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Study of radiation interchange in an enclosure consisting of plane isothermal and adiabatic surfaces

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Abstract

This study examines the validity and accuracy of the commonly used diffuse, specular, and diffuse-specular constant property models for predicting radiant interchange among real surfaces by comparing analytical predictions with experimental data. The materials tested were sandblasted stainless steel, electropolished stainless steel, rough electroplated gold, and smooth electroplated gold. Measurements were made over the temperature range from 310.4 ‡K to 644.0 ‡K. The data indicates that the simple diffuse model yields reasonably accurate radiant heat exchange predictions. The variation in the radiative surface characteristics with direction should be accounted for in some manner, particularly for specular or nearly specularly reflecting surfaces.

Zusammenfassung

Die vorliegende Untersuchung beschÄftigt sich mit dem Gültigkeitsbereich und der Genauigkeit der unter der Annahme diffuser, spiegelnder und diffus-spiegelnder OberflÄchen bei konstanten Zustandsgrö\en im allgemeinen benutzten Modelle zur Berechnung des Strahlungsaustausches zwischen technischen OberflÄchen. Analytisch ermittelte Ergebnisse werden mit experimentellen verglichen. Die untersuchten Materialien waren sandgestrahlter Edelstahl, elektropolierter Edelstahl, rauhes elektroplattiertes Gold und glattes elektroplattiertes Gold. Die Messungen wurden im Temperatur-bereich von 310,4 ‡K bis 644,0 ‡K vorgenommen. Die Ergebnisse zeigen, daβ sich der Wärmeaustausch durch Strahlung mit Hilfe des einfachen Modells diffuser Reflektion verhÄltnismÄ\ig genau beschreiben lÄ\t. Der Einflu\ der Richtungs-charakteristiken der strahlenden OberflÄche sollte insbesondere für spiegelnde oder fast spiegelnde reflektierende OberflÄchen mit in Betracht gezogen werden.

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Abbreviations

A :

Surface area

E Ai-Aj :

Exchange factor

F Ai-Aj :

Configuration factor

G :

Irradiation (incident radiant energy flux)

G* :

Dimensionless irradiation,G/ε h σT 4h

H :

Plate separation distance, Fig. 1

J :

Radiosity (diffusely leaving radiant energy flux)

L :

Plate width, Fig. 1

q :

Local heat flux

T :

Temperature

x :

Coordinate distance, Fig. 1

y :

Coordinate distance, Fig. 1

z :

Coordinate distance, Fig. 1

α :

Absorptance

γ :

Plate separation to width ratio,H/L

ε :

Emittance

ζ:

⧀mensionless coordinate,z/H

η :

Dimensionless coordinate,y/L

θ′ :

Polar angle of incidence

λ :

Wavelength

λ m :

Wavelength of the mean blackbody radiant energy

λ max :

Wavelength of the maximum blackbody radiant energy

ξ :

Dimensionless coordinate,x/L

ϱ :

Reflectance

ϱ (θ′):

Reflectance of an optically smooth surface predicted from Fresnel's equations

σ :

Stefan Boltzmann constant

σ o :

Optical rms roughness

σm :

Mechanical rms roughness

Φ′ :

Azimuthal angle of incidence

c:

Refers to cold surface

h:

Refers to hot surface

References

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Author information

Author notes

  1. P. M. Engstrom

    Present address: Pitney-Bowes, Inc., 06904, Stamford, Connecticut, USA

Authors and Affiliations

  1. Heat Transfer Laboratory School of Mechanical Engineering, Purdue University, 47907, Lafayette, Indiana, USA

    P. M. Engstrom,  R. Viskanta &  J. S. Toor

Authors
  1. P. M. Engstrom
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  2. R. Viskanta
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  3. J. S. Toor
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Engstrom, P.M., Viskanta, R. & Toor, J.S. Study of radiation interchange in an enclosure consisting of plane isothermal and adiabatic surfaces. Warme- und Stoffubertragung 3, 63–69 (1970). https://doi.org/10.1007/BF01108026

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  • DOI: https://doi.org/10.1007/BF01108026

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