Simulation of the Rayleigh–Benard Convection in a T-Shaped Cavity

Selamet, Emel; Selamet, Ahmet; Dehner, R.

doi:10.17265/1934-8975/2018.11.004

Cited by 1 publication

(1 citation statement)

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“…Studying the flow patterns of forced, forced‐mixed, and natural convection, numerous experimental, and numerical research efforts have been made on (T, U, V, H, and I)‐shaped geometries, customized chamfered channels, various thermal strips, and isolated sources of heat located on the boundary lines of the defined geometry 28–49 . There are no studies done to employ a higher order compact scheme without transformations and uniform mesh spacing to study free convective heat flows in a porous‐corrugated chamber.…”

Section: Introductionmentioning

confidence: 99%

Natural convective heat transfer and fluid flow in a porous medium filled corrugated enclosure: Effect of discrete heat sources

Choudhary

Ray

2023

Heat Trans

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In this work, we investigate the two‐dimensional unsteady natural convective fluid flow problem in a porous‐corrugated enclosure with a fixed sinusoidal heated upper wall. The corrugations of the enclosure are discretely heated while vertical walls are maintained isothermally cold. Subject to where the heat sources are located, five different cases are taken into consideration. The vorticity–streamfunction equations are discretized using a transformation‐free higher order compact approach, and the hybrid BiCGSTAB technique is used to solve the system of algebraic equations that derives from the numerical discretization. To validate our findings, we first compare them to previously published numerical and experimental data. The numerically simulated outcomes are then examined over a variety of essential parameters, such as the Darcy (10−5 ≤ Da ≤ 10−1), Rayleigh (103 ≤ Ra ≤ 106), and Prandtl (0.1 ≤ Pr ≤ 10) numbers. Symmetric and asymmetric fluid flow phenomena are observed. Asymmetric flow phenomenon can be caused by miscible or non‐miscible movements of lighter fluids by heavier fluids, or almost exclusively by nonuniform buoyancy‐driven forces caused by density variations that have arisen because of variations in fluid temperature. The averaged Nusselt value for Case 1 and Case 5 exhibits the highest percentage ratio. The thermal boundary layer is strongly affected by compression, dispersion, suppression, the zone of stratification, and the outweighing of isotherms. The simulated results are visualized by stream functions, isotherms, local and averaged Nusselt number plots.

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Section: Introductionmentioning

confidence: 99%