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Mathematical analysis for radiometric calorimetry of a radiating sphereEquations are derived from which the temperature dependence of both the specific heat and the thermal diffusivity of a spherical sample of material can be calculated from observations of the time dependence of the surface temperature and the time-rate of energy loss from the sample as it cools. The derivation takes into account the nonuniformity of the interior temperature field of the sample, and the resulting equations can be applied not only to radiative cooling, but also to any other cooling mechanism that does not violate the assumed spherical symmetry. The analysis excludes change of phase, but it does take thermal expansion into account. To permit the making of estimates necessary for the design of radiative cooling experiments, a universal temperature-time cooling curve is derived for the post-transient cooling regime of a radiating sphere of any size with arbitrary, but constant, thermal parameters.
Document ID
19830061725
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Schmid, L. A.
(National Bureau of Standards, National Engineering Laboratory, Washington DC, United States)
Date Acquired
August 11, 2013
Publication Date
December 1, 1982
Publication Information
Publication: Journal of Research
Volume: 87
Subject Category
Thermodynamics And Statistical Physics
Accession Number
83A42943
Distribution Limits
Public
Copyright
Other

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