ISSN:
1572-9125
Keywords:
Heat
;
conduction
;
Laplace
;
transform
;
inversion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract An upright cylindrical container blasted into the rock is filled instantaneously with a warm liquid. Heat is transferred from the liquid into the surrounding rock and the open air. The temperature of the liquid and the surrounding rock is determined as a function of time. The differential equation and the auxiliary conditions of the transient heat conduction problem are Laplace transformed, the subsidiary equations are solved by two-dimensional relaxation, and the resulting temperature is obtained by means of numerical inversion of the Laplace transform. The results are presented numerically and graphically.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01966092
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