Foundations of Buoyancy Driven Heat Transfer Correlations

Author:

Arpacı Vedat S.1,Kao Shu-Hsin1

Affiliation:

1. Department of Mechanical Engineering, The University of Michigan, 2142 G. G. Brown, 2350 Hayward, Ann Arbor, MI 48109-2125

Abstract

In terms of a dimensionless number, ΠN∼Ra/1+Pr−1, introduced by Arpacı (1986, 1990, 1995) for buoyancy driven flows, Ra and Pr respectively being the usual Rayleigh and Prandtl numbers, two well-known correlations (Churchill and Chu, 1975) for natural convection next to a vertical isothermal plate are reduced in terms of ΠL=Ra/1+0.492Pr−1 to Nu=0.67ΠL1/4,103⩽ΠL⩽109, for the laminar case, and in terms of ΠT=Ra/1+0.164Pr−1 to Nu=0.15ΠT1/3,109⩽ΠT⩽1012, for the turbulent case.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

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