An enthalpy method for heat conduction in tube containing phase change material

G. A. Evangelakis ,I. E. Lagaris ,D. G. Papageorgiou ,C. Prouskas

doi:10.24294/tse9781

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An enthalpy method for heat conduction in tube containing phase change material

G. A. Evangelakis

I. E. Lagaris

D. G. Papageorgiou

C. Prouskas

Thermal Science and Engineering 2025, 8(1), 9781; https://doi.org/10.24294/tse9781

Submitted：31 Oct 2024

Accepted：20 Dec 2024

Published：02 Jan 2025

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Abstract

We present an innovative enthalpy method for determining the thermal properties of phase change materials (PCM). The enthalpy-temperature relation in the "mushy" zone is modelled by means of a fifth order Obreshkov polynomial with continuous first and second order derivatives at the zone boundaries. The partial differential equation (PDE) for the conduction of heat is rewritten so that the enthalpy variable is not explicitly present, rendering the equation nonlinear. The thermal conductivity of the PCM is assumed to be temperature dependent and is modelled by a fifth order Obreshkov polynomial as well. The method has been applied to lauric acid, a standard prototype. The latent heat and the conductivity coefficient, being the model parameters, were retrieved by fitting the measurements obtained through a simple experimental procedure. Therefore, our proposal may be profitably used for the study of materials intended for heat-storage applications.

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