Experimental Validation Of Analytical Solutions
For A Transient Heat Conduction Problem
Author(s)
N. Simões, I. Simões, A. Tadeu, C. Vasconcellos & W. Mansur
Abstract
This paper analyses heat transfer across multilayer systems when boundary
conditions are unsteady. The results of analytical simulations and experimental
tests were compared in order to validate the analytical formulation. The
formulation that is proposed to solve this problem uses Green’s functions to
handle the conduction phenomena. The Green’s functions are established by
imposing the continuity of temperatures and heat fluxes at the interfaces of the
various layers. The technique used to deal with the unsteady state conditions
consists of first computing the solution in the frequency domain (after the
application of time and spatial Fourier transforms along the two horizontal
directions), and then applying (fast) inverse Fourier transforms into space-time.
The thermal properties of the multilayer system materials have been previously
defined experimentally.
For the experimental measurements the multilayer system was mounted on a
guarded hotplate capable of imposing a controlled heat variation at the top and
bottom boundaries of the system. Temperatures were recorded using a
thermocouple set connected to a data logger system. Comparison of the results
showed that the analytical solutions agree with the experimental ones.
Keywords: experimental validation, transient heat conduction, Green’s functions
formulation, frequency domain.
Keywords
experimental validation, transient heat conduction, Green’s functions
formulation, frequency domain
Related Book
Other papers in this volume
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