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International Heat Transfer Conference 11

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

REYNOLDS STRESS IN LOW TURBULENCE NATURAL CONVECTION IN AN AIR FILLED SQUARE CAVITY

Yongsheng Tian
School of Engineering System and Design South Bank University 103 Borough Road London SE1 OAA United Kingdom

Tassos G. Karayiannis
Department of Mechanical and Aerospace Engineering Brunel University London, Uxbridge, UP8 3PH, UK

Richard D. Matthews
School of Engineering System and Design South Bank University 103 Borough Road London SE1 OAA United Kingdom

Jennifer X. Wen
Faculty of Engineering, Kingston University, Friars Avenue, Roehampton Vale, London, SW15 3DW, United Kingdom; School of Engineering, University of Warwick, Coventry CV4 7AL, UK

DOI: 10.1615/IHTC11.3610
pages 543-548

Abstract

The Reynolds stress in a 2-D air filled square cavity is presented in this paper. The cavity was 0.75 m × high 0.75 m × wide × 1.5 m deep with two opposite isothermal walls at 50 °C and 10 °C giving a Ra number of 1.58 × 109. The distribution of the Reynolds stress is anti-symmetrical and it is more intense at the downstream of the boundary layers that form on the hot and cold walls of the cavity than anywhere else. At mid-height, the Reynolds stress is nearly zero in the thermo-viscous layer. It increases rapidly in the buoyant sub-layer and reaches its maximum in the outer region. In the core region, the Reynolds stress is zero. Comparison with some earlier results is presented. The present results were obtained with high accuracy and should be useful for CFD code validation.

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