Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity
Abstract In this paper, we have studied the thermodynamical interactions in a two-dimensional thermoelastic diffusion in homogeneous isotropic medium with nonlocal, rotation and double porosity in the context of Green–Lindsay theory. A thermal load was applied to the medium’s outer free surface. By...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2025-05-01
|
| Series: | Scientific Reports |
| Subjects: | |
| Online Access: | https://doi.org/10.1038/s41598-025-97334-3 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849728257259208704 |
|---|---|
| author | Doaa M. Salah A. M. Abd-Alla S. M. M. El-Kabeir |
| author_facet | Doaa M. Salah A. M. Abd-Alla S. M. M. El-Kabeir |
| author_sort | Doaa M. Salah |
| collection | DOAJ |
| description | Abstract In this paper, we have studied the thermodynamical interactions in a two-dimensional thermoelastic diffusion in homogeneous isotropic medium with nonlocal, rotation and double porosity in the context of Green–Lindsay theory. A thermal load was applied to the medium’s outer free surface. By employing the Lame’s potential and normal mode technique, we derived analytical expressions for field quantities such as thermal stresses, displacement components, temperature field, equilibrated stresses and diffusion. Numerical computations conducted using MATLAB programming for a specific material, illustrated the results. Several graphs are presented to examine the effects of time, nonlocal parameter, double porosity and rotation. Furthermore, comparisons are made between CT, LS, and GL theories. The theoretical and numerical results were found to be in close agreement. Computer-simulated numerical results are presented through graphical representations illustrating the physical quantities for both the nonlocal thermoelastic half-space with double porosity under the influence of rotation. Additionally, the results offer valuable insights for fields such as geophysics and biomedical engineering, where the interaction between multiple fields is critical. Comparative plots further illustrate the nonlocal parameter, time, rotation and porosity effects on the wave propagation properties. |
| format | Article |
| id | doaj-art-d647eefbff9f422b981be9c1e7e18b3e |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-d647eefbff9f422b981be9c1e7e18b3e2025-08-20T03:09:35ZengNature PortfolioScientific Reports2045-23222025-05-0115111910.1038/s41598-025-97334-3Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosityDoaa M. Salah0A. M. Abd-Alla1S. M. M. El-Kabeir2Department of Mathematics, Faculty of Science, Sohag UniversityDepartment of Mathematics, Faculty of Science, Sohag UniversityDepartment of Mathematics, Faculty of Science, Aswan UniversityAbstract In this paper, we have studied the thermodynamical interactions in a two-dimensional thermoelastic diffusion in homogeneous isotropic medium with nonlocal, rotation and double porosity in the context of Green–Lindsay theory. A thermal load was applied to the medium’s outer free surface. By employing the Lame’s potential and normal mode technique, we derived analytical expressions for field quantities such as thermal stresses, displacement components, temperature field, equilibrated stresses and diffusion. Numerical computations conducted using MATLAB programming for a specific material, illustrated the results. Several graphs are presented to examine the effects of time, nonlocal parameter, double porosity and rotation. Furthermore, comparisons are made between CT, LS, and GL theories. The theoretical and numerical results were found to be in close agreement. Computer-simulated numerical results are presented through graphical representations illustrating the physical quantities for both the nonlocal thermoelastic half-space with double porosity under the influence of rotation. Additionally, the results offer valuable insights for fields such as geophysics and biomedical engineering, where the interaction between multiple fields is critical. Comparative plots further illustrate the nonlocal parameter, time, rotation and porosity effects on the wave propagation properties.https://doi.org/10.1038/s41598-025-97334-3Nonlocal thermoelasticDiffusionDouble porosityRotationNormal mode |
| spellingShingle | Doaa M. Salah A. M. Abd-Alla S. M. M. El-Kabeir Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity Scientific Reports Nonlocal thermoelastic Diffusion Double porosity Rotation Normal mode |
| title | Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity |
| title_full | Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity |
| title_fullStr | Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity |
| title_full_unstemmed | Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity |
| title_short | Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity |
| title_sort | influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity |
| topic | Nonlocal thermoelastic Diffusion Double porosity Rotation Normal mode |
| url | https://doi.org/10.1038/s41598-025-97334-3 |
| work_keys_str_mv | AT doaamsalah influenceofnonlocalonarotatingthermoelasticmediumwithdiffusionanddoubleporosity AT amabdalla influenceofnonlocalonarotatingthermoelasticmediumwithdiffusionanddoubleporosity AT smmelkabeir influenceofnonlocalonarotatingthermoelasticmediumwithdiffusionanddoubleporosity |