Numerical simulations of high Rayleigh number flows ( 10 8 10 10 ) 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 ( > 10 7 ) 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. A correlation for the average Nusselt number as a function of Rayleigh number and aspect ratio is also presented.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Turbulent Natural Convection in a Square Cavity with a Circular Cylinder


    Contributors:

    Published in:

    Publication date :

    2016-07-19


    Size :

    11 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Natural Convection of Reacting Chemical in Square Enclosure with Circular Cylinder

    Chandra Roy, Nepal / Reddy Gorla, Rama Subba | AIAA | 2022




    Compressible Coupled Natural Convection and Volumetric Radiation in a Square Cavity

    Hamimid, Saber / Rachedi, Nessrine / Guellal, Messaoud et al. | AIAA | 2018