Effective Emissivity of a Spherical Cavity

P. Campanaro; T. Ricolfi

doi:10.1364/AO.5.000929

Applied Optics
Vol. 5,
Issue 6,
pp. 929-932
(1966)
•https://doi.org/10.1364/AO.5.000929

Effective Emissivity of a Spherical Cavity

P. Campanaro and T. Ricolfi

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P. Campanaro and T. Ricolfi, "Effective Emissivity of a Spherical Cavity," Appl. Opt. 5, 929-932 (1966)

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Abstract

At the Istituto Termometrico Italiano a spherical cavity has been constructed as a radiation source in absolute temperature measurements. In theoretical prediction of its effective emissivity, a discrepancy appears between Gouffé’s and DeVos’s formulas. In this paper the authors discuss the approximations involved in DeVos’s process and report corrections suitable to improve the precision of the results. With such corrections, computations based on both formulas agree within a wide variation range.

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	DeVos’s method corrected

α	Eq. (5)	Third approximation	Exact solution	Gouffé’s data
3	0.893	0.869	0.850	0.839
4	0.940	0.927	0.912	0.909
5	0.962	0.952	0.942	0.941
6	0.973	0.968	0.960	0.959
7	0.981	0.974	0.970	0.969
8	0.985	0.982	0.977	0.977
9	0.988	0.986	0.982	0.982
10	0.990	0.988	0.985	0.985
12	0.993	0.993	0.991	0.990
15	0.996	0.996	0.994	0.993
20	0.998	0.998	0.997	0.996
30	0.999	0.999	0.998	0.998

Ranges of α	Fig. 3	Fig. 4	Fig. 5
4 ≤ α ≤ 8	0.728	0.646	0.693
9 ≤ α ≤ 15	0.743	0.727	0.806
α > 15	0.757	0.811	0.920

	Fig. 3		Fig. 4		Fig. 5

α	Eq. (6)	Edwards	Eq. (6)	Edwards	Eq. (6)	Edwards
3	0.839	—	0.799	—	0.722	—
10	0.984	0.989	0.972	0.963	0.957	0.894
20	0.996	0.998	0.993	0.991	0.988	0.976
30	0.998	—	0.996	—	0.993	—

	DeVos’s method corrected

α	Eq. (5)	Third approximation	Exact solution	Gouffé’s data
3	0.893	0.869	0.850	0.839
4	0.940	0.927	0.912	0.909
5	0.962	0.952	0.942	0.941
6	0.973	0.968	0.960	0.959
7	0.981	0.974	0.970	0.969
8	0.985	0.982	0.977	0.977
9	0.988	0.986	0.982	0.982
10	0.990	0.988	0.985	0.985
12	0.993	0.993	0.991	0.990
15	0.996	0.996	0.994	0.993
20	0.998	0.998	0.997	0.996
30	0.999	0.999	0.998	0.998

Ranges of α	Fig. 3	Fig. 4	Fig. 5
4 ≤ α ≤ 8	0.728	0.646	0.693
9 ≤ α ≤ 15	0.743	0.727	0.806
α > 15	0.757	0.811	0.920

Abstract

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Equations (20)

Applied Optics