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Bidispersive-inclined convection
Paolo Falsaperla1, Giuseppe Mulone1, Brian Straughan2
1Dipartimento di Matematica e Informatica , Città Universitaria , Viale A. Doria, 6, 95125 Catania, Italy.
Proceedings. Mathematical, Physical, and Engineering Sciences
|September 13, 2016
Summary
This study models thermal convection in inclined porous media with bidispersive structures, featuring both macropores and micropores. The findings advance understanding of heat transfer in complex porous materials.
Area of Science:
- Geophysics
- Porous Media Physics
- Fluid Dynamics
Background:
- Thermal convection in porous media is crucial for geothermal energy and subsurface heat transport.
- Bidispersive porous media, with interconnected macropores and micropores, exhibit complex fluid flow and heat transfer characteristics.
- Existing models often simplify the pore structure, potentially overlooking important thermal phenomena.
Purpose of the Study:
- To develop and present a mathematical model for thermal convection in an inclined porous layer with a bidispersive structure.
- To investigate the influence of bidispersivity on heat transfer mechanisms within the porous medium.
- To provide a refined framework for analyzing heat transport in geological formations and engineered systems.
Main Methods:
- A modified mathematical model based on Nield & Kuznetsov (2006) was employed.
- The model incorporates a bidispersive porous medium structure with macropores and micropores.
- A single temperature field was considered for the analysis.
Main Results:
- The model successfully captures thermal convection in a bidispersive porous medium.
- The interplay between macropore and micropore flow influences the overall heat transfer characteristics.
- The inclined layer geometry introduces anisotropic effects on the convective flow.
Conclusions:
- The bidispersive model offers a more realistic representation of thermal convection in certain porous materials.
- This approach enhances the understanding of heat transfer in complex geological and engineered systems.
- Further research can extend the model to include multiple temperature fields and varying fluid properties.
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