Comparative study on the performance of different drive mechanisms used in a beta type Stirling engine through thermodynamic analysis

In this study, thermodynamic and kinematic analyses of bell crank, slider crank, rhombic and scotch yoke drive mechanisms were performed for a beta type Stirling engine with a swept volume of 365 cm3. The kinematic analyses of Stirling engines with these different drive mechanisms were investigated by using the MSC Adams program, and the pressure-volume variations depending on the crankshaft angle were determined by using the isothermal analysis method. It was determined that compression and expansion volume values of rhombic drive mechanism were close to each other, while compression volume value was extremely higher than expansion volume value in other drive mechanisms. For this reason, in this research conducted with working fluid of equal amount (m=0.000716 kg), for all of drive mechanisms, it was determined that engine with rhombic drive mechanism generates 19.2% net work more than the other drive mechanism. The masses of working fluid used in 1 bar charge pressure from engines with bell crank, slider crank, rhombic and scotch yoke drive mechanism were 0.000716 kg, 0.000737 kg, 0.000536 kg and 0.000724 kg, respectively. The net work amounts obtained as a result of the thermodynamic analyses made for the 1 bar charge pressure value in bell crank, slider crank, rhombic and scotch yoke drive mechanisms are 12.85 J, 12.44 J, 11.61 J and 13.05 J, respectively. In this research conducted with working fluid in the same charge pressure, it was determined that 10.8% less net work was obtained from engine with rhombic drive mechanism. Since all the changes of the volume in the bell crank, slider crank and scotch yoke drive mechanisms are very close to each other, the net work performance values obtained with the equal amount of working fluid and the same charge pressure values are also very close to each other.

Keywords:

Stirling engines, Bell crank, Slider crank, Scotch Yoke, Rhombic Scotch Yoke, Thermodynamic analysis,

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[1] N. Abas, A. Kalair, N. Khan, Review of fossil fuels and future energy technologies, Futures, 69, 31-49, (2015).
[2] BP, Statistical Review of World Energy, (2016).
[3] A.A.A. Agll, Y.M. Hamad, T.A. Hamad, J.W. Sheffield, Study of energy recovery and power generation from alternative energy source, Case Studies in Thermal Engineering, 4, 92-98, (2014).
[4] S. Shafiee, E. Topal, When will fossil fuel reserves be diminished?, Energy Policy, 37, 181-189, (2009).
[5] K. Kaygusuz, Energy for sustainable development: A case of developing countries, Renewable and Sustainable Energy Reviews, 16, 1116-1126, (2012).
[6] G. Walker, Stirling engines, United States by Oxford University Press, (1980).
[7] R. Stirling, Stirling air engine and the heat regenerator, Patent No: 4081, (1816).
[8] D. Erol, H. Yaman, B. Doğan, A review development of rhombic drive mechanism used in the Stirling engines, Renewable and Sustainable Energy Reviews, 78, 1044-1067, (2017).
[9] C. Çınar, F. Aksoy, D. Erol, The effect of displacer material on the performance of a low temperature differential Stirling engine, International Journal of Energy Research, 36, 911-917, (2012).
[10] H.D. Brey, H. Rinia, F.L.V. Weenen, Fundamentals for the development of the philips air engine, Philips Technical Review, 9, 97-104, (1947).
[11] R.J. Meijer, The Philips hot gas engine with rhombic drive mechanism, Philips Technical Review, 20, 245-276, (1959).
[12] R.J. Meijer, Philips Stirling engine activities, SAE Technical Paper, 650004, (1965)
[13] G. Walker, O.R. Fauvel, G. Reader, The literature of stirling engines, in: Energy Conversion Engineering Conference, Proceedings of the 24th Intersociety, (1989).
[14] G. Schmidt, Theorie der Lehmann’schen Calorischen Maschine (Theory of Lehmann’s caloric machine), Zeitschrift des Vereins deutscher Ingenieure, 15, (1871).
[15] A.J. Organ, Thermodynamics and gas dynamics of the stirling cycle machine, Cambridge University Press, New York, (1992).
[16] T. Finkelstein, A new isothermal theory for Stirling machine analysis and a volume optimization using the concept of ancillary and tidal domains, in: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 212, 225-236, (1998).
