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SHORT REVIEW OF MATHEMATICAL MODELS FOR PCM INTEGRATION IN BUILDING ENVELOPES

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Abstract: This review examines mathematical models for the integration of Phase Change Materials (PCMs) within building envelopes, focusing on energy efficiency and thermal comfort enhancements from 2013 to 2020. Various modeling strategies, optimization approaches, and experimental validation methods were assessed, highlighting key parameters such as PCM thickness, placement, and melting temperature. The review identifies significant advancements, including parametric analyses, metamodeling techniques, multi-objective optimization frameworks, and innovative performance metrics. Results indicate PCM integration substantially reduces heating and cooling loads, optimizes indoor temperature stability, and improves overall building energy performance. The findings underscore the potential and challenges of PCM implementation, emphasizing the need for further economic analyses and enhanced computational modeling. Methods and materials: The study reviewed 29 academic papers published between 2013 and 2020, selected based on their relevance to PCM integration into building envelopes. Methodologies involved detailed analysis of parametric studies, simulation-based optimizations (e.g., EnergyPlus, GenOpt, NSGA-II algorithms), metamodeling techniques, and performance validation through experimental setups. Key variables assessed included PCM thermophysical properties, PCM layer thickness and placement, and climatic conditions affecting performance. Results: The reviewed studies consistently demonstrated PCM's effectiveness in stabilizing indoor temperatures, reducing energy demand, and enhancing thermal comfort. Specific findings showed significant heating energy reductions (up to 23%) with optimized PCM wallboards, notable cooling load decreases in tropical climates, and improved year-round thermal performance. Innovative performance indicators, such as Relative Depth of Activation (RDA) and Time Rate of Activation (TRA), provided new insights into PCM utilization efficiency. However, results also highlighted complexities in accurately modeling PCM behavior and emphasized the importance of tailored PCM selection and integration strategies for different climatic conditions.

AUTHORS

D.Jalilov

O‘zbekiston Respublikasi Fanlar akademiyasi Fizika-texnika instituti

T.Jurayev

O‘zbekiston Respublikasi Fanlar akademiyasi Fizika-texnika instituti

A.Halimov

O‘zbekiston Respublikasi Fanlar akademiyasi Fizika-texnika instituti

A.Shukurov

O‘zbekiston Respublikasi Fanlar akademiyasi Fizika-texnika instituti

I.Ismoilov

Qayta tiklanuvchi energiya manbalari milliy ilmiy-tadqiqot instituti

J.Axatov

O‘zbekiston Respublikasi Fanlar akademiyasi Fizika-texnika instituti

Tags

# mathematical modeling# оптимизация# математическое моделирование# optimization# matematik modellashtirish# энергоэффективность# energy efficiency# optimallashtirish# тепловой комфорт# thermal comfort# energiya samaradorligi# issiqlik qulayligi# Phase Change Materials# Building envelopes# материалы с фазовым переходом# ограждающие конструкции зданий# Faza o‘zgarish materiallari# bino tashqi devorlari

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Article Identifiers

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https://eroi.uz/11.0032/A0825-0032

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