Abstract
A method based on the Laplace Transform Technique has been developed to solve the problem of transient one-dimensional heat conduction in a composite plane wall. The temperature distribution is obtained in close form in thes-domain. A series inverse transformation method is used to obtain the temperatures in the time domain. To illustrate the method, it has been applied to evaluate the transient response of three representative composite plane walls.
Zusammenfassung
Hier ist ein auf der Laplace-Transformation basierendes Verfahren entwickelt worden, um das Problem der transienten eindimensionalen Wärmeleitung in einer zusammengesetzten ebenen Wand zu lösen. Die Temperaturverteilung ist durch die geschlossene Form ims-Bereich erhalten worden. Es sind eine Reihe von Transformationsverfahren benutzt worden, um die Temperatur im Zeitbereich zu erhalten. Um das Verfahren zu veranschaulichen, wurde für die Berechnung der transienten Reaktion der drei repräsentativen, zusammengefügten, ebenen Wände angewandt.
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References
Letherman, K. M.: A rational criterion for accuracy of modelling of periodic heat conduction in plane slabs. Bldg. Envir. 12 (1977) 127–130
Buther, P.; Letherman, K. M.: A criterion for the accuracy of modelling of transient heat conduction in plane slabs. Bldg. Envir. 15 (1980) 143–149
Green, M. D.; Ulge, A.: Frequency and time domain thermal response of dwellings. Bldg. Envir. 14 (1979) 107
Bunn, J. P.: The thermal response of a homogeneous slab to a constant heat flux. Bldg. Envir. 18 (1983) 61–64
Stewart, D. B.: Time-domain transient thermal response of structural elements. Bldg. Envir. 16 (1981) 87–91
Hoffman, M.; Schwartz, B.: Computation of steady and time-dependent temperature distribution for building elements; a general three-dimensional solution. Bldg. Envir. 15 (1980) 63–72
Chu, H.; Weng, C.; Chen, C.: Transient response of a composite straight fin. ASME Transactions J. of Heat Transfer. 105 (1983) 307–311
Chu, H.; Chen, C.; Weng, C.; Applications of Fourier series technique to transient heat transfer problem. Chem. Eng. Commun. 16 (1982) 215–225
Myers, G. F.: Analytical methods in conduction heat transfer. New York: McGraw-Hill 1971
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Al-Mujahid, A., Zedan, M.F. Transient heat-conduction response of a composite plane wall. Wärme- und Stoffübertragung 26, 33–39 (1991). https://doi.org/10.1007/BF01589901
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DOI: https://doi.org/10.1007/BF01589901