Transactions of the Architectural Institute of Japan
Online ISSN : 2433-0027
Print ISSN : 0387-1185
ISSN-L : 0387-1185
11) GENERAL SOLUTION FOR UNSTEADY CONDUCTION OF HEAT IN MULTI-LAYER PLAIN WALLS. PART II.
Fusao Hasegawa
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1959 Volume 62 Pages 65-73

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Abstract
In the last report, I described how to obtain the Laplace transforms of temperature and heat flow at any layer-boundary in multi-layer plain wall, of which the temperature at each boundary (or fluid temperature) or, and heat production at some boundary are given, and initial temperature is zero. And I shew the results for general case. In this report, it is shown that the solutions for the following two cases are gained in the same type as the last one, by assuming imaginary heat flow _<μ-1>w_μ(s), _μw_<μ+1>(s) produced at boundaries (μ-1, μ) and (μ, μ+1), suitable for each condition. (a) the case when heat W_μ(x, t) is produced in the μ layer. (b) the case when initial temperature distribution f_μ(x, t) is to be considered. Laplace transforms of temperature and heat flow in any layer are given in general forms. Fathermore, I show the way of convers transformation for gaining temperature and heat flow in any layer in the function of time (t). Several examples are shown at the end of this report.
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© 1959 Architectural Institute of Japan
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