Abstract
We present an efficient method for the determination of three-dimensional nonsteady-state fields of bodies of simple shapes, when the heat-transfer coefficient from their surface changes locally.
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Abbreviations
- t:
-
temperature field
- θ:
-
dimensionless temperature field
- x, y, and z:
-
dimensional coordinates
- X, Y, and Z:
-
dimensionless cordinates
- τ:
-
time
- λ:
-
thermal conductivity
- a :
-
thermal diffusivity
Literature cited
I. Sneddon, Fourier Series, Routledge and Kegan (1973).
Yu. M. Kolyano and E. G. Grits'ko, “Narrow-channel heating of bodies,” Fiz. Khim. Obrab. Mater., No. 3, 149–152 (1977).
Yu. M. Kolyano and E. G. Grits'ko, in: Nonlinear Theory of Shells and Films [in Russian], Kazan (1980), p. 113.
Yu. M. Kolyano and E. G. Grits'ko, “Application of orthogonal systems of functions to the calculation of temperature fields locally heated from the face planes of films,” Mat. Metody Fiz. Mekh. Polya, No. 11, 100–103 (1980).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 42, No. 1, pp. 133–137, January, 1982.
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Kolyano, Y.M., Grits'ko, E.G. Spatial nonstationary heat-conduction problem for a prism with a coordinate-dependent heat-transfer coefficient. Journal of Engineering Physics 42, 111–114 (1982). https://doi.org/10.1007/BF00825004
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DOI: https://doi.org/10.1007/BF00825004