Directional Effects in Radiant Heat Transfer Between Pairs of Simply Arranged Surfaces

Wildin, M. W.; Treat, C. H.

doi:10.2172/12817537

Cited by 4 publications

(1 citation statement)

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“…7, where h » R, then (12) where a = the earth albedo ~ 0.4 E s = the solar illuminance c^ 203.8 lightwatts/m 2 R = the radius of the earth h = the altitude above earth surface a = the phase angle Eclipsing Any computation of illumination in the near vicinity of the moon must account for the possibility that on occasion one or more sources may be behind the moon relative to the spacecraft. For this reason, special logic has been included in the program to account for the moon as an eclipsing body.…”

Section: Light Sourcesmentioning

confidence: 99%

Theoretical and practical implication of the bidirectional reflectance of spacecraft surfaces.

Dummer

Neu

1969

AIAA Journal

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F]or various space problems the use of bidirectional reflectance is often required. This paper discusses the experimental measurement of bidirectional reflectance, the problems that require the use of this type of information, and the complexities of application of the data. A detailed example of the use of bidirectional data to determine luminance of the Apollo mission Lunar Module vehicle in the vicinity of the moon is presented. The apparatus used for performance of experimental measurements and the computer methods for determining luminous flux to an observer are given. Results are presented showing that reasonable agreement is obtained between this experimental-analytical approach and model simulation studies. Nomenclature A= area of a mapped element on the lunar surface a = earth albedo B = luminosity D = distance E = illumination E s -illumination at the mean earth-sun distance F = luminous flux H = solar radiance h = altitude above earth surface / = luminous intensity i = angle of incidence on lunar surface element HI = normal to lunar surface element n = surface unit normal vector p = pitch R -earth radius r = roll r == unit vector from surface toward source r' = unit vector from surface toward observer |s| = earth-sun distance V = standard visibility function y = yaw a. = phase angle 7 = aspect angle p = reflectance, bidirectional e = angle of reflectance from lunar surface element 9 = polar angle of incidence 6' = polar angle of reflectance T = projection of e on phase plane = photometric function = azimuthal angle of incidence ' = azimuthal angle of reflectance co = solid angle Subscripts 0 = normal to the surface s = solar I = lunar X = monochromatic wavelengthPresented as Paper 68-26 at the AIAA 6th Aerospace Sciences

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Section: Light Sourcesmentioning
confidence: 99%

Theoretical and practical implication of the bidirectional reflectance of spacecraft surfaces.
Dummer
¹
,
Neu
²

1969
AIAA Journal
1
0
0
0
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Surface roughness effects on radiant transfer between surfaces
Hering
¹
,
Smith
²

1970
International Journal of Heat and Mass Transfer
11
0
0
0
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Investigation of a model for bidirectional reflectance of rough surfaces
Treat¹,
Wildin²
1969
7th Aerospace Sciences Meeting
2
0
1
0
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Directional Effects in Radiant Heat Transfer Between Pairs of Simply Arranged Surfaces

Cited by 4 publications

References 0 publications

Theoretical and practical implication of the bidirectional reflectance of spacecraft surfaces.

Theoretical and practical implication of the bidirectional reflectance of spacecraft surfaces.

Surface roughness effects on radiant transfer between surfaces

Investigation of a model for bidirectional reflectance of rough surfaces

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