Mathematical modeling of a thermal storage system by numerical resolution

Sebbar, El Hassan and Cheddour, Ayoub (2026) Mathematical modeling of a thermal storage system by numerical resolution. POLLACK PERIODICA: AN INTERNATIONAL JOURNAL FOR ENGINEERING AND INFORMATION SCIENCES, 21 (1). pp. 46-53. ISSN 1788-1994

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Abstract

The study explores the integration of phase change materials in a solar water heater to store energy via latent heat and release it as needed. Numerical simulations compare three configurations of a thin phase change materials layer. The melting rate, the evolution of the outlet temperature, and the fluid phase change materials heat transfer are analyzed. Configuration 2 shows controlled melting at 82%, thanks to a stable heat flux (2 W m −2 ) and optimized transfer, limiting losses. Configuration 1 melts at 1% (inefficient heat capture), and configuration 3 at 25% irregularly, with unstable flows. These results highlight the importance of the phase change materials location: configuration 2, by balancing storage and release, improves the energy efficiency of the system.

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