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Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities
1Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh.
Heliyon
|January 14, 2025
Summary
This study examines surface reactions in multilayered cavities, finding that higher Rayleigh numbers decrease temperature and oxygen. Parameters like Lewis number and heat release significantly alter flow and concentration distributions.
Area of Science:
- Multiphysics simulation
- Heat and mass transfer
- Chemical reaction engineering
Background:
- Natural convection in enclosed and open cavities is crucial in various engineering applications.
- Understanding the interplay of fluid flow, heat transfer, and chemical reactions is essential for optimizing system performance.
- Previous studies often focused on single cavities or simpler reaction models, necessitating research into complex multilayered systems.
Purpose of the Study:
- To analyze the impact of surface reactions on natural convective flow, temperature, and oxygen concentration in vertically oriented multilayered cavities.
- To develop and validate a mathematical model for simulating these complex phenomena.
- To investigate the influence of key parameters such as Rayleigh number, buoyancy force, Lewis number, and heat release on system behavior.
Main Methods:
- Formulation of a mathematical model with appropriate boundary conditions.
- Dimensionless transformation of governing equations.
- Numerical solution using the finite element method (FEM).
- Calculation of stream function via the Poisson equation.
Main Results:
- Increased Rayleigh number leads to higher maximum stream function but lower maximum temperature and oxygen concentration.
- Buoyancy force and Lewis number enhance stream function and temperature while reducing oxygen concentration.
- Lewis number and reactant consumption parameter significantly alter cavity flow structure.
- Heat release parameter increases maximum stream function and temperature.
- Wider openings result in higher stream function and oxygen concentration, with a non-monotonic effect on temperature.
- Maximum flow intensity consistently occurs near the bottom opening of the top cavity.
Conclusions:
- Surface reactions profoundly influence transport phenomena in multilayered cavities.
- System performance is sensitive to variations in Rayleigh number, Lewis number, and heat release.
- The study provides valuable insights into optimizing designs involving natural convection and chemical reactions in complex geometries.
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