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RESEARCH PAPERS

Bouyancy Effects on Forced Convection Along a Vertical Cylinder

[+] Author and Article Information
T. S. Chen, A. Mucoglu

Department of Mechanical and Aerospace Engineering, University of Missouri-Rolla, Rolla, Mo.

J. Heat Transfer 97(2), 198-203 (May 01, 1975) (6 pages) doi:10.1115/1.3450341 History: Received December 18, 1974; Online August 11, 2010

Abstract

The effects of buoyancy forces on the longitudinal forced convective flow and heat transfer along an isothermal vertical cylinder are studied analytically. This problem does not admit similarity solutions, the nonsimilarity arising both from the transverse curvature ξ = (4/r0 ) (νx/u∞)1/2 of the cylindrical surface and from the buoyancy effect expressible as Ω = Grx /Rex2 where Grx and Rex are, respectively, the Grashof and Reynolds numbers. The governing equations are solved by the local nonsimilarity method in which all the nonsimilar terms are retained in the conservation equations and only in the derived subsidiary equations are terms selectively neglected according to the two-equation or three-equation model. Numerical results for the velocity and temperature profiles, wall shear stress, and surface heat transfer for the case of assisting flow are presented for gases having a Prandtl number of 0.7 over a wide range of values of ξ from 0 (i.e., a flat plate) to 4.0 and Ω from 0 (i.e., pure forced convection) to 2.0. It is found that the wall shear and surface heat transfer rate increase with increasing buoyancy force and increasing curvature of the surface.

Copyright © 1975 by ASME
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