An analytical technique is presented for treating heat conduction problems involving a body experiencing oscillating heat flux on its boundary. The boundary heat flux is treated as a combination of many point heat sources, each of which emits heat intermittently based on the motion of the flux. The working function of the intermittent heat source with respect to time is evaluated by using the Fourier series and temperature profile of each point heat source is derived by using the Duhamel’s theorem. Finally, by superposition of the temperature fields over all the point heat sources, the temperature profile due to the original moving heat flux is determined. Prediction results and verification using finite element method are presented for an oscillatory heat flux in a rectangular domain.

Issue Section:
Technical Briefs
Keywords:
heat conduction, Fourier series, finite element analysis, thermomechanical treatment, fluid oscillations, oscillating heat flux, point heat source, Fourier series, Duhamel’s theorem
Topics:
Heat, Heat flux, Temperature, Temperature profiles, Theorems (Mathematics), Fourier series, Heat conduction
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Copyright © 2007
 by American Society of Mechanical Engineers
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