Turbulent Natural Convection in a Square Cavity with a Circular Cylinder

Aithal, S. M.

doi:10.2514/1.T4873

Title: Turbulent Natural Convection in a Square Cavity with a Circular Cylinder

Journal Article · Tue Jul 19 00:00:00 EDT 2016 · Journal of Thermophysics and Heat Transfer

DOI:https://doi.org/10.2514/1.T4873· OSTI ID:1339154

Aithal, S. M. ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States)

In this paper, numerical simulations of high Rayleigh number flows (10⁸-10¹⁰) were conducted to investigate the turbulent fluid flow and thermal characteristics of natural convection induced by a centrally placed hot cylinder in a cold square enclosure. The effect of the aspect ratio (radius of the cylinder to the side of the cavity) was investigated for three values (0.1, 0.2, and 0.3) for each Rayleigh number. Effects of turbulence induced by the high Rayleigh number (>10⁷) were computed by using the unsteady k-ω model. A spectral-element method with high polynomial order (high resolution) was used to solve the system of unsteady time-averaged equations of continuity, momentum, and energy, along with the turbulence equations. Detailed comparison with other numerical work is presented. Contours of velocity, temperature, and turbulence quantities are presented for various high Rayleigh numbers. Also presented is the influence of the Rayleigh number on the local Nusselt number on the centrally placed hot cylinder and the cold enclosure walls. Time-marching results show that the steady-state solutions can be obtained even for high Rayleigh numbers considered in this study. The results also show that the average and peak Nusselt numbers roughly double for each order of magnitude increase of the Rayleigh number for all radii considered. Finally, a correlation for the average Nusselt number as a function of Rayleigh number and aspect ratio is also presented.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1339154

Journal Information:: Journal of Thermophysics and Heat Transfer, Vol. 30, Issue 4; ISSN 0887-8722

Publisher:: American Institute of Aeronautics and Astronautics, Inc.Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
natural convection
high Rayleigh number
turbulence
k-ω model

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