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TECHNICAL PAPERS: Radiative Heat Transfer

Scale Analysis of Combined Thermal Radiation and Convection Heat Transfer

[+] Author and Article Information
Peter A. Kottke, Timothy P. Ferguson, Andrei G. Fedorov

Georgia Institute of Technology, G.W.W. School of Mechanical Engineering, Atlanta, GA 30332

J. Heat Transfer 126(2), 250-258 (May 04, 2004) (9 pages) doi:10.1115/1.1677409 History: Received August 11, 2003; Revised October 21, 2003; Online May 04, 2004
Copyright © 2004 by ASME
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References

Figures

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Optically thick medium heat transfer results from similarity solution for mixed convection. u varies as x1/2,Tw is constant, T=0,Pr=1, and N=0.01. Note that results are plotted in terms of the forced convection thermal boundary layer thickness scale, δt,FC, so that the transition from forced convection to natural convection dominance is clear; however, the resulting higher values for natural convection should not be misinterpreted as improved heat transfer.
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Nonparticipating medium heat transfer results from similarity solution, Pr=1,T=0. For the forced convection case, the free stream velocity is uniform while the wall heat flux varies as x−2/3.
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Data from Cess 2; heat transfer from isoflux surfaces of different emissivities to air. The insert, a semi-log plot, shows the data as Cess presented it. The outer log-log plot is the presentation suggested by scale analysis.
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Optically thick medium heat transfer results from similarity solution. Forced convection (FC) results are for Pr=1,u and Tw constant, and T=0, and are read using the right axis. Natural Convection (NC) results are for Tw=1000°K,T=500°K or 0K (Tr=0.5 or 0 respectively), and Pr=1 or 0.1. They are read using the left axis.

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