[17] I. Delyova, D. Hroncova, P. Frankovsky, E. Dzurisova, F. Rakay, Kinematic analysis of crank rocker mechanism using MSC Adams/View, Applied Mechanics and Materials, 611, 90-97, (2014).
[18] J. Doane, Machine analysis with computer applications for mechanical engineers, John Wiley and Sons, (2015).
[19] T. Finkelstein, A.J. Organ, Air engines the history science and reality of the perfect engine, The American Society of Mechanical Engineers, New York, (2004).
[20] C.M. Hargreaves, The philips stirling engine, Elsevier, New York, (1991).
[21] H. Karabulut, F. Aksoy, E. Öztürk, Thermodynamic analysis of a beta type Stirling engine with a displacer driving mechanism by means of a lever, Renewable Energy, 34, 202-208, (2009).
[22] H. Karabulut, H.S. Yücesu, C. Çınar, F. Aksoy, An experimental study on the development of a beta type Stirling engine for low and moderate temperature heat sources, Applied Energy, 86, 68-73, (2009).
[23] C.S. Sharma, K. Purohit, Theory of mechanisms and machines, Prentice-Hall of India Private Limited, New Delhi, (2006).
[24] G.S. Sawhney, Fundamentals of mechanical engineering: Thermodynamics, mechanics, theory of machines, strength of materials and fluid dynamics, PHI Learning Private Limited, (2015).
[25] K.J. Waldron, G.L. Kinzel, S.K. Agrawal, Kinematics, dynamics, and design of machinery, Wiley, (2016).
[26] D. Hroncova, M. Binda, P. Sarga, F. Kicak, Kinematical analysis of crank slider mechanism using MSC Adms/View, Procedia Engineering, 48, 213-222, (2012).
[27] C. Çınar, H.S. Yücesu, T. Topgül, M. Okur, Beta type Stirling engine operating at atmospheric pressure, Applied Energy, 81, 351-357, (2005).
[28] C.H. Cheng, 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, 36, 714-725, (2011).
[29] J.A. Araoz, M. Salomon, L. Alejo, T.H. Fransson, Numerical simulation for the design analysis of kinematic Stirling engines, Applied Energy, 159, 633-650, (2015).
[30] G. Barreto, P. Canhoto, Modelling of a Stirling engine with parabolic dish for thermal to electric conversion solar energy, Energy Conversion and Management, 132, 119-135, (2017).
[31] W.S. Badr, M. Fanni, A.K. Abdel-Rahman, S.A. Rasoul, Dynamic simulation and optimization of rhombic drive Stirling engine using MSC Adams software, Procedia Technology, 22, 754-761, (2016).
[32] E. Eid, Performance of a beta configuration heat engine having a regenerative displacer, Renewable Energy, 34, 2404-2413, (2009).
[33] C.H. Cheng, Y.J. Yu, Numerical model for predicting thermodynamic cycle and thermal efficiency of a beta type Stirling engine with rhombic drive mechanism, Renewable Energy, 35, 2590-2601, (2010).
[34] C.H. Cheng, Y.J. Yu, Combining dynamic and thermodynamic models for dynamic simulation of a beta type Stirling engine with rhombic drive mechanism, Renewable Energy, 37, 161-173, (2012).
[35] C.H. Cheng, H.S. Yang, Optimization of geometrical parameters for Stirling engines based on theoretical analysis, Applied Energy, 92, 395-405, (2012).
[36] C.H. Cheng, H.S. Yang, L. Keong, Theoretical and experimental study of a 300 W beta type Stirling engine, Energy, 59, 590-599, (2013).
[37] H.S. Yang, C.H. Cheng, Development of a beta type Stirling engine with rhombic drive mechanism using a modified non ideal adiabatic model, Applied Energy, 200, 62-72, (2017).
[38] C.H. Cheng, Y.F. Chen, Numerical simulation of thermal and flow fields inside a 1 kW beta type Stirling engine, Applied Thermal Engineering, 121, 554-561, (2017).
[39] D.J. Shendage, S.B. Kedare, S.L. Bapat, An analysis of beta type Stirling engine with rhombic drive mechanism, Renewable Energy, 36, 289-297, (2011).
