| Summary: | 碩士 === 國立成功大學 === 工程科學系碩博士班 === 101 === Phase-change in a solidification process is a very important physical phenomenon, in which the latent-heat effect cannot be ignored. In the thesis, the finite element method with different numerical schemes of handling the latent-heat effect is used to analyze the temperature distributions of phase-change heat transfer problems.
In the work, the one-dimensional Stefan and the two-dimensional Rathjen problems are numerically studied. The effective specific heat and the specific heat/enthalpy methods are employed to deal with the latent-heat effect and the accuracy and CPU time of these schemes are compared and analyzed. From the results, it can be found that the latter method could solve the problems more accurately and faster than the former one.
With different integration methods and numbers of integration points, the rectangle and triangle elements are utilized to study the phase-change problems. The total error is used to compare the solution accuracies of these schemes. The closed-form integration formula is not a good way applied to solve the solidification problems. The rectangle element could have the more accurate result than the triangle one.
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