Modeling conduction in composite spheres with time dependent convective boundary conditions - Application to periodic boiling of eggs
This study presents a comprehensive analytical solution for heat conduction in a two-layer composite sphere subjected to time-dependent convective boundary conditions. The general model is used to simulate the periodic boiling of eggs, accounting for the distinct thermal properties of the albumen an...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-09-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123025022546 |
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| author | Rajai S. Alassar Husain Al-Attas |
| author_facet | Rajai S. Alassar Husain Al-Attas |
| author_sort | Rajai S. Alassar |
| collection | DOAJ |
| description | This study presents a comprehensive analytical solution for heat conduction in a two-layer composite sphere subjected to time-dependent convective boundary conditions. The general model is used to simulate the periodic boiling of eggs, accounting for the distinct thermal properties of the albumen and yolk. It tracks the temperature evolution along the egg’s radius and investigates how cyclic heating influences the internal thermal distribution. It is confirmed that heating profiles can be strategically tailored to achieve specific cooking goals, such as uniform yolk coagulation or maintaining the texture of the albumen. The exact solution has broader applications in food processing industries such as drying of fruits under non-uniform thermal loads. |
| format | Article |
| id | doaj-art-850d7d64c00d48bd9d15b0e04440ada1 |
| institution | Matheson Library |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj-art-850d7d64c00d48bd9d15b0e04440ada12025-07-17T04:44:52ZengElsevierResults in Engineering2590-12302025-09-0127106182Modeling conduction in composite spheres with time dependent convective boundary conditions - Application to periodic boiling of eggsRajai S. Alassar0Husain Al-Attas1Corresponding author.; King Fahd University of Petroleum & Minerals, Department of Mathematics, Interdisciplinary Research Center for Sustainable Energy Systems, KFUPM Box 1620, Dhahran 31261, Saudi ArabiaKing Fahd University of Petroleum & Minerals, Department of Mathematics, Interdisciplinary Research Center for Sustainable Energy Systems, KFUPM Box 1620, Dhahran 31261, Saudi ArabiaThis study presents a comprehensive analytical solution for heat conduction in a two-layer composite sphere subjected to time-dependent convective boundary conditions. The general model is used to simulate the periodic boiling of eggs, accounting for the distinct thermal properties of the albumen and yolk. It tracks the temperature evolution along the egg’s radius and investigates how cyclic heating influences the internal thermal distribution. It is confirmed that heating profiles can be strategically tailored to achieve specific cooking goals, such as uniform yolk coagulation or maintaining the texture of the albumen. The exact solution has broader applications in food processing industries such as drying of fruits under non-uniform thermal loads.http://www.sciencedirect.com/science/article/pii/S2590123025022546ConductionLayered SphereEggsPeriodic boiling |
| spellingShingle | Rajai S. Alassar Husain Al-Attas Modeling conduction in composite spheres with time dependent convective boundary conditions - Application to periodic boiling of eggs Results in Engineering Conduction Layered Sphere Eggs Periodic boiling |
| title | Modeling conduction in composite spheres with time dependent convective boundary conditions - Application to periodic boiling of eggs |
| title_full | Modeling conduction in composite spheres with time dependent convective boundary conditions - Application to periodic boiling of eggs |
| title_fullStr | Modeling conduction in composite spheres with time dependent convective boundary conditions - Application to periodic boiling of eggs |
| title_full_unstemmed | Modeling conduction in composite spheres with time dependent convective boundary conditions - Application to periodic boiling of eggs |
| title_short | Modeling conduction in composite spheres with time dependent convective boundary conditions - Application to periodic boiling of eggs |
| title_sort | modeling conduction in composite spheres with time dependent convective boundary conditions application to periodic boiling of eggs |
| topic | Conduction Layered Sphere Eggs Periodic boiling |
| url | http://www.sciencedirect.com/science/article/pii/S2590123025022546 |
| work_keys_str_mv | AT rajaisalassar modelingconductionincompositesphereswithtimedependentconvectiveboundaryconditionsapplicationtoperiodicboilingofeggs AT husainalattas modelingconductionincompositesphereswithtimedependentconvectiveboundaryconditionsapplicationtoperiodicboilingofeggs |