Quenching heat flux calculated using information from deeply buried thermocouples

In this paper beck's Second Method of Analysis for Inverse Heat Transfer (IHT) problems is used to deduce surface heat fluxes during a quenching experiment using temperatures measured by buried thermocouple. The number of future time steps used to stabilize the method is proportional to the Fourier modulus calculated sing the depth of the thermocouple as the length scale, and, from published results, is typically 2 to 4. In this paper, the simulated quenching of an instrumented nickel cylinder is described. Simulated signals from deeply buried thermocouple (5.07 and 9.53 mm from the cooled surface) are used to drive inverse calculations of surface heat flux during quenching. The number of future time steps was varied systematically to determine the behavior of several variants of Beck's algorithm