A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source
This work examines the dynamic response of a heat source (inner sphere of radius a) embedded within a concentric spherical body (outer radius b), governed by the one-relaxation-time generalized thermoelastic diffusion theory. The outer sphere is subjected to a thermal load while remaining stress-fre...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-09-01
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| Series: | Case Studies in Thermal Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X25008007 |
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| author | Mohamed F. Abbas Mohamed F. Zaky Baraa A. Ahmed Samar A. Mahrous |
| author_facet | Mohamed F. Abbas Mohamed F. Zaky Baraa A. Ahmed Samar A. Mahrous |
| author_sort | Mohamed F. Abbas |
| collection | DOAJ |
| description | This work examines the dynamic response of a heat source (inner sphere of radius a) embedded within a concentric spherical body (outer radius b), governed by the one-relaxation-time generalized thermoelastic diffusion theory. The outer sphere is subjected to a thermal load while remaining stress-free. A Laplace transform approach is used to solve the governing equations. The subsequent inverse transform yields the spatial distributions of temperature, displacement, radial stress, concentration, and chemical potential. Numerical results reveal a weak dependence of temperature but strong dependence of displacement and stress on the duration of thermal loading. The study underscores the importance of generalized thermoelastic diffusion theory in accurately modeling complex engineering scenarios. |
| format | Article |
| id | doaj-art-b03eb62fe03e46e9ad5abcfc44e85df2 |
| institution | Kabale University |
| issn | 2214-157X |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj-art-b03eb62fe03e46e9ad5abcfc44e85df22025-08-20T03:27:48ZengElsevierCase Studies in Thermal Engineering2214-157X2025-09-017310654010.1016/j.csite.2025.106540A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat sourceMohamed F. Abbas0Mohamed F. Zaky1Baraa A. Ahmed2Samar A. Mahrous3Institute of Basic and Applied Science, College of Engineering, Arab Academy for Science, Technology and Maritime Transport, Alexandria, EgyptInstitute of Basic and Applied Science, College of Engineering, Arab Academy for Science, Technology and Maritime Transport, Alexandria, EgyptInstitute of Basic and Applied Science, College of Engineering, Arab Academy for Science, Technology and Maritime Transport, Alexandria, EgyptCorresponding author.; Institute of Basic and Applied Science, College of Engineering, Arab Academy for Science, Technology and Maritime Transport, Alexandria, EgyptThis work examines the dynamic response of a heat source (inner sphere of radius a) embedded within a concentric spherical body (outer radius b), governed by the one-relaxation-time generalized thermoelastic diffusion theory. The outer sphere is subjected to a thermal load while remaining stress-free. A Laplace transform approach is used to solve the governing equations. The subsequent inverse transform yields the spatial distributions of temperature, displacement, radial stress, concentration, and chemical potential. Numerical results reveal a weak dependence of temperature but strong dependence of displacement and stress on the duration of thermal loading. The study underscores the importance of generalized thermoelastic diffusion theory in accurately modeling complex engineering scenarios.http://www.sciencedirect.com/science/article/pii/S2214157X25008007DiffusionGeneralized thermoelasticityLaplace transformsThermoelastic diffusion |
| spellingShingle | Mohamed F. Abbas Mohamed F. Zaky Baraa A. Ahmed Samar A. Mahrous A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source Case Studies in Thermal Engineering Diffusion Generalized thermoelasticity Laplace transforms Thermoelastic diffusion |
| title | A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source |
| title_full | A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source |
| title_fullStr | A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source |
| title_full_unstemmed | A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source |
| title_short | A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source |
| title_sort | study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source |
| topic | Diffusion Generalized thermoelasticity Laplace transforms Thermoelastic diffusion |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X25008007 |
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