Natural Convection Dynamics in Enclosed Geometries
Summary
Natural convection in enclosed geometries arises when differential heating induces buoyancy‐driven flows within cavities or channels. Such flows are governed principally by the Rayleigh number, which encapsulates the balance between buoyant forcing and dissipative effects, and by the geometry of the enclosure, which dictates the emergence of boundary layers, plume structures and recirculation zones. In simple enclosures, laminar circulation cells develop adjacent to heated and cooled surfaces, whereas in more complex or larger cavities the flow undergoes transitions through a sequence of instabilities, leading to wavy rolls, multi‐cellular patterns and ultimately turbulence. The behaviour within cubical, rectangular or inclined cavities is further influenced by aspect ratio, wall conductivity and the presence of internal obstacles or fins. Understanding these dynamics is essential for efficient thermal management in electronics, optimisation of building envelopes and design of solar collectors, as well as for fundamental insights into bifurcation phenomena and multiphase interactions under buoyant forcing.
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Natural Convection Dynamics in Enclosed Geometries publication trend
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Technical terms
Rayleigh number: Dimensionless parameter expressing the ratio of buoyancy to viscous and thermal diffusion forces in a fluid layer.
Nusselt number: Dimensionless measure of convective heat transfer relative to conduction across a fluid layer.
Boussinesq approximation: Simplifying assumption treating density as constant except in buoyancy terms, enabling linearisation of the momentum equations.
Boundary layer: Thin region adjacent to a solid surface where velocity and temperature gradients are concentrated.
Bifurcation: Qualitative change in flow topology or solution branch structure as a control parameter, such as Rayleigh number, is varied.
References
- Simulation of flow and heat transfer in a differentially heated cubical cavity using coarse Large Eddy Simulation. International Journal of Thermal Sciences (2023).
- Natural convection in a vertical channel. Part 1. Wavenumber interaction and Eckhaus instability in a narrow domain. Journal of Fluid Mechanics (2024).
- Tilt Angle’s Effects on Free Convection Heat Transfer Coefficient inside a Water-Filled Rectangular Parallelepiped Enclosure. Processes (2022).
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