Abstract
Analytical solutions are presented for heat conduction between a semi-infinite solid and a perfect conductor with internal heat generation, taking into account a thermal contact resistance at the interface.
Zusammenfassung
Es werden analytische Lösungen mitgeteilt für die Wärmeleitung zwischen einem halbunendlichen Körper und einem idealen Leiter mit innerer Wärmeerzeugung, wenn an der Grenzfläche ein thermischer Kontakt wider stand existiert.
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Abbreviations
- a:
-
constant 21
- b:
-
constant 21
- c′ kJ/kg K:
-
specific heat
- H W/m2 K:
-
heat-transfer coefficient
- h m−1 7:
-
thermal conductivity of the solid
- M kg/m2 :
-
specific mass of the perfect conductor
- Q W/m2 :
-
energy input to the perfect conductor
- q W/m2 :
-
heat flux through the surface
- p s−1 :
-
Laplace variable
- t s:
-
time
- u K:
-
temperature of the perfect conductor
- V K:
-
initial temperature
- v K:
-
temperature of the solid
- x m:
-
position
- α W/m2K:
-
overall heat transfer coefficient
- ɛ:
-
energy flux 10
- μ:
-
capacity 11
- χ m2/s:
-
thermal diffusivity
- τ:
-
time 14
- ξ:
-
position 15
- +:
-
dimensionless variable
- ∼:
-
Laplace transformed variable
Literatur
Carslaw, H.S.; Jaeger, I.C.: Conduction of heat in solids. Oxford: University Press 1959
Fodor, G.: Laplace transforms in engineering. Budapest: 1965
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Muchowski, E. Transient heat transfer between a perfect conductor with heat generated in it and a semi-infinite solid including a contact resistance. Wärme- und Stoffübertragung 12, 161–164 (1979). https://doi.org/10.1007/BF00997309
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DOI: https://doi.org/10.1007/BF00997309