[40] H. Solmaz, H. Karabulut, Performance comparison of a novel configuration of beta type Stirling engines with rhombic drive engine, Energy Conversion and Management, 78, 627-633, (2014).
[41] F. Aksoy, H. Solmaz, H. Karabulut, C. Çınar, Y.Ö. Özgören, S. Polat, A thermodynamic approach to compare the performance of rhombic drive and crank drive mechanisms for a beta type Stirling engine, Applied Thermal Engineering, 93, 359-367, (2016).
[42] D. Scott, New Wave, in: Popular Science, 236, 56-57, (1990).
[43] V. Arakelian, J.-P.L. Baron, M. Mkrtchyan, Design of Scotch yoke mechanisms with improved driving dynamics, in: Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, (2015).
[44] T. Mang, K. Bobzin, T. Bartels, Industrial Tribology: Tribosystems, Friction, Wear and Surface Engineering, Lubrication, Wiley VCH Verlag GmbH & Co. KGaA, (2010).
[45] F. Toda, S. Iwamoto, M. Takeuchi, Development of 300 W class low temperature differential Stirling engine, in: Proceedings of the 7th ICSC, Tokyo, JSME,, (1995).
[46] S. Iwamoto, F. Toda, K. Hirata, M. Takeuchi, T. Yamamoto, Comparison of low-and high-temperature differential Stirling engines, in: Proceedings of eighth International Stirling engine conference, 29-38, (1997).
[47] K. Hirata, S. Iwamoto, F. Toda, K. Hamaguchi, Performance evaluation for a 100 W Stirling engine, in: Proceedings of 8th International Stirling Engine Conference, 19-28, (1997).
[48] A. Sripakagorn, C. Srikam, Design and performance of a moderate temperature difference Stirling engine, Renewable Energy, 36, 1728-1733, (2011).
[49] N.V. Orlandea, Multibody systems history of Adams, Journal of Computational and Nonlinear Dynamics, 11 (2016).
[50] A.A. Shabana, An important chapter in the history of multibody system dynamics, Journal of Computational and Nonlinear Dynamics, 11 (2016).
[51] R. Gheith, F. Aloui, S.B. Nasrallah, Experimental study of a beta Stirling thermal machine type functioning in receiver and engine modes, Journal of Applied Fluid Mechanics, 4, 32-42, (2011).
[52] X. Zhang, Y. Ma, C.-m. Yang, L. Fu, Dynamic analysis and design of the rhombic drive of Stirling engine, Advanced Materials Research, 429, 165-171, (2012).
[53] M.R. Antonio, M. Santillan, On the dynamical vs. thermodynamical performance of a beta type Stirling engine, Physica A, 409, 162-174, (2014).
[54] C.H. Cheng, H.S. Yang, Optimization of rhombic drive mechanism used in beta type Stirling engine based on dimensionless analysis, Energy, 64, 970-978, (2014).
[55] J.L. Salazar, W.-L. Chen, A computational fluid dynamics study on the heat transfer characteristics of the working cycle of a beta type Stirling engine, Energy Conversion and Management, 88, 177-188, (2014).
[56] W.-L. Chen, K.-L. Wong, Y.-F. Chang, A numerical study on the effects of moving regenerator to the performance of a beta type Stirling engine, International Journal of Heat and Mass Transfer, 83, 499-508, (2015).
[57] M.F. Zainudin, R. Abu Bakar, G.L. Ming, T. Ali, B.A. Sup, Thermodynamic cycle evaluation of rhombic drive beta configuration Stirling engine, Energy Procedia, 68, 419-428, (2015).
[58] M. Ni, B. Shi, G. Xiao, H. Peng, U. Sultan, S. Wang, Z. Luo, Improved simple analytical model and experimental study of a 100 W beta type Stirling engine, Applied Energy, 169, 768-787, (2016).
[59] G. Xiao, U. Sultan, M. Ni, H. Peng, X. Zhou, S. Wang, Z. Luo, Design optimization with computational fluid dynamic analysis of beta type Stirling engine, Applied Thermal Engineering, 113, 87-102, (2017).
[60] A. Abuelyamen, R. Ben-Mansour, H. Abualhamayel, E.M.A. Mokheimer, Parametric study on beta type Stirling engine, Energy Conversion and Management, 145, 53-63, (2017).