About the book
A direct solution of heat conduction equation with prescribed initial and boundary conditions yields temperature distribution inside a specimen. The direct solution is mathematically considered as well-posed because the solution exists and continuously depends on data input. The estimation of unknown parameters from the measured temperature data is known as inverse heat conduction problem. It is mathematically known as an ill-posed problem since the solution does not depend continuously on the input data. Data measurement error in temperature, thermal lagging, thermocouple-cavity and signal noise etc. makes stability problem in the estimation of unknown parameters. The solution of transient heat conduction equation can be obtained using analytical or numerical schemes in conjunction to consider measured temperature history. The estimation of the unknown parameters can be carried out employing gradient or non-gradient methods to predict the unknown parameters in a prescribed tolerance limit. The inverse heat conduction analysis will help to optimize diagnosis and failure analysis in many disciplines of engineering and science. The aim of the book is to analyze the inverse problem in Aerospace, Nuclear, Mechanical, Applied Mechanics, Manufacturing, Metallurgy and Bio-medical Sciences.