Abstract
Developing new technologies like nano-technology improves the performance of the energy industries. Consequently, emerging new groups of thermal cycles in nano-scale can revolutionize the energy systems’ future. This paper presents a thermo-dynamical study of a nano-scale irreversible Stirling engine cycle with the aim of optimizing the performance of the Stirling engine cycle. In the Stirling engine cycle the working fluid is an Ideal Maxwell-Boltzmann gas. Moreover, two different strategies are proposed for a multi-objective optimization issue, and the outcomes of each strategy are evaluated separately. The first strategy is proposed to maximize the ecological coefficient of performance (ECOP), the dimensionless ecological function (ecf) and the dimensionless thermo-economic objective function (F . Furthermore, the second strategy is suggested to maximize the thermal efficiency (η), the dimensionless ecological function (ecf) and the dimensionless thermo-economic objective function (F). All the strategies in the present work are executed via a multi-objective evolutionary algorithms based on NSGA∥ method. Finally, to achieve the final answer in each strategy, three well-known decision makers are executed. Lastly, deviations of the outcomes gained in each strategy and each decision maker are evaluated separately.
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References
P. Chambadal, Les Centrales Nuclearies (Armand Colin, Paris, 1957) pp. 41--58.
I.I. Novikov, At. Energ. 3, 409 (1957) (English translation J. Nucl. Energy II 7.
F.L. Curzon, B. Ahlborn, Am. J. Phys. 43, 22 (1975).
A. Bejan, J. Appl. Phys. 79, 1191 (1996).
L. Chen, C. Wu, F. Sun, J. Non-Equilibr. Thermodyn. 24, 327 (1999).
A. Durmayaz, O.S. Sogut, B. Sahin, H. Yavuz, Prog. Energy Combust. Sci. 30, 175 (2004).
Mohammad H. Ahmadi, Hoseyn Sayyaadi, Hadi Hosseinzadeh, Heat Transfer - Asian Res. 44, 347 (2015).
B. Sahin, A. Kodal, Energy Convers. Manag. 42, 1085 (2001).
A. Kodal, B. Sahin, Int. J. Therm. Sci. 42, 777 (2003).
M.A. Barranco-Jiménez, F. Angulo-Brown, J. Energy Inst. 80, 96 (2007).
B. Sahin, Y. Ust, T. Yilmaz, I.H. Akcay, Renew. Energy 31, 1033 (2006).
A. DeVos, Energy Convers. Manag. 36, 1 (1995).
L. Yaqi et al., Renew. Energy 36, 421 (2011).
I. Tlili, Renew. Sustain Energy Rev. 16, 2234 (2012).
S.C. Kaushik, S. Kumar, Energy Convers. Manag. 42, 295 (2001).
S.C. Kaushik, S. Kumar, Energy 25, 989 (2000).
A. Sharma, S.K. Shukla, A.K. Rai, Thermal Sci. 15, 995 (2011).
D.A. Blank, G.W. Davis, C. Wu, Energy 19, 125 (1994).
Altuğ Sişman, Hasan Saygin, Appl. Energy 68, 367 (2001).
Hasan Saygin, Altuğ Sişman, J. Appl. Phys. 90, 3086 (2001).
Hasan Saygin, Altuğ Sişman, Appl. Energy 69, 77 (2001).
Jizhou He, Jincan Chen, Ben Hua, Appl. Energy 72, 541 (2002).
Bihong Lin, Yue Zhang, Jincan Chen, Appl. Energy 83, 513 (2006).
A. Sişman, H. Saygin, Phys. Scr. 63, 263 (2001).
Eitan Geva, Ronnie Kosloff, J. Chem. Phys. 96, 3054 (1992).
E. Geva, R. Kosloff, Phys. Rev. E 49, 3903 (1994).
T. Feldmann, E. Geva, R. Kosloff, P. Salamon, Am. J. Phys. 64, 485 (1996).
F. Wu, L. Chen, F. Sun, C. Wu, P. Hua, Energy Convers. Manag. 39, 1161 (1998).
Feng Wu et al., Int. J. Engin. Sci. 38, 239 (2000).
J. He, J. Chen, B. Hua, Phys. Rev. E 65, 036145 (2002).
M. Reith, Nano-Engineering in Science and Technology (World Scientific, New Jersey, 2003).
James L. Wilbur, George M. Whitesides, in Nanotechnology (Springer, New York, 1999) pp. 331-369.
J.M. Saleh, Fluid Flow Handbook (McGraw-Hill, New York, 2002).
A. Sisman, I. Muller, Phys. Lett. A 320, 360 (2004).
A. Sisman, J. Phys. A: Math. Gen. 37, 11353 (2004).
A. Sisman, Z.F. Ozturk, C. Firat, Phys. Lett. A 362, 16 (2007).
H. Pang, W.S. Dai, M. Xie, J. Phys. A: Math. Gen. 39, 2563 (2006).
R.M. Ziff, G.E. Uhlenbeck, M. Kac, Phys. Rep. 32, 169 (1977).
W.S. Dai, M. Xie, Phys. Lett. A 311, 340 (2003).
