Natural convection in a square cavity containing two heat-generating cylinders with different geometries

Natural convection coupled to surface radiation in an air‐filled square cavity containing two heat‐generating bodies

“…The dimensionless governing equations (continuity, momentum, and energy) are expressed as follows 6,49 : $$$\frac{\partial U}{\partial X}+\frac{\partial V}{\partial Y}=0,$$$ $$$U\frac{\partial U}{\partial X}+V\frac{\partial U}{\partial Y}=-\frac{\partial P}{\partial X}+\text{Pr}{\nabla }^{2}U,$$$ $$$U\frac{\partial V}{\partial X}+V\frac{\partial V}{\partial Y}=-\frac{\partial P}{\partial Y}+\text{Pr}{\nabla }^{2}V+\text{Pr}{\text{Ra}}_{{\rm{m}}}\theta ,$$$ $$$U\frac{\partial \theta }{\partial X}+V\frac{\partial \theta }{\partial Y}=[\delta +{\rm{K}}(1-\delta )]{\nabla }^{2}\theta -\frac{{\tau }^{* }}{\text{Pl}}\left[4{\left(\frac{\theta }{{T}_{R}}+1\right)}^{4}-{\int }_{0}^{4\pi }{I}_{R}d{\rm{\Omega }}\right]\delta +\frac{{\text{Ra}}_{{\rm{i}}}}{{\text{Ra}}_{{\rm{m}}}}(1-\delta ).$$$…”

“…The dimensionless governing equations (continuity, momentum, and energy) are expressed as follows 6,49 : The symbol δ equals 1 in the fluid region and 0 in the solid blocks, and i refers to the block under consideration.…”

“…Consequently, engineers and researchers need to develop a suitable and less costly cooling system. These electronic devices are modeled as closed cavities (electronic packaging) containing heating bodies (electronic components) 4–8 . The considered problem (natural convection) gets quite complex when several components (heat sources) that generate different amounts of heat are assembled inside the same sealed cabinet.…”

“…In the first one (horizontal position configuration), the two bodies are located at the same height of the cavity, while they are placed at different heights in the second case (vertical position configuration). The effects of two Rayleigh numbers ( ≤ ≤ Ra Ra 0 ( , ) 10 1 2 6 ), the conductivity ratio ( ≤ ≤ K 0.01 100), and the emissivity ( ≤ ≤ ε 0 1 ) on the heat transfer characteristics and the flow structure are analyzed. The data is displayed as streamlines, isotherms, velocity, and maximum temperature profiles, and local heat transfer on the active wall.…”

An Efficient Numerical Simulation of 2D Natural Convection in an Inclined Cavity with Internal Heat Generation Using Differential Quadrature Method

“…The near-wall flow is characterized as a result, allowing new semi-analytical models for wall transfer applications in enclosed cavities to be created. Hidki et al [21] exhibited analysis of laminar natural convection in a cavity. Two cylinders of the same surface, but different geometric shapes, were contained inside this cavity (square, circular, and elliptical).…”