Simulation of cold energy storage in a nanomaterial-filled container using the Galerkin method

This research examines the transient solidification through a geometrically complex tank containing multiple corners, which hinder uniform cold energy distribution. To improve heat transfer in these regions, tree-shaped fins were integrated into the design. The tank was filled with water (H2O), and...

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Main Authors: Nidal H. Abu-Hamdeh, Ali Basem, Hussein A.Z. AL-bonsrulah, Mashhour A. Alazwari, Sherain M.Y. Mohamed, Abdulmalik A. Aljinaidi
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X25008779
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author Nidal H. Abu-Hamdeh
Ali Basem
Hussein A.Z. AL-bonsrulah
Mashhour A. Alazwari
Sherain M.Y. Mohamed
Abdulmalik A. Aljinaidi
author_facet Nidal H. Abu-Hamdeh
Ali Basem
Hussein A.Z. AL-bonsrulah
Mashhour A. Alazwari
Sherain M.Y. Mohamed
Abdulmalik A. Aljinaidi
author_sort Nidal H. Abu-Hamdeh
collection DOAJ
description This research examines the transient solidification through a geometrically complex tank containing multiple corners, which hinder uniform cold energy distribution. To improve heat transfer in these regions, tree-shaped fins were integrated into the design. The tank was filled with water (H2O), and thermal conductivity was enhanced by introducing nano-powders. The study primarily focused on two key factors: the shape of the nano-powders and their concentration. Given that conduction dominated the heat transfer process, the governing equations were simplified accordingly. A homogeneous mixture model was applied to estimate the nanomaterial properties, assuming a uniform dispersion of nanoparticles within the fluid. The findings revealed that freezing pure water took approximately 1.36 times longer than water containing nanoparticles, demonstrating the thermal enhancement achieved with nanomaterials. Additionally, the results highlighted the efficacy of additives shape on the freezing rate, with blade-shaped particles accelerating solidification more effectively than cylindrical ones. Specifically, freezing with cylindrical powders required about 1.07 times longer than with blade-shaped powders.
format Article
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issn 2214-157X
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publishDate 2025-09-01
publisher Elsevier
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series Case Studies in Thermal Engineering
spelling doaj-art-3a5242c7a40e45bb80080dbaa0f4cd0f2025-07-05T04:47:11ZengElsevierCase Studies in Thermal Engineering2214-157X2025-09-0173106617Simulation of cold energy storage in a nanomaterial-filled container using the Galerkin methodNidal H. Abu-Hamdeh0Ali Basem1Hussein A.Z. AL-bonsrulah2Mashhour A. Alazwari3Sherain M.Y. Mohamed4Abdulmalik A. Aljinaidi5Center of Research Excellence in Renewable Energy and Power Systems/Energy Efficiency Group, King Abdulaziz University, Jeddah, Saudi Arabia; Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia; Corresponding author. Center of Research Excellence in Renewable Energy and Power Systems/Energy Efficiency Group, King Abdulaziz University, Jeddah, Saudi Arabia.Air Conditioning Engineering Department, Faculty of Engineering, Warith Al-Anbiyaa University, Karbala, 56001, IraqDepartment of Medical Instrumentation Engineering Techniques, Al Safwa University College, Karbala, 56001, IraqMechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaMathematical Department in College of Science and Humanities in Hotat Bani Tamim. Prince Sattam bin Abdul- Aziz University, Alkharj, 11942, Saudi ArabiaMechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaThis research examines the transient solidification through a geometrically complex tank containing multiple corners, which hinder uniform cold energy distribution. To improve heat transfer in these regions, tree-shaped fins were integrated into the design. The tank was filled with water (H2O), and thermal conductivity was enhanced by introducing nano-powders. The study primarily focused on two key factors: the shape of the nano-powders and their concentration. Given that conduction dominated the heat transfer process, the governing equations were simplified accordingly. A homogeneous mixture model was applied to estimate the nanomaterial properties, assuming a uniform dispersion of nanoparticles within the fluid. The findings revealed that freezing pure water took approximately 1.36 times longer than water containing nanoparticles, demonstrating the thermal enhancement achieved with nanomaterials. Additionally, the results highlighted the efficacy of additives shape on the freezing rate, with blade-shaped particles accelerating solidification more effectively than cylindrical ones. Specifically, freezing with cylindrical powders required about 1.07 times longer than with blade-shaped powders.http://www.sciencedirect.com/science/article/pii/S2214157X25008779NanoparticlesMesh adaptionFreezing timeSolid frontImplicit methodConduction mode
spellingShingle Nidal H. Abu-Hamdeh
Ali Basem
Hussein A.Z. AL-bonsrulah
Mashhour A. Alazwari
Sherain M.Y. Mohamed
Abdulmalik A. Aljinaidi
Simulation of cold energy storage in a nanomaterial-filled container using the Galerkin method
Case Studies in Thermal Engineering
Nanoparticles
Mesh adaption
Freezing time
Solid front
Implicit method
Conduction mode
title Simulation of cold energy storage in a nanomaterial-filled container using the Galerkin method
title_full Simulation of cold energy storage in a nanomaterial-filled container using the Galerkin method
title_fullStr Simulation of cold energy storage in a nanomaterial-filled container using the Galerkin method
title_full_unstemmed Simulation of cold energy storage in a nanomaterial-filled container using the Galerkin method
title_short Simulation of cold energy storage in a nanomaterial-filled container using the Galerkin method
title_sort simulation of cold energy storage in a nanomaterial filled container using the galerkin method
topic Nanoparticles
Mesh adaption
Freezing time
Solid front
Implicit method
Conduction mode
url http://www.sciencedirect.com/science/article/pii/S2214157X25008779
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