Turbulent Natural Convection in a Square Cavity with a Circular Cylinder

Aithal, S. M.

doi:10.2514/1.T4873

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.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1339154

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

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

Country of Publication:: United States

Language:: English

References (30)

Natural convection of air in a square cavity: A bench mark numerical solution De Vahl Davis, G. International Journal for Numerical Methods in Fluids, Vol. 3, Issue 3 https://doi.org/10.1002/fld.1650030305	journal	May 1983
Numerical computation of high Rayleigh number natural convection and prediction of hot radiator induced room air motion Lankhorst, A. M.; Hoogendoorn, C. J. Applied Scientific Research, Vol. 47, Issue 4 https://doi.org/10.1007/BF00386241	journal	October 1990
Laminar and turbulent natural convection in an enclosed cavity Markatos, N. C.; Pericleous, K. A. International Journal of Heat and Mass Transfer, Vol. 27, Issue 5 https://doi.org/10.1016/0017-9310(84)90145-5	journal	May 1984
Natural convection heat transfer between a uniformly heated cylindrical element and its rectangular enclosure Ghaddar, Nasrine K. International Journal of Heat and Mass Transfer, Vol. 35, Issue 10 https://doi.org/10.1016/0017-9310(92)90075-4	journal	October 1992
Scaling of the laminar natural-convection flow in a heated square cavity Henkes, R. A. W. M.; Hoogendoorn, C. J. International Journal of Heat and Mass Transfer, Vol. 36, Issue 11 https://doi.org/10.1016/0017-9310(93)90110-R	journal	July 1993
Accurate solutions to the square thermally driven cavity at high Rayleigh number Le Quéré, P. Computers & Fluids, Vol. 20, Issue 1 https://doi.org/10.1016/0045-7930(91)90025-D	journal	January 1991
Transient analysis of Rayleigh–Bénard convection with a RANS model Kenjereš, S.; Hanjalić, K. International Journal of Heat and Fluid Flow, Vol. 20, Issue 3 https://doi.org/10.1016/S0142-727X(99)00007-7	journal	June 1999
Applications of computational fluid dynamics (cfd) in the food industry: a review Xia, Bin; Sun, Da-Wen Computers and Electronics in Agriculture, Vol. 34, Issue 1-3 https://doi.org/10.1016/S0168-1699(01)00177-6	journal	May 2002
Integrated thermal management techniques for high power electronic devices McGlen, Ryan J.; Jachuck, Roshan; Lin, Song Applied Thermal Engineering, Vol. 24, Issue 8-9 https://doi.org/10.1016/j.applthermaleng.2003.12.029	journal	June 2004
Experimental investigation of natural convection from vertical and horizontal helicoidal pipes in HVAC applications Moawed, M. Energy Conversion and Management, Vol. 46, Issue 18-19 https://doi.org/10.1016/j.enconman.2005.02.002	journal	November 2005
Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s) Roy, S.; Basak, Tanmay International Journal of Engineering Science, Vol. 43, Issue 8-9 https://doi.org/10.1016/j.ijengsci.2005.01.002	journal	May 2005
LES, T-RANS and hybrid simulations of thermal convection at high Ra numbers Kenjereš, S.; Hanjalić, K. International Journal of Heat and Fluid Flow, Vol. 27, Issue 5 https://doi.org/10.1016/j.ijheatfluidflow.2006.03.008	journal	October 2006
A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations Kim, B. S.; Lee, D. S.; Ha, M. Y. International Journal of Heat and Mass Transfer, Vol. 51, Issue 7-8 https://doi.org/10.1016/j.ijheatmasstransfer.2007.06.033	journal	April 2008
Natural convection in square enclosure with hot and cold cylinders at different vertical locations Park, Yong Gap; Yoon, Hyun Sik; Ha, Man Yeong International Journal of Heat and Mass Transfer, Vol. 55, Issue 25-26 https://doi.org/10.1016/j.ijheatmasstransfer.2012.08.012	journal	December 2012
