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International Heat Transfer Conference 4

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

HEAT TRANSFER TO A TRANSVERSE CIRCULAR CYLINDER AT LOW REYNOLDS NUMBERS INCLUDING RAREFACTION EFFECTS

K. M. Krall
Research Scientist LTV Research Center Dallas, Texas

E. R. G. Eckert
Department of Mechanical Engineering University of Minnesota, Minneapolis, Minnesota 55455 USA

DOI: 10.1615/IHTC4.2380
pages 1-11

Abstract

An analytical investigation of the local heat transfer about a circular cylinder is presented. The range of Reynolds numbers is 20 to 200. The steady, incompressible Navier-Stokes and energy equations in cylindrical coordinates are solved numerically. An iterative finite difference approach utilizing the concept of donor cell differencing for the convective terms was adapted. Heat transfer results for both uniform wall temperature and uniform heat flux conditions are presented for Reynolds numbers of 20, 50, 100, and 200, the latter displaying a 20-30 per cent increase on the average. The influence of rarefaction is investigated for a Mach number of 0.25, employing the first order slip conditions on both velocity and temperature. Slip decreases the heat transfer by up to 6 per cent.

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