Inverse Analysis of Heat Conduction Problems with Experimental Data of Long Time Heat Treatment

  • 賴 揚生

Student thesis: Master's Thesis


This paper proposes a solution method for inverse analysis of long time heat conduction problems include of laser surface heating problem and spray cooling problem By minimizing the mean square error between the experimental data obtained from inside the body and estimated data from the derived analytical solution of a heat conduction problem with time-dependent boundary conductions the temperature at the unknown boundary can be determined Consequently the temperature distribution and the heat flux over the entire time and space domains can also be obtained The integral transform and tedious numerical operations are not required in the proposed solution method In addition the technique of dividing time into serval sub-time intervals is not required in long time heating treatment analysis Mathematical and experimental examples are given to illustrate the simplicity efficiency and accuracy of the proposed method
Date of Award2015 Aug 5
Original languageEnglish
SupervisorSen-Yung Lee (Supervisor)

Cite this