Thermo-mechanical systems with several heat reservoirs: maximum power processes
-
, , , and
Abstract
While endoreversible heat-to-power conversion systems operating between two heat reservoirs have been intensely studied, systems with several reservoirs have attracted little attention. Here we analyse the maximum power processes of such systems with stationary temperature reservoirs. We find that independent of the number of reservoirs the working fluid uses only two isotherms and two infinitely fast isentropes/adiabats. One surprising result is that there may be reservoirs that are never used. This feature is explained for a simple system with three heat reservoirs.
References
1 Rubin, M.H., Optimal configuration of a class of irreversible heat engines, I. Phys. Rev. A, 19 (1979), 1272–1276.10.1103/PhysRevA.19.1272Search in Google Scholar
2 Ondrechen, M.J., Rubin, M.H., Band, Y.B., The generalized Carnot cycle – a working fluid operation in finite-time between finite heat sources and sinks, J. Chem. Phys., 78 (1983), 4721–4727.10.1063/1.445318Search in Google Scholar
3 Homann, K.H., Burzler, J.M., Schubert, S., Endoreversible thermodynamics, J. Non-Equilib. Thermodyn., 22 (1997), 311–355.Search in Google Scholar
4 Bejan, A., Entropy generation minimization: The new thermodynamics of finite-size devices and finite-time processes, J. Appl. Phys., 79 (1996), 1191–1218.10.1063/1.362674Search in Google Scholar
5 Ondrechen, M.J., Andresen, B., Mozurkewich, M., Berry, R.S., Maximum work from a finite reservoir by sequential Carnot cycles, Am. J. Phys., 49 (1981), 681–685.10.1119/1.12426Search in Google Scholar
6 Rubin, M.H., Andresen, B., Optimal staging of endoreversible heat engines, J. Appl. Phys., 53 (1982), 1–7.10.1063/1.331592Search in Google Scholar
7 Chen, J., Yan, Z., Optimal performance of an endoreversible-combined refrigeration cycle, J. Appl. Phys., 63 (1988), 4795–4798.10.1063/1.340470Search in Google Scholar
8 Wu, C., Power performance of a cascade endoreversible cycle. Energy and Conversion Management, 30 (1990), 261–266.10.1016/0196-8904(90)90008-MSearch in Google Scholar
9 Jeong, S., Smith, J.L. Jr, Optimum temperature staging of cryogenic refrigeration system, Cryogenics, 34 (1994), 929–933.10.1016/0011-2275(94)90078-7Search in Google Scholar
10 De Mey, G., De Vos, A., On the optimum efficiency of endoreversible thermodynamic processes, J. Phys. D: Appl. Phys., 27 (1994), 736–739.10.1088/0022-3727/27/4/010Search in Google Scholar
11 Chen, J., Wu, C., Performance of a cascade endo-reversible heat-pump system, J. Inst. Energy, 68 (1995), 137–141.Search in Google Scholar
12 Sahin, B., Kodal, A., Steady-state thermodynamic analysis of a combined Carnot cycle with internal irreversibility, Energy, 20 (1995), 1285–1289.10.1016/0360-5442(95)00076-SSearch in Google Scholar
13 Ibrahim, O.M., Klein, S.A., High-power multistage rankine cycles, J. Energy Resources Technology, 117 (1995), 192–196.10.1115/1.2835340Search in Google Scholar
14 Bejan, A., Theory of heat transfer-irreversible power plants – II. the optimal allocation of heat exchange equipment, Int. J. Heat Mass Transfer, 38 (1995), 433–444.10.1016/0017-9310(94)00184-WSearch in Google Scholar
15 Tsirlin, A.M., Conditions for optimality of the solution of averaged problems of mathematical programming (in Russian), Dokl. Akad. Nauk SSSR, 323 (1992), 43–47.Search in Google Scholar
16 Tsirlin, A.M., Methods of Averaged Optimization and their Applications (in Russian), Nauka-Fizmatlit, 1997.Search in Google Scholar
17 Rozonoer, L.I., Tsirlin, A.M., Optimal control of thermodynamic processes I, Automat. Remote Control, 44 (1983), 55–62. Translated from Avtomatika i Telemekhanika.Search in Google Scholar
18 Rozonoer, L.I., Tsirlin, A.M., Optimal control of thermodynamic processes II, Automat. Remote Control, 44 (1983), 209–220. Translated from Avtomatika i Telemekhanika.Search in Google Scholar
19 Rozonoer, L.I., Tsirlin, A.M., Optimal control of thermodynamic processes III, Automat. Remote Control, 44 (1983), 314–326. Translated from Avtomatika i Telemekhanika.Search in Google Scholar
20 Berry, R.S., Kazakov, V.A., Sieniutycz, S., Szwast, Z., Tsirlin, A.M., Thermodynamic Optimization of Finite-Time Processes, John Wiley & Sons, Chicester, 2000.Search in Google Scholar
Walter de Gruyter GmbH & Co. KG
Articles in the same Issue
- Effects of adsorbed phase on diffusion of subcritical hydrocarbons in activated carbon at low pressures
- The Boussinesq approximation in a rotating frame of reference
- Self-organised marangoni motion at evaporating drops or in capillary menisci – thermohydrodynamical model
- A study of thermodynamic stability of deformation in visco-elastic fluids by Lyapunov function analysis
- Thermo-mechanical systems with several heat reservoirs: maximum power processes
- Thermodynamic relationship between creep crack growth and creep deformation
Articles in the same Issue
- Effects of adsorbed phase on diffusion of subcritical hydrocarbons in activated carbon at low pressures
- The Boussinesq approximation in a rotating frame of reference
- Self-organised marangoni motion at evaporating drops or in capillary menisci – thermohydrodynamical model
- A study of thermodynamic stability of deformation in visco-elastic fluids by Lyapunov function analysis
- Thermo-mechanical systems with several heat reservoirs: maximum power processes
- Thermodynamic relationship between creep crack growth and creep deformation