Axial Heat Conduction Effects in Forced Convection Along a Cylinder
An analytical study is performed to determine the effects of axial heat conduction and transverse curvature on laminar forced convective heat transfer of liquid metals along a circular cylinder. The flow and thermal boundary layers for this problem are nonsimilar, the non-similarity arising both from the transverse curvature ξ = (4/R)(vx/u∞)1/2 of the cylindrical surface and from the axial heat conduction effect expressible as Ω = 1/Pex , where Pex is the local Peclet number. The governing equations are solved by the local nonsimilarity method in which all the terms in the conservation equations are retained and only terms in the derived subsidiary equations are selectively deleted according to the levels of truncation. Numerical results are presented for liquid metals having representative Prandtl numbers of 0.03, 0.008, and 0.003 over a wide range of ξ values from 0 (i.e., a flat plate) to 4.0 and Î© values from 0 (i.e., without axial heat conduction effect) to 0.20. The results indicate that the local surface heat transfer rate increases with an increase in the transverse curvature of the cylindrical surface, an increase in Prandtl number, and an increase in the axial heat conduction parameter or a decrease in Peclet number.
T. S. Chen and M. E. Lohman, "Axial Heat Conduction Effects in Forced Convection Along a Cylinder," Journal of Heat Transfer, American Society of Mechanical Engineers (ASME), Jan 1975.
The definitive version is available at https://doi.org/10.1115/1.3450339
Mechanical and Aerospace Engineering
Keywords and Phrases
Heat Conduction; Cylinders; Forced Convection; Equations; Liquid Metals; Convection; Flow (Dynamics); Heat Transfer; Flat Plates; Prandtl Number
Article - Journal
© 1975 American Society of Mechanical Engineers (ASME), All rights reserved.