Theoretical analysis of a two-dimensional bilayer convection-diffusion-reaction-source problem
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915610551648256 |
|---|---|
| author | Umbricht, Guillermo Federico Rubio, Diana Tarzia, Domingo Alberto |
| author_facet | Umbricht, Guillermo Federico Rubio, Diana Tarzia, Domingo Alberto |
| contents | This work investigates the two-dimensional thermal behavior of a bilayer medium subject to both internal and external heat sources. The model incorporates diffusion, advection, and temperature-dependent volumetric heat generation or absorption in each layer, as well as general convective conditions on the external boundaries. The influence of interfacial thermal resistance between the two materials is also considered. An analytical solution is developed using Fourier-based techniques, and a stable and convergent finite difference method is proposed to analyze particular scenarios. The theoretical results are validated against known solutions and numerical simulations, demonstrating consistency with the expected physical behavior. The findings contribute to a deeper understanding of heat transfer phenomena in layered systems and offer potential insights for optimizing thermal performance in engineering applications involving composite materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07453 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Theoretical analysis of a two-dimensional bilayer convection-diffusion-reaction-source problem Umbricht, Guillermo Federico Rubio, Diana Tarzia, Domingo Alberto Fluid Dynamics Mathematical Physics This work investigates the two-dimensional thermal behavior of a bilayer medium subject to both internal and external heat sources. The model incorporates diffusion, advection, and temperature-dependent volumetric heat generation or absorption in each layer, as well as general convective conditions on the external boundaries. The influence of interfacial thermal resistance between the two materials is also considered. An analytical solution is developed using Fourier-based techniques, and a stable and convergent finite difference method is proposed to analyze particular scenarios. The theoretical results are validated against known solutions and numerical simulations, demonstrating consistency with the expected physical behavior. The findings contribute to a deeper understanding of heat transfer phenomena in layered systems and offer potential insights for optimizing thermal performance in engineering applications involving composite materials. |
| title | Theoretical analysis of a two-dimensional bilayer convection-diffusion-reaction-source problem |
| topic | Fluid Dynamics Mathematical Physics |
| url | https://arxiv.org/abs/2511.07453 |