New Determination of the Total Normal Emissivity of Cylindrical and Conical Cavities

P. Campanaro; T. Ricolfi

doi:10.1364/JOSA.57.000048

Journal of the Optical Society of America
Vol. 57,
Issue 1,
pp. 48-50
(1967)
•https://doi.org/10.1364/JOSA.57.000048

New Determination of the Total Normal Emissivity of Cylindrical and Conical Cavities

P. Campanaro and T. Ricolfi

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P. Campanaro and T. Ricolfi, "New Determination of the Total Normal Emissivity of Cylindrical and Conical Cavities," J. Opt. Soc. Am. 57, 48-50 (1967)

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Abstract

Two expressions are derived for the total normal emissivity of diffusely emitting and reflecting cylindrical and conical cavities. The results for the cylindrical cavity substantially confirm those obtained by Sparrow. There are no formulas, in the literature of this topic, suitable for a similar comparison with our formula for the conical cavity.

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	∊ = 0.5		∊ = 0.75		∊ = 0.9
α	Present	Ref. 1	Present	Ref. 1	Present	Ref. 1
1	0.766	0.6878–0.7914	0.903	0.8626–0.9180	0.960	0.9482–0.9708
2	0.884	0.8394–0.8776	0.949	0.9389–0.9553	0.982	0.9785–0.9848
4	0.959	0.9460–0.9540	0.983	0.9815–0.9842	0.994	0.9936–0.9945
8	0.989	0.9880–0.9887	0.995	0.9956–0.9961	0.998	0.9984–0.9986

	∊ = 0.3		∊ = 0.5		∊ = 0.7		∊ = 0.9
ϑ₀	Eq. (10)	Gouffé’s data	Eq. (10)	Gouffé’s data	Eq. (10)	Gouffé’s data	Eq. (10)	Gouffé’s data
5°	0.961	0.885	0.976	0.959	0.988	0.988	0.997	0.998
10°	0.868	0.805	0.919	0.922	0.959	0.974	0.988	0.995
15°	0.760	0.741	0.850	0.886	0.922	0.957	0.977	0.991
20°	0.662	0.688	0.785	0.852	0.885	0.939	0.966	0.986
30°	0.520	0.595	0.683	0.781	0.823	0.897	0.945	0.972
45°	0.404	0.478	0.589	0.679	0.761	0.827	0.923	0.948
60°	0.344	0.384	0.537	0.585	0.725	0.762	0.909	0.924
80°	0.305		0.504		0.703		0.901
90°	0.300	0.300	0.500	0.500	0.700	0.700	0.900	0.900

	∊ = 0.5		∊ = 0.75		∊ = 0.9
α	Present	Ref. 1	Present	Ref. 1	Present	Ref. 1
1	0.766	0.6878–0.7914	0.903	0.8626–0.9180	0.960	0.9482–0.9708
2	0.884	0.8394–0.8776	0.949	0.9389–0.9553	0.982	0.9785–0.9848
4	0.959	0.9460–0.9540	0.983	0.9815–0.9842	0.994	0.9936–0.9945
8	0.989	0.9880–0.9887	0.995	0.9956–0.9961	0.998	0.9984–0.9986

	∊ = 0.3		∊ = 0.5		∊ = 0.7		∊ = 0.9
ϑ₀	Eq. (10)	Gouffé’s data	Eq. (10)	Gouffé’s data	Eq. (10)	Gouffé’s data	Eq. (10)	Gouffé’s data
5°	0.961	0.885	0.976	0.959	0.988	0.988	0.997	0.998
10°	0.868	0.805	0.919	0.922	0.959	0.974	0.988	0.995
15°	0.760	0.741	0.850	0.886	0.922	0.957	0.977	0.991
20°	0.662	0.688	0.785	0.852	0.885	0.939	0.966	0.986
30°	0.520	0.595	0.683	0.781	0.823	0.897	0.945	0.972
45°	0.404	0.478	0.589	0.679	0.761	0.827	0.923	0.948
60°	0.344	0.384	0.537	0.585	0.725	0.762	0.909	0.924
80°	0.305		0.504		0.703		0.901
90°	0.300	0.300	0.500	0.500	0.700	0.700	0.900	0.900

Abstract

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Tables (2)

Equations (13)

Journal of the Optical Society of America