ABSTRACT
Most heat conduction problems are concerned with the determination of temperatures at interior points when certain initial and boundary conditions are given, such as temperature or heat flux. The inverse problem is concerned with the estimation of the applied heat fluxes based on measured temperature data. The inverse heat conduction problem is one of the more difficult problems to solve for two main reasons. First, in the direct problem, the high-frequency components of the applied heat flux are damped as the heat flow diffuses through the solid medium. Second, the physics of heat conduction introduces a natural lag between the applied heat flux and the temperature response away from the flux. In order to demonstrate the ability of the inverse method to estimate these quenching curves, a one-dimensional quench was numerically simulated using a direct heat transfer process. As was the case for the one-dimensional problem, a series of inverse problems were solved varying only the smoothing parameter.
