本文藉由簡化模型推導批次加熱器之一維解析解，確立熱傳面積與流量配置的關係式並使用Visual Basic語言撰寫一套批次加熱器之輔助設計軟體，最後使用計算流體力學來對內部式批次加熱器進行三維數值模擬，計算其暫態熱傳係數，由此得到總括熱傳系數。
批次加熱器依槽內液體是否循環分為外部式與內部式兩種，外部式批次加熱器利用泵浦將槽內液體抽出至熱交換器進行加熱後再循環至槽桶內，內部式批次加熱器則使用套層或盤管來對槽桶內之液體進行加熱。在推導批次加熱器的一維解析解時使用了ε-NTU method以及能量守恆的概念，推導的熱交換器則有逆向流、1-2殼管式熱交換器以及平行流三種不同熱交換器。此外本文根據推導之一維解析解再藉由Visual Basic語言設計一套人性化的視窗程式，提供使用者可靠的計算結果作為設計參考。程式主要分成：(一)槽側與熱交換器流量已知，計算熱傳面積，(二)槽側與熱交換器流量均未知，計算熱傳面積。
除了推導批次加熱器一維解析解之外，本文使用計算流體力學的方式對使用盤管加熱之槽桶進行三維計算流體力學分析。被加熱的液體有水或者SAE10機油。模擬計算自然對流以及攪拌器在不同轉速下的速度場、溫度分布並且計算其熱傳係數。
關鍵字：批次加熱、熱交換器、數值模擬

When a tank of liquid is either heated or cooled over a period of time, it is commonly referred to as “batch heating (cooling)”. Batch heating (cooling) are used in many fields, such as manufacturing process, food industry, pharmacy, oil quenching pool, heavy oil heating, etc. There are two kinds of batch heating. If the tank contents are pumped out of the tank, through a heat exchanger, and then back into the tank, it is called external batch heating, while internal batch heating is heated by coils or jackets instead of heat exchanger without tank circulation. In the present study, the objective was to derive one-dimensional analytical solution for both external and internal batch heating, find overall heat transfer coefficient of tank with three dimensional numerical simulation and then develop CAD software for batch heating design. The final result shows that increasing the flow rate could reduce the heat transfer areas. However, the pumping power is the cubic proportional to the flowrate, balance between flowrate and heat transfer area should be considered carefully. The CAD software developed in this study has two main functions: (1) The flow rate of the tank side and the heat exchanger side are known, and then calculate heat transfer area; (2) The flow rate of the tank side and the heat exchanger side are unknown, and calculate the heat transfer area. Users could get reliable design reference from CAD.
key words: Batch Heating, Heat Exchanger, Numerical simulation

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