It is shown that the conditions of ideal heat exchange, according to which at the given heat load and overall heat transfer coefficient the entropy production in the system attains its lower boundary, can be realized in a set of countercurrent heat exchangers on coordinated selection of temperatures and heat capacities of flows. The parameters of flows and the distribution of heat transfer coefficients and heat loads between two-flow heat exchangers for the Newtonian kinetics have been determined. The value of the minimal dissipation and the profile of the distribution of the overall heat transfer coefficient for the case where the temperature profile of one of the flows is fixed have been obtained.
Similar content being viewed by others
References
A. I. Shnip, The theory of thermodynamic systems with internal variables of state: Necessary and sufficient conditions for compliance with the second law of thermodynamics, J. Eng. Phys. Thermophys., 91, No. 1, 1−15 (2018).
S. Kakac, Development of the science of thermodynamics, J. Eng. Phys. Thermophys., 90, No. 4, 807−813 (2017).
B. Andresen, Finite-Time Thermodynamics, University of Copenhagen, Copenhagen (1983).
I. I. Novikov, The efficiency of atomic power station, J. Nucl. Energy, No. 7, 125−128 (1958).
F. L. Curzon and B. Ahlburn, Efficiency of a Carnot engine at maximum power output, Am. J. Phys., 43, 22−24 (1975).
L. I. Rozonoer and A. M. Tsirlin, Optimal control of thermodynamic systems, No. 1, 70−79; No. 2, 88−101; No. 3, 50−64 (1983).
M. Huleihil and B. Andresen, Optimal piston trajectories for adiabatic processes in the presence of friction, J. Appl. Phys., No. 12 (2006).
V. M. Brodjanskiy, V. Fratsher, and K. Mikhalek, Exergy Method and Its Applications, Energoatomizdat, Moscow (1988).
F. Bosnjakovic, Technical Thermodynamics, Holt R & W, New York (1965).
A. M. Tsirlin, Ideal heat exchange systems, J. Eng. Phys. Thermophys., 90, No. 5, 1089−1097 (2017).
A. M. Tsirlin, Optimal control of the irreversible processes of heat and mass transfer, Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 2, 171−179 (1991).
B. Andresen and J. M. Gordon, Optimal heating and cooling strategies for heat exchanger design, J. Appl. Phys., 71, No. 1, 76−79 (1992).
A. M. Tsirlin, V. A. Mironova, S. A. Amelkin, and V. A. Kazakov, Finite-time thermodynamics conditions of minimal dissipation for thermodynamics process with given rate, Phys. Rev. E, 58, No. 1, 215−223 (1998).
R. S. Berry, V. A. Kasakov, S. Sieniutycz, Z. Szwast, and A. M. Tsirlin, Thermodynamic Optimization of Finite Time Processes, Wiley, Chichester (1999).
I. Prigogine, Thermodynamics of Irreversible Processes, 2nd edn., Interscience, New York (1961).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 4, pp. 783–792, July–August, 2020.
Rights and permissions
About this article
Cite this article
Tsirlin, A.M. On Realization of Ideal Multiflow Heat Exchange. J Eng Phys Thermophy 93, 757–765 (2020). https://doi.org/10.1007/s10891-020-02176-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-020-02176-7