Transient Temperature Distributions in a Thermally Orthotropic Plate With Non-Uniform Surface Heating Page: 4 of 78
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ABSTRACT
A solution is obtained for the two-dimensional transient temper-
ature variation in a thermally orthotropic plate which is subjected to an
arbitrary heating rate distribution along one face with all other surfaces
being insulated. Dimensionless temperature histories and distributions
determined from this solution are presented for the special, but repre-
sentative, case of a linearly varying heating rate distribution on plates
with varying degrees of thermal orthotropy.
These results establish quantitatively the value of a material
with high planar and low normal thermal conductivities for applications
where it is desired to maintain minimum temperatures on the rear or
unheated surface of a heat shield when the heated surface is subjected
to a very non-uniform heating rate distribution. The applicability of
simplifying assumptions in analyzing such a system is discussed.
Experimental temperature measurements in a pyrolytic graphite
plate heated by an oxyacetylene flame were made to verify the analytical
results. Achievement of satisfactory agreement was found to be dependent
upon use of thermal property values differing from those presently avail-
able for this material. This is not unusual in that differences in
production methods are known to introduce substantial property variations
in anisotropic materials such as pyrolytic graphite.
*
Subsequent to the completion of this study additional thermal conductivity
data became available and local heat rate distributions determined more
precisely. A comparison of theoretically predicted temperature distribu-
tions based on this information with experimental measurements is included
in Appendix C. In view of the strong dependence of conductivity on
temperature, agreement is considered satisfactory.- i -
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Hornbaker, David Ross. Transient Temperature Distributions in a Thermally Orthotropic Plate With Non-Uniform Surface Heating, thesis or dissertation, June 1, 1961; United States. (https://digital.library.unt.edu/ark:/67531/metadc1055943/m1/4/: accessed May 27, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.