Abstract
The region of physical feasibility of heat exchange systems in the space of their thermodynamic indicators (heat load, dissipation, and thermal conductivity) is constructed in this work. Criteria of thermodynamic perfection for typical two-flow cells are calculated. A condition of thermodynamic equivalence of heat exchange systems is given, and an algorithm for constructing a multiflow system equivalent to a two-flow heat exchanger is proposed. The cases of variable heat capacity, change of the phase state, and different flow hydrodynamics are considered. The constraints on the temperatures of all or some of the flows at the inlet and outlet of the heat exchange system are taken into account. The synthesis involves the choice of the structure of contacts, the values of free parameters of flows, and the distribution of contact areas and heat loads between two-flow heat exchange cells.
REFERENCES
Ostrovskii, G.M., Ziyatdinov, N.N., and Emel’yanov, I.I., Synthesis of optimal systems of simple distillation columns with heat recovery, Dokl. Chem., 2015, vol. 461, no. 1, pp. 89–92. https://doi.org/10.1134/S0012500815030052
Ziyatdinov, N.N., Ostrovskii, G.M., and Emel’yanov, I.I., Designing a heat exchange system upon the reconstruction and synthesis of optimal systems of distillation columns, Theor. Found. Chem. Eng., 2016, vol. 50, no. 2, pp. 178–187. https://doi.org/10.1134/S0040579516020147
Kafarov, V.V., Meshalkin, V.P., and Perov, V.L., Matematicheskie osnovy avtomatizirovannogo proektirovaniya khimicheskikh proizvodstv (Mathematical Foundations of Computer-aided Design of Chemical Plants), Moscow: Khimiya, 1979.
Brodyanskii, V.M., Fratsher, V., and Mikhalek, K., Eksergeticheskii metod i ego prilozheniya (The Exergy Method and its Applications), Moscow: Energoatomizdat, 1988.
Berry, R.S., Kazakov, V.A., Sieniutycz, S., Szwast, Z., and Tsirlin, A.M., Thermodynamic. Optimization of Finite-Time Processes, Chichester: Wiley, 1999.
Tsirlin, A.M., Mironova, V.A., Amelkin, S.A., and Kazakov, V.A., Finite-time thermodynamics: Conditions of minimal dissipation for thermodynamic processes with given rate, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 1998, vol. 58, no. 1, pp. 215–223. https://doi.org/10.1103/PhysRevE.58.215
Tsirlin, A.M., Optimal control of the irreversible processes of heat and mass transfer, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1991, no. 2, pp. 171–179.
Andresen, B. and Gordon, J.M., Optimal heating and cooling strategies for heat exchangers design, J. Appl. Phys., 1992, vol. 71, no. 1, pp. 1, pp. 76–79.
Salamon, P., Nitzan, A., Andresen, B., and Berry, R.S., Minimum entropy production and the optimization of heat engines, Phys. Rev. A, 1980, vol. 21, no. 6, pp. 2115–2129. https://doi.org/10.1103/PhysRevA.21.2115
Tsirlin, A.M., Akhremenkov, A.A., and Grigorevskii, I.N., Minimal irreversibility and optimal distributions of heat transfer surface area and heat load in heat transfer systems, Theor, Found. Chem. Eng., 2008, vol. 42, no. 2, pp. 203–210. https://doi.org/10.1134/S0040579508020139
Tsirlin, A.M., Ideal heat exchange systems, J. Eng. Phys. Thermophys., 2017, vol. 90, no. 5, pp. 1035–1042.
Kondepudi, D. and Prigogine, I., Modern Thermodunamiks, Chichester:.Wiley, 1999.
Tsirlin, A.M. and Akhremenkov, A.A., Optimal heat transfer during the change of phase state of a refrigerating medium, Theor. Found. Chem. Eng., 2018, vol. 52, no. 5, pp. 812–818. https://doi.org/10.1134/S0040579518050408
Heat Exchanger Design Handbook, Schltinder, E.U., Ed., Washington: Hemisphere Publishing, 1983.
Kafarov, V.V., Meshalkin, V.P., and Perov, V.L., Matematicheskie osnovy avtomatizirovannogo proektirovaniya khimicheskikh proizvodstv (Mathematical Foundations of Computer-aided Design of Chemical Plants), Moscow: Khimiya, 1979.
Mironova, V.A., Amel’kin, S.A., and Tsirlin, A.M., Matematicheskie metody termodinamiki pri konechnom vremeni (Mathematical Methods of Thermodynamics at a Finite Time), Moscow: Khimiya, 2000.
Tsirlin, A.M., Metody optimizatsii v neobratimoi termodinamike i mikroekonomike (Methods of Optimization in Irreversible Thermodynamics and Microeconomics), Moscow: Fizmatlit, 2003.
Tsirlin, A.M., Optimal control of irreversible heat and mass transfer, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1991, no. 2, pp. 81–86.
Bosnjakovic, F., Technical Thermodynamics, New York: Holt Rinehart, 1965.
Tsirlin, A.M., Ideal heat exchange systems, J. Eng. Phys. Thermophys., 2017, vol. 90, no. 5, pp. 1035–1042.
Tsirlin, A.M. and Vasil’ev, A.V., Thermodynamic entropy balances in perfect mixing apparatuses, J. Eng. Phys. Thermophys., 2023, vol. 96, no. 2, pp. 534–541. https://doi.org/10.1007/s10891-023-02714-z2023
Linnhoff, B. and Hindmarsh, E., The pinch design method for heat exchanger networks, Chem. Eng. Sci., 1983, vol. 38, no. 5, pp. 745–763. https://doi.org/10.1016/0009-2509(83)80185-7
Smith, R., Chemical Process Design and Integration, Chichester: Wiley, 2005.
Kemp, I.C., Pinch Analysis and Process Integration: A User Guide on Process Integration for the Efficient Use of Energy, Amsterdam: Elsevier, 2007.
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This work was supported by the Russian Science Foundation (project no. 20-61-46013).
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Tsirlin, A.M. Physical Feasibility and Synthesis of Heat Exchange Systems According to Thermodynamic Parameters. Theor Found Chem Eng 57, 524–536 (2023). https://doi.org/10.1134/S0040579523040474
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DOI: https://doi.org/10.1134/S0040579523040474