A theory for the square guarded hot plate—a solution of the heat conduction equation for a two layer system
Author:
I. G. Donaldson
Journal:
Quart. Appl. Math. 19 (1961), 205-219
MSC:
Primary 80.99
DOI:
https://doi.org/10.1090/qam/135851
MathSciNet review:
135851
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Abstract: A theoretical treatment is given for the action of the guarded hot plate apparatus used for measuring conductivities. The flow of heat through the metal hot plate itself, and the effects of temperature unbalance between hot plate and guard plate are both taken into account. The temperature at any point in the sample or in the heater plate may be determined. The theory is comprehensive and any of the dimensions or controlling parameters may be varied in the calculation.
Method of test for thermal conductivity of materials by means of the guarded hot plate (C 177–45), 1955 Book of ASTM Standards, Part 3, p. 1084
Method of test for thermal conductivity of building materials by means of the guarded hot plate, Laboratorio Nacional de Engenharia Civil, Ministerio das Obras Publicas, Lisbon, Portugal, May 1954
Definitions of heat insulating terms and methods of determining thermal conductivity and solar reflectivity, Standard No. 874, British Standards Institution, 1956
H. E. Robinson and T. W. Watson, Interlaboratory comparison of thermal conductivity determinations with guarded hot plates, Symposium on Thermal Insulating Materials, Am. Soc. Testing Materials, Special Technical Publication, No. 119, p. 36 (1951)
C. F. Gilbo, Experiments with a guarded hot plate thermal conductivity set, Symposium on Thermal Insulating Materials, Am. Soc. Testing Materials, Special Technical Publication No. 119, p. 45 (1951)
A. J. A. Roux, S. J. Richards, and W. M. H. Rennhackkamp, The Measurement of the thermal properties of building materials—the thermal conductivity of thin 12” square samples, Series DR—6, South African Council for Scientific and Industrial Research, National Building Research Inst., Nov. 1950
A. Pascal, La mesure de la conduction thermique des materiaux du batiment, Inst. Technique du Batiment et des Travaux Publics, No. 90, pp. 583–598 (June 1955)
W. Woodside and A. G. Wilson, Unbalance errors in guarded hot plate measurements, Symposium on Thermal Conductivity Measurements and Applications of Thermal Insulations, Am. Soc. Testing Materials, Special Technical Publication, No. 217, p. 32 (1957)
E. V. Somers and J. A. Cyphers, Analysis of errors in measuring thermal conductivities of thermal insulating materials, Rev. Sci. Instr. 22, No. 8, 583–585 (1951)
G. M. Dusinberre, Further analysis of errors of the guarded hot plate, Rev. Sci. Instr. 23, No. 11, 649 (1952)
W. Woodside, Analysis of errors due to edge heat loss in guarded hot plates, Symposium on Thermal Conductivity Measurements and Applications of Thermal Insulations, Am. Soc. Testing Materials, Special Technical Publication, No. 217, p. 49 (1957)
W. Woodside, Deviations from one-dimensional flow in guarded hot plate measurements, Rev. Sci. Instr. 28, No. 12, 1033–1037 (1957)
- H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, 2nd ed., Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1988. MR 959730
Method of test for thermal conductivity of materials by means of the guarded hot plate (C 177–45), 1955 Book of ASTM Standards, Part 3, p. 1084
Method of test for thermal conductivity of building materials by means of the guarded hot plate, Laboratorio Nacional de Engenharia Civil, Ministerio das Obras Publicas, Lisbon, Portugal, May 1954
Definitions of heat insulating terms and methods of determining thermal conductivity and solar reflectivity, Standard No. 874, British Standards Institution, 1956
H. E. Robinson and T. W. Watson, Interlaboratory comparison of thermal conductivity determinations with guarded hot plates, Symposium on Thermal Insulating Materials, Am. Soc. Testing Materials, Special Technical Publication, No. 119, p. 36 (1951)
C. F. Gilbo, Experiments with a guarded hot plate thermal conductivity set, Symposium on Thermal Insulating Materials, Am. Soc. Testing Materials, Special Technical Publication No. 119, p. 45 (1951)
A. J. A. Roux, S. J. Richards, and W. M. H. Rennhackkamp, The Measurement of the thermal properties of building materials—the thermal conductivity of thin 12” square samples, Series DR—6, South African Council for Scientific and Industrial Research, National Building Research Inst., Nov. 1950
A. Pascal, La mesure de la conduction thermique des materiaux du batiment, Inst. Technique du Batiment et des Travaux Publics, No. 90, pp. 583–598 (June 1955)
W. Woodside and A. G. Wilson, Unbalance errors in guarded hot plate measurements, Symposium on Thermal Conductivity Measurements and Applications of Thermal Insulations, Am. Soc. Testing Materials, Special Technical Publication, No. 217, p. 32 (1957)
E. V. Somers and J. A. Cyphers, Analysis of errors in measuring thermal conductivities of thermal insulating materials, Rev. Sci. Instr. 22, No. 8, 583–585 (1951)
G. M. Dusinberre, Further analysis of errors of the guarded hot plate, Rev. Sci. Instr. 23, No. 11, 649 (1952)
W. Woodside, Analysis of errors due to edge heat loss in guarded hot plates, Symposium on Thermal Conductivity Measurements and Applications of Thermal Insulations, Am. Soc. Testing Materials, Special Technical Publication, No. 217, p. 49 (1957)
W. Woodside, Deviations from one-dimensional flow in guarded hot plate measurements, Rev. Sci. Instr. 28, No. 12, 1033–1037 (1957)
H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, Clarendon Press, Oxford, 1st ed., 1948, p. 99
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Article copyright:
© Copyright 1961
American Mathematical Society
