Mechanical Engineering Commons^™

Application Of Duhamel's Theorem To Problems Involving Oscillating Heat Source, Haribabu Krishnamurthy

LSU Master's Theses

This thesis deals with a systematic development of a method for predicting the temperature field in various domains subjected to oscillating heat sources on its boundaries using the Duhamel’s method. First a method is devised for single domain problems in both Cartesian and cylindrical coordinates for oscillating heat sources and also for unidirectional rotation of shafts in cylindrical coordinates. The analytically computed results for the problems in Cartesian coordinates compared favorably with the results from Finite Element Method, attesting to the validity of this novel approach. Later, the method is extended to predict the maximum temperature in oscillating Pin-Bushing mechanism, …