本論文探討雙動四汽缸史特靈引擎之運作原理，建立理論模式並以數值模擬結果觀察引擎運轉過程，以輔助設計雙動四汽缸史特靈引擎之原型機為目標。本論文使用之雙動四汽缸史特靈引擎選用擺軛式傳動機構作為動力傳輸裝置，並將設計實現於實體原型機引擎。利用理論模式針對單腔室分析，將單腔室分成五個子腔室，分別為膨脹室、加熱室、再生室、冷卻室與壓縮室，探討各子腔室內壓力、體積、溫度與質量之變化，並考慮工作流體在子腔室之間穿梭所造成之壓力損失。完成理論模式之建立，則將實體原型機之幾何參數輸入理論模型中，透過數值模擬預測引擎運轉過程各參數之變化，並計算引擎單腔室之功率與熱效率。根據數值模擬之結果，填充6大氣壓之氦氣、轉速1000 rpm、加熱溫度1000 K、冷卻溫度300 K之基準組指示功率為202.94 W，熱效率為7.75%。於等起始壓力條件下四腔室分析結果為736.6 W，熱效率9.4%；等質量條件下四腔室分析結果為774.7 W，熱效率7.74%。

This thesis is dedicated to the investigation of the operating principle and theoretical model analysis of a double acting four-cylinder Stirling engine. A prototype engine is built for the purpose of this thesis and further analysis, and a wobble yoke mechanism is selected for mechanical design. The analysis of the double acting Stirling engine begins by dividing the engine to a single chamber, containing five sub-chambers: expansion chamber, heating chamber, regeneration chamber, cooling chamber and compression chamber. Each sub-chamber is analyzed for pressure, volume, temperature and mass variation of the working fluid. Pressure drop by friction loss is then taken into consideration. Upon completion of setting up theoretical model, it is compiled in numerical simulation under prototype engine parameters to simulate engine operating conditions. With gaseous helium as working fluid and under the condition of 6 atmospheres, 1000 rpm of engine speed, 1000 Kelvin heating temperature and 300 Kelvin cooling temperature, the resulting single chamber power is 202.94 Watts, and the thermal efficiency is 7.75%. Further investigation of four-chamber simulation with equal initial pressure conditions shows results of engine power 736.6 Watts and thermal efficiency 9.4%. In parallel, the results for a four-chamber simulation under equal mass condition are 774.7 Watts for engine power and 7.74% for thermal efficiency.

[1] N. SED, Stirling Engine Assessment. Electric Power Research Institute Inc., Netherlands ERPI, 2002.
[2] A. J. Organ, The air engine: Stirling cycle power for a sustainable future. Elsevier, New York, 2007.
[3] C. M. Hargreaves, The Phillips Stirling engine. Elsevier, New York,1991.
[4] A. J. Organ, Thermodynamics and gas dynamics of the Stirling cycle machine. Cambridge University Press, Cambridge, 1992.
[5] V. A. W. Hillier and P. Coombes, Hillier's fundamentals of motor vehicle technology. Nelson Thornes, Cheltenham, 2004.
[6] W. R. Martini, Stirling engine design manual. US Department of Energy, Office of Conservation and Solar Applications, Division of Transportation Energy Conservation, 1978.
[7] L. J. K. Setright, Some unusual engines. Technical Engineering Publications, Suffolk, United Kingdom, 1979.
[8] D. M. Clucas, Development of a Stirling engine battery charger based on a low cost wobble mechanism. PhD thesis, University of Caterbury, New Zealand, 1993.
[9] I. Urieli and D. M. Berchowitz, Stirling cycle engine analysis. Taylor & Francis, Oxford, 1984.
[10] R. A. Ackermann, Cryogenic regenerative heat exchangers. Springer Science & Business Media, New York, 2013.
[11] F. P. Incropera, A. S. Lavine, T. L. Bergman, and D. P. DeWitt, Fundamentals of heat and mass transfer. Wiley, New York, 2007.
[12] W. M. Kays and A. L. London, Compact heat exchangers. Mcgraw-Hill, Ney York, 1984.
[13] R. F. Barron, Cryogenic heat transfer. Taylor & Francis Philadelphia, PA, 1999.
[14] T. Zhao and P. Cheng, Oscillatory pressure drops through a woven-screen packed column subjected to a cyclic flow. Cryogenics, vol. 36, pp. 333-341, 1996.
[15] I. Tlili and A. Sa’ed, Thermodynamic evaluation of a second order simulation for Yoke Ross Stirling engine. Energy Conversion and Management, vol. 68, pp. 149-160, 2013.
[16] R. W. Haywood, Analysis of Engineering Cycles: Thermodynamics and Fluid Mechanics Series. Elsevier,New York, 2013.
[17] C.-H. Cheng and Y.-J. Yu, Dynamic simulation of a beta-type Stirling engine with cam-drive mechanism via the combination of the thermodynamic and dynamic models. Renewable Energy, vol. 36, pp. 714-725, 2011.