Heat flow in laminated composites parallel to the layering when the surface heating is of high frequency
Abstract
When the layers of a semiinfinite composite are perpendicular to the bounding surface, and highfrequency heating is applied on the surface, the resulting heat conduction is governed by two equations subject to appropriate symmetryplane, surface, and interface boundary conditions. In seeking the solution one is led to the requirement of finding the roots of a complex eigenvalue equation. This is accomplished for when frequency goes to infinity in the form of an asymptotic expansion, progressing in inverse powers of the square root of frequency. Except for a thin transition layer adjacent to the surface, the ensuing temperature profile parallel to the surface will develop a neardiscontinuity as one penetrates into the body. For the harmonic input of constant amplitude, the temperature will rise within an evernarrowing layer from zero to a finite value at the interface, as one passes from the matrix to the filler layer of higher conductivity.
 Publication:

In: International Conference on Composite Materials
 Pub Date:
 1976
 Bibcode:
 1976coma....2..527H
 Keywords:

 Conductive Heat Transfer;
 Heat Transmission;
 Laminates;
 Metal Matrix Composites;
 Surface Temperature;
 Thermal Conductivity;
 Transient Heating;
 Asymptotic Methods;
 Eigenvalues;
 Fillers;
 Frequency Response;
 Roots Of Equations;
 Temperature Distribution;
 Fluid Mechanics and Heat Transfer