THERMAL SCIENCE

International Scientific Journal

WORK OUTPUT AND EFFICIENCY OF A REVERSIBLE QUANTUM OTTO CYCLE

ABSTRACT
An idealized reversible Otto cycle working with a single quantum mechanical particle contained in a potential well is investigated based on the Schrödinger equation in this paper. The model of a reversible quantum Otto cycle, which consists of two reversible adiabatic and two constant-well widen branches, is established. As an example, we calculate a particularly simple case in which only two of the eigenstates of the potential well contribute to the wave-function in the well. The relationship between the optimal dimensionless work output W
KEYWORDS
PAPER SUBMITTED: 2009-11-11
PAPER REVISED: 2009-12-12
PAPER ACCEPTED: 2010-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI1004879W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2010, VOLUME 14, ISSUE 4, PAGES [879 - 886]
REFERENCES
  1. Geva, E., Kosloff, R., On the Classical Limit of Quantum Thermodynamics in Finite Time, J. Chem. Phys., 97 (1992), 6 pp. 4393-4412
  2. Geva, E., Kosloff, R., Three-Level Quantum Amplifier as a Heat Engine: A Study in Finite-Time Thermodynamics, Phys. Rev. E., 49 (1994), 5, pp. 3903-3918
  3. Chen, J., Lin, B., Hua, B., The Performance Analysis of a Quantum Heat Engine Working with Spin Systems, J. Phys. D: Appl Phys, 35 (2002), 10, pp. 2051-2065
  4. Feldmann, T., Geva, E., Kosloff, R., Heat Engines in Finite Time Governed by Master Equations, Am. J. Phys., 64 (1996), 4, pp. 485-492
  5. Wu, F., et al., Performance and Optimization Criteria for Forward and Reverse Quantum Stirling Cycles, Energy Convers Manage, 39 (1998), 8, pp. 733-739
  6. Feldmann, T., Kosloff, R., Performance of Discrete Heat Engines and Heat Pumps in Finite Time, Phys. Rev. E, 61 (2000), 5, pp. 4774-4790
  7. Wu, F., et al., Finite-Time Exergoeconomic Performance Bound for a Quantum Stirling Engine, Int. J. Eng. Sci., 38 (2000), 2, pp. 239-247
  8. Feldmann, T., Kosloff, R., Quantum Four-Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction, Phys. Rev. E, 68 (2003), 5, pp. 016101
  9. Lin, B., Chen, J., Optimal Analysis of the Performance of an Irreversible Quantum Heat Engine with Spin Systems, J. Phys. A: Math Gen, 38 (2005), 1, pp. 69-79
  10. He, J., Xin, Y., He, X., Performance Optimization of Quantum Brayton Refrigeration Cycle Working with Spin System, Applied Energy, 84 (2007), 2, pp. 176-186
  11. Wang, J., He, J., Xin, Y., Performance Analysis of a Spin Quantum Heat Engine Cycle with Internal Friction, Physica Scripta, 75 (2007), 2, pp. 227-234
  12. Quan, H. T., et al., Quantum Thermodynamic Cycles and Quantum Heat Engines, Phys. Rev. E, 76 (2007), 3, pp. 031105
  13. Kim, I., Mahler, G., The Second Law of Thermodynamics in the Quantum Brownian Oscillator at an Arbitrary Temperature, Eur. Phys. J. B, 60 (2007), 3, pp. 401-408
  14. Allahverdyan, A. E, Johal, R. S., Mahler, G., Work Extremum Principle: Structure and Function of Quantum Heat Engines, Phys. Rev. E, 77 (2008), 4, pp. 041118
  15. Arnaud, J., Chusseau, L., Philippe, F., Mechanical Equivalent of Quantum Heat Engines, Physical Review E, 77 (2008), 6, pp. 061102
  16. Wang, H., Liu, S., He, J., Optimum Criteria of an Irreversible Quantum Brayton Refrigeration Cycle with an Ideal Bose Gas, Physica B: Condensed Matter, 403 (2008), 21-22, pp. 3867-3878
  17. Tien, D., Kieu, The Second Law, Maxwell's Demon, and Work Derivable from Quantum Heat Engines, Physical Review Letters, 93 (2004), 14, pp. 140403
  18. Bender, C. M., Brody, D. C., Meister, B. K., Quantum Mechanical Car not Engine, J. Phys. A: Math. Gen., 33 (2000), 24, pp. 4427-4436
  19. Wu, F., et al., Performance of an Irreversible Quantum Ericsson Cooler at low Temperature Limit, Journal of Physics D: Applied Physics, 39 (2006), 21, pp. 4731- 4737
  20. Wu, F., et al., Performance of an Irreversible Quantum Car not Engine with Spin-1/2, Journal of Chem i cal Physics, 124 (2006), 21, pp. 4702-4708
  21. Sisman, A., Saygin, H., Efficiency Analysis of a Stirling Power Cycle Under Quantum Degeneracy Conditions, Phys. Scr., 63 (2001), 4, pp. 263-267
  22. Wu, F., Chen, L., Wu, S., Quantum Degeneracy Effect on Performance of Irreversible Otto Cycle with Ideal Bose Gas, Energy Conversion and Management, 47 (2006), 18-19, pp. 3008-3018
  23. Sisman, A., Saygin, H., Re-Optimization of Otto Power Cycles Working with Ideal Quantum Gases, Phys. Scripta, 64 (2001), 2, pp. 108-1012
  24. Wu, F., Chen, L., Wu, S., Ecological Optimization Performance of an Irreversible Quantum Otto Cycle Working with an Ideal Fermi Gas, Open System and Information Dynamics, 13 (2006), 1, pp. 55-66
  25. Wu, F., Chen, L., Wu, S., Optimization Criteria for an Irreversible Quantum Brayton Engine with an Ideal Bose Gas, Journal of Applied Physics, 99 (2006), 5, pp. 54904-54909
  26. Chen, J., He, J., Hua, B., The Influence of Regenerative Losses on the Performance of a Femi Ericsson Refrigeration Cycle, J. Phys. A: Math. Gen., 35 (2002), 38, pp. 7995-8004
  27. Ge, Y., et al., The Effects of Variable Specific Heats of Working Fluid on the Performance of an Irreversible Otto Cycle, Int. J. Exergy, 2 (2005), 3, pp. 274-283
  28. Chen, L., Heat Transfer Effects on the Net Work Output and Efficiency Characteristics for an Air Standard Otto Cycle, Energy Convers Manage, 39 (1998), 7, pp. 643-648
  29. Wu, C., Blank, D. A., The Effects of Combustion on a Work Optimized Endoreversible Otto Cycle, J. Inst. Energy, 65 (1992), 1, pp. 86-89
  30. Messiah, A., Quantum Mechanics, Dover Publications, New York, USA, 1999

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence