Analytical solution of spray cooling characteristics on a hot surface using the Laplace transform

This study applies the Laplace transform method in conjunction with the sequential-in-time concept and experimental temperature data to determine the unknown surface temperature and surface heat flux on a hot surface of the test material. The advantage of the present inverse scheme is that the unknown surface temperature and surface heat flux on a hot surface are determined without any iterative process and the initial guess. More importantly, their functional forms do not need to be assumed in advance. However, the whole time domain may be divided into several sub-time intervals. Later, the appropriate polynomial function in each sub-time interval is selected to fit the experimental temperature data at each measurement location. The results show that the present results are not very sensitive to the measurement location. In order to validate the accuracy of the present method, two experimental examples and an analytical example are illustrated. The comparison between the present results, exact results and other existing estimated results is made.