| Summary: | 碩士 === 國立成功大學 === 機械工程學系 === 88 === The present study introduces the combination method of the Laplace transform technique and the Finite Difference Method to analyze the transient inverse geometry heat conduction problems, in conjunction with the temperature measurements to estimate the unknown irregular boundary shape. The Laplace transform technique is used to remove time-dependent terms, and then the Finite Difference Method is used to discrete the space domain in the transform domain. By the Least-squares schemes, the estimated values can be corrected until the errors between the measurement temperature and the temperature at the corresponding point are less than a small value. In order to validate the numerical method in present study, the calculated results will be compared with the results by using other methods. The effect of the measurement locations and measurement errors will be also investigated in the present study.
The application of the present study is valuable in the industry. For example, the obtainment of the eroded profile in the hearth plays the critical role for extending the campaign life of the blast furnace and reducing the cost of the maintenance. This information is deemed to be of importance in operation of blast furnace. Currently, most steel corporations use the combination model of the temperature measurements in the hearth and the steady heat conduction theory to predict the eroded profile. It is apparent that this theory is deviated from the real condition. Therefore, the transient heat conduction theory is adopted in the present study to estimate the eroded profile, which varies with the time. In order to obtain the proper locations of temperature sensors for tracking the hearth erosion profile over a long period of time, it is necessary to analyze the effect on the estimation ability of the eroded profile influenced by the sensor locations.
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