Summary: | 碩士 === 國立成功大學 === 機械工程學系碩博士班 === 93 === The present study applies the Laplace transform technique and finite difference method in conjunction with least-squares scheme and the experiment data to predict the variation of the surface temperature and surface heat flux during spray cooling on a hot surface. First, time-dependent terms in the governing differential equation and the boundary conditions are removed by using the Laplace transform technique, and then the resulting differential governing equation and boundary conditions are solved by using the finite-difference method. The functional form of the unknowable estimates is not given a prior before performing the inverse calculation. To obtain more accurate estimates, the whole time domain is divided into several sub-time domains. The hybrid inverse scheme is applied to obtain the present estimates for each sub-time domain. The advantage of the present numerical scheme is that, the temperature can be calculated at a specific time without step-by-step computation from the initial time. In this thesis, various examples are illustrated to show the accuracy of the present hybrid inverse numerical method. The results show that the present numerical method can accurately and efficiently obtain the present estimates. Also, the estimated the surface temperature is coincided with the experimental data.
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