Laminar mixed convection flow and heat transfer characteristics in a lid driven cavity with a circular cylinder Khanafer, Khalil; Aithal, S. M. International Journal of Heat and Mass Transfer, Vol. 66 https://doi.org/10.1016/j.ijheatmasstransfer.2013.07.023	journal	November 2013
Natural convection in an enclosure containing a sinusoidally heated cylindrical source Roslan, R.; Saleh, H.; Hashim, I. International Journal of Heat and Mass Transfer, Vol. 70 https://doi.org/10.1016/j.ijheatmasstransfer.2013.10.011	journal	March 2014
High-Order Methods for Incompressible Fluid Flow Deville, M. O.; Fischer, P. F.; Mund, E. H. Cambridge University Press https://doi.org/10.1017/CBO9780511546792	book	January 2009
Direct numerical simulation of separated flow in a three-dimensional diffuser Ohlsson, Johan; Schlatter, Philipp; Fischer, Paul F. Journal of Fluid Mechanics, Vol. 650 https://doi.org/10.1017/S0022112010000558	journal	March 2010
An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders Kuehn, T. H.; Goldstein, R. J. Journal of Fluid Mechanics, Vol. 74, Issue 4 https://doi.org/10.1017/S0022112076002012	journal	April 1976
Natural Convection Heat Transfer in Horizontal Rod-Bundle Enclosures Keyhani, M.; Dalton, T. Journal of Heat Transfer, Vol. 118, Issue 3 https://doi.org/10.1115/1.2822674	journal	August 1996
Patterns of Natural Convection Around a Square Cylinder Placed Concentrically in a Horizontal Circular Cylinder Chang, K. S.; Won, Y. H.; Cho, C. H. Journal of Heat Transfer, Vol. 105, Issue 2 https://doi.org/10.1115/1.3245574	journal	May 1983
Natural Convection in Enclosures Ostrach, S. Journal of Heat Transfer, Vol. 110, Issue 4b https://doi.org/10.1115/1.3250619	journal	November 1988
Natural Convection in Enclosed Spaces—A Review of Application to Solar Energy Collection Buchberg, H.; Catton, I.; Edwards, D. K. Journal of Heat Transfer, Vol. 98, Issue 2 https://doi.org/10.1115/1.3450516	journal	May 1976
Natural Convection in Liquid Metals in an Enclosure Custer, J. R.; Shaughnessy, E. J. Journal of Heat Transfer, Vol. 99, Issue 4 https://doi.org/10.1115/1.3450763	journal	November 1977
Laminar Natural Convection Heat Transfer in a Horizontal Cavity with Different End Temperatures Bejan, A.; Tien, C. L. Journal of Heat Transfer, Vol. 100, Issue 4 https://doi.org/10.1115/1.3450870	journal	November 1978
An Experimental Investigation of Natural Convection Heat Transfer Within Horizontal Spent-Fuel Assemblies Canaan, Robert E.; Klein, Dale E. Nuclear Technology, Vol. 116, Issue 3 https://doi.org/10.13182/NT96-A35286	journal	December 1996
An Experimental Investigation of Natural Convection Heat Transfer Within Horizontal Spent-Fuel Assemblies Canaan, Robert E.; Klein, Dale E. Nuclear Technology, Vol. 116, Issue 3 https://doi.org/10.13182/nt96-a35286	journal	December 1996
Natural Convection in Enclosures Hoogendoorn, Charles J. Proceeding of International Heat Transfer Conference 8 https://doi.org/10.1615/ihtc8.2330	conference	January 2019
Flow and Heat Transfer in a Driven Cavity with Two Cylinders Khanafer, Khalil; Aithal, S. M.; Assad, Mamdouh E. Journal of Thermophysics and Heat Transfer, Vol. 31, Issue 1 https://doi.org/10.2514/1.T4744	journal	January 2017
Natural convection in the annulus between concentric horizontal circular and square cylinders Moukalled, F.; Acharya, S. Journal of Thermophysics and Heat Transfer, Vol. 10, Issue 3 https://doi.org/10.2514/3.820	journal	July 1996

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

Turbulent Natural Convection in a Square Cavity with a Circular Cylinder

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