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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

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Cess, R., 1964, “The Interaction of Thermal Radiation with Conduction and Convection Heat Transfer,” T. Irvine and J. Hartnett, eds., Advances in Heat Transfer, Academic Press, New York 1 , pp. 1–50.
Oliver,  C., and McFadden,  P., 1966, “The Interaction of Radiation and Convection in the Laminar Boundary Layer,” ASME J. Heat Transfer, 88, pp. 205–213.
Houf,  W., Incropera,  F., and Viskanta,  R., 1985, “Thermal Conditions in Irradiated Slowly Moving Liquid Layers,” ASME J. Heat Transfer, 107, pp. 92–98.
Arpaci,  V., 1968, “Effect of Thermal Radiation on the Laminar Free Convection from a Heated Vertical Plate,” Int. J. Heat Mass Transfer, 11, pp. 871–881.
Viskanta,  R., and Grosh,  J., 1962, “Boundary Layer in Thermal Radiation Absorbing and Emitting Media,” Int. J. Heat Mass Transfer, 5, pp. 795–806.
Özisik, M., 1973, Radiative Transfer and Interactions with Conduction and Convection, Wiley, New York.
Krishnaprakas,  C., and Narayana,  K., 1999, “Interaction of Radiation with Natural Convection,” J. Thermophys. Heat Transfer, 13, pp. 387–390.
Zhang,  L., Soufiani,  A., Petit,  J., and Taine,  J., 1990, “Coupled Radiation and Laminar Mixed Convection in an Absorbing and Emitting Real Gas Mixture Along a Vertical Plate,” Int. J. Heat Mass Transfer, 33, pp. 319–329.
Webb,  B., 1990, “Interaction of Radiation and Free Convection on a Heated Vertical Plate: Experiment and Analysis,” J. Thermophys. Heat Transfer, 4, pp. 117–121.
Cess,  R., 1966, “The Interaction of Thermal Radiation with Free Convection Heat Transfer,” Int. J. Heat Mass Transfer, 9, pp. 1269–1277.
Cheng,  E., and Özisik,  M., 1972, “Radiation with Free Convection in an Absorbing, Emitting, and Scattering Medium,” Int. J. Heat Mass Transfer, 15, pp. 1243–1252.
Bejan, A., 1995, Convection Heat Transfer, Second ed., Wiley, New York.
Duty,  C., Johnson,  R., Gillespie,  J., Fedorov,  A. G., and Lackey,  J., 2002, “Heat and Mass Transfer Modeling of an Angled Gas-Jet LCVD System,” Applied Physics A, 76, pp. 1–9.
Cheung,  F. B., Chan,  S. H., Chawla,  T. C., and Cho,  D. H., 1980, “Radiative Heat Transfer in a Heat Generating and Turbulently Convecting Fluid Layer,” Int. J. Heat Mass Transfer, 23, pp. 1313–1323.
Incropera, F. P. and DeWitt, D. P., 1996, Fundamentals of Heat and Mass Transfer, Wiley, New York, p. 10.
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Özisik, M., 1980, Heat Conduction, first ed., Wiley, New York, pp. 452–454.

Figures

Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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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