Abstract
This paper proposes a solution method for the inverse spray cooling problem with relatively long cooling time. The entire time domain is divided into several sub-time intervals. By minimizing the mean square error between the experimental data obtained from inside the body and the estimated data from the derived analytical solution of a spray cooling problem with time-dependent boundary conditions, the temperature function at the spray cooling surface in each sub-time interval can be predicted.Consequently, the temperature distribution and the heat flux over the entire time and space domains can also be obtained. In addition, the integral transform and tedious numerical operations are not required in the proposed solution method. Mathematical and experimental examples are given to illustrate the simplicity, efficiency, and accuracy of the proposed method.
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