W. Nie, J. He, Phys. Lett. A 372, 1168 (2008).
W. Nie, J. He, X. He, J. Appl. Phys. 103, 114909 (2008).
Emin Açikkalp, Necmettin Caner, Eur. Phys. J. Plus 130, 93 (2015).
Emin Açikkalp, Necmettin Caner, Eur. Phys. J. Plus 130, 73 (2015).
Emin Açikkalp, Necmettin Caner, Phys. Lett. A 379, 1990 (2015).
T. Özyer, M. Zhang, R. Alhajj, Appl. Intell. 35, 110 (2011).
O. Beatrice, J.R. Brian, H. Franklin, Appl. Intell. 24, 17 (2006).
I. Blecic, A. Cecchini, G. Trunfio, Appl. Intell. 26, 125 (2007).
D.A.V. Veldhuizen, G.B. Lamont, Evol. Comput. 8, 125 (2000).
A. Konak, D.W. Coit, A.E. Smith, Reliability Engin. Amp. System Safety 91, 992 (2006).
M.H. Ahmadi, H. Hosseinzade, H. Sayyaadi, A.H. Mohammadi, F. Kimiaghalam, Renew. Energy 60, 313 (2013).
M.H. Ahmadi, H. Sayyaadi, A.H. Mohammadi, Marco A. Barranco-Jimenez, Energy Convers. Manag. 73, 370 (2013).
M.H. Ahmadi, H. Sayyaadi, S. Dehghani, H. Hosseinzade, Energy Convers. Manag. 75, 282 (2013).
M.H. Ahmadi, S. Dehghani, A.H. Mohammadi, M. Feidt, Marco A. Barranco-Jimenez, Energy Convers. Manag. 75, 635 (2013).
M.H. Ahmadi, M.A. Ahmadi, R. Bayat, M. Ashouri, M. Feidt, Energy Convers. Manag. 91, 315 (2015).
A. Lazzaretto, A. Toffolo, Energy 29, 1139 (2004).
S. Toghyani, A. Kasaeian, M.H. Ahmadi, Energy Convers. Manag. 80, 54 (2014).
A. Toffolo, A. Lazzaretto, Energy 27, 549 (2002).
M.H. Ahmadi, A.H. Mohammadi, S. Dehghani, Energy Convers. Manag. 76, 561 (2013).
Mohammad H. Ahmadi, Mohammad Ali Ahmadi, Amir H. Mohammadi, Michel Feidt, Seyed Mohsen Pourkiaei, Energy Convers. Manag. 82, 351 (2014).
M.H. Ahmadi, M.A. Ahmadi, A.H. Mohammadi, M. Mehrpooya, M. Feidt, Energy Convers. Manag. 80, 319 (2014).
M.H. Ahmadi, A.H. Mohammadi, S. Dehghani, Marco A. Barranco-Jimenez, Energy Convers. Manag. 75, 438 (2013).
M.H. Ahmadi, A.H. Mohammadi, S.M. Pourkiaei, Int. J. Ambient Energy (2014) DOI:10.1080/01430750.2014.907211.
Hoseyn Sayyaadi, Mohammad Hossein Ahmadi, Saeed Dehghani, J. Energy Eng. 141, 04014012 (2014) DOI:10.1061/(ASCE)EY.1943-7897.0000191.
H. Sahraie, M.R. Mirani, M.H. Ahmadi, M. Ashouri, Energy Convers. Manag. 99, 81 (2015).
M.H. Ahmadi, M.A. Ahmadi, M. Mehrpooya, H. Hosseinzade, M. Feidt, Energy Convers. Manag. 88, 1051 (2014).
M.H. Ahmadi, M.A. Ahmadi, Energy Convers. Manag. 89, 147 (2015).
M.H. Ahmadi, M.A. Ahmadi, M. Mehrpooya, M. Sameti, Energy Convers. Manag. 90, 175 (2015).
M.H. Ahmadi, M.A. Ahmadi, M. Feidt, Oil Gas Sci. Technol. -- Rev. IFP Energies nouvelles http://dx.doi.org/10.2516/ogst/2014028 (2014).
M.H. Ahmadi, M.A. Ahmadi, M. Feidt, Mech. Industry 16, 207 (2015).
S.A. Sadatsakkak, M.H. Ahmadi, M.A. Ahmadi, Energy Convers. Manag. 94, 124 (2015).
Seyed Abbas Sadatsakkak et al., Energy Convers. Manag. 93, 31 (2015).
Mohammad H. Ahmadi, Mohammad Ali Ahmadi, Seyed Abbas Sadatsakkak, Renew. Sustai. Energy Rev. 51, 1055 (2015).
Wenjie Nie, Jizhou He, Jianqiang Du, Physica A 388, 318 (2009).
Emin Açikkalp, Physica A 436, 311 (2015).
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Ahmadi, M.H., Ahmadi, MA. & Pourfayaz, F. Performance assessment and optimization of an irreversible nano-scale Stirling engine cycle operating with Maxwell-Boltzmann gas. Eur. Phys. J. Plus 130, 190 (2015). https://doi.org/10.1140/epjp/i2015-15190-5
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DOI: https://doi.org/10.1140/epjp/i2015-15190-5