Optimum Enthalpy Approach for Melting and Solidification with Volume Change

Chair of Thermodynamics and Transport Processes (LTTT), Centre of Energy Technology (ZET), University of Bayreuth, Universitätsstraße 30, 95440 Bayreuth, Germany
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Energies 2019, 12(5), 868; https://doi.org/10.3390/en12050868
Received: 4 February 2019 / Revised: 26 February 2019 / Accepted: 27 February 2019 / Published: 5 March 2019
(This article belongs to the Special Issue Computational Fluid Dynamics (CFD) 2018)
Classical numerical methods for solving solid–liquid phase change assume a constant density upon melting or solidification and are not efficient when applied to phase change with volume expansion or shrinkage. However, solid–liquid phase change is accompanied by a volume change and an appropriate numerical method must take this into account. Therefore, an efficient algorithm for solid–liquid phase change with a density change is presented. Its performance for a one-dimensional solidification problem and for the quasi two-dimensional melting of octadecane in a cubic cavity was tested. The new algorithm requires less than 1/9 of the iterations compared to the source based method in one dimension and less than 1/7 in two dimensions. Moreover, the new method is validated against PIV measurements from the literature. A conjugate heat transfer simulation, which includes parts of the experimental setup, shows that parasitic heat fluxes can significantly alter the shape of the phase front near the bottom wall. View Full-Text
Keywords: phase change material (PCM); optimum approach; melting; volume change; OpenFOAM; conjugate heat transfer phase change material (PCM); optimum approach; melting; volume change; OpenFOAM; conjugate heat transfer
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Faden, M.; König-Haagen, A.; Brüggemann, D. An Optimum Enthalpy Approach for Melting and Solidification with Volume Change. Energies 2019, 12, 868.

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