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Performance Analysis and Flow Calculations of the Gamma type Stirling engine
Cuo, Kai Lin
|關鍵字:||γ-type Stirling engine;γ-type史特靈引擎;CFD;thermodynamic model;CFD;熱力學模式||出版社:||機械工程學系所||引用:||G.Walker, Stirling-Cycle Machines, Clarendon Press. Oxford, University of Calgary, Canada, 1973. C.M, Hargreaves, The Philips Stirling Engine Chap4, Elsevier, New York,1991. G.Walker and J.R. Senft,Free Piston Stirling Engine,Springer-Verlag, New York,1985. Bancha Kongtragool, Somchai Wongwises, A review of solar-powered Stirling engines and low temperature differential Stirling engines and low temperature differential Stirling engines, Renewable and Sustainable Energy Reviews Volume7, 131-154,2003.  Çınar C., Karabulut H.,Manufacturing and Testing of a Gamma Type Stirling Engine, Renewable Engine, Volume30, Issue1, pp.57-66, 2005. Bancha Kongtragool, Somchai Wongwises, Investigation on power output of the gamma-configuration low temperature differential Stirling engines Renewable Energy, 30, 465–476,2005. Bancha Kongtragool, Somchai Wongwises, Thermodynamic analysis of a Stirling engine including dead volumes of hot space, cold space and regenerator, Renewable Energy 31, 345–359, 2006. Bancha Kongtragool, Somchai Wongwises, Performance of Low-temperature Differential Stirling engine, Renewable Energy 31, 345–359, 2006. Bancha Kongtragool, Somchai Wongwises, A four power-piston low-temperature differential Stirling engine using simulated solar energy as a heat source, Solar Energy 82, 493–500, 2008  Nezaket Parlak, Andreas Wagner, Michael Elsner, Hakan S. Soyhan, Thermodynamic analysis of a gamma type Stirling engine in non-ideal adiabatic conditions Renewable Energy, 1–8, 2008. Naostugu ISSHlKl, Hiroshi KOJIMA, Seita ISSHIKI, Report on the Developments of Steam Super Stirling Engine, AlAA 2000-2817.  http://quasiturbine.promci.qc.ca/QTStirling.html 謝耀中，線性史特靈引擎與機械爐床式焚化爐之結合。國立成功大學機械工程研究所碩士論文，2004。 林育煌，使用菱形驅動機構之同軸式史特靈引擎研究。大同大學機械工程研究所碩士論文，2005。 蘇振權，史特靈引擎流場之數值模擬與研究，2005。 黃仲雍、盧昭暉，移氣閥式史特靈引擎性能模擬分析與量測。能源與冷凍空調學術暨建築物能源管理技術研討會，2006。 Cengel YA, Boles MA., Thermodynamics: An Engineering Approach. 3rd ed. MCGraw-Hill. Annand, W.J., Heat Transfer in the Cylinders of Reciprocating Internal Combustion Engines., Proc. Instn. Mech. Engrs, vol. 177. JAMES G. KNUDSEN, DONALD L. KATZ. “FLUID DYNAMICS AND HEAT TRANSFER.” Frank P. Incropera David P.De Witt. “FUNDAMENTALS OF Heat and Mass Transfer.” Brahmadevan V Padmarajan,Philip Rubini, Numerical Modelling and Simulation of Rotary Engine, 2004. 呂政剛、黃仲雍、吳宗哲、盧昭暉， “低溫差移氣式β型史特靈引擎動態流場計算”，第十三屆全國計算流體力學學術研討會，2007。||摘要:||
The main purpose of this study is to calculate the internal flow field of Stirling engine and to analyze the influence of design parameters on the engine work. In this study, the gamma-type Stirling engine with separated displacer and power piston was used. The displacer and power piston is connected with a tube. The top side of the displacer was heated by hot air. The bottom side of the displacer was cooled by cold water flowing inside circular tubes.
A performance analysis program based on Matlab was developed in this study to calculate the efficiency of Stirling engine. Results of calculation showed that the engine efficiency was only 0.37% when the hot air temperature, the cooling water temperature, and the engine speed were fixed at 1000K, 300K, 80rpm, respectively. Different design parameters and operation conditions were tested to promote the engine's efficiency.
The calculated results showed that the engine's heat transfer rate and efficiency were affected by the setting of the hot air temperature, cooling water temperature, and the displacer's stroke. The best efficiency occurs at the compression ratio of 2.915, and the resulting efficiency is 11.66%. It is still lower than the theoretical efficiency, which is identical to the Carnot cycle efficiency. However, it is better than the actual values that have been reported for the displacer type Stiling engine without regenerator.
Finally, a commercial CFD package FLUENT was used to simulate the internal flow of Stirling engine in this study. A dynamic mesh generation algorithm was used to define the movement of piston as well as displacer. Both the two dimensional analysis and the three dimensional analysis were conducted. Results of simulation were compared with the outputs of the thermodynamic model. It was found that deviations in cylinder pressure occurred. The pressure in the dynamic chamber varies in the range of 141kPa~177.5kPa for the two dimensional model, while that varies in the range of 165kPa~187kPa for the thermodynamic model.
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