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Minimum entropy production rate in plug flow reactors: An optimal control problem solved for SO2 oxidation

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  • Johannessen, Eivind
  • Kjelstrup, Signe

Abstract

We present a way to minimize the entropy production rate in plug flow reactors using optimal control theory, a well known branch of optimization theory. A general formulation is first presented for a plug flow reactor with several reactions, when the temperature of the cooling/heating medium is the control variable. The Hamiltonian of the optimal control problem is constant. We present some solutions of the optimization problem for SO2 oxidation. It is shown that reductions in the entropy production rate up to 25% can be achieved by varying the reactor length and controlling the utility. Furthermore, the results shed light on properties of the optimal states. An hypothesis is proposed that a reactor with high energy efficiency has relatively long sections with almost constant driving forces and entropy production rate.

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  • Johannessen, Eivind & Kjelstrup, Signe, 2004. "Minimum entropy production rate in plug flow reactors: An optimal control problem solved for SO2 oxidation," Energy, Elsevier, vol. 29(12), pages 2403-2423.
    • Handle: RePEc:eee:energy:v:29:y:2004:i:12:p:2403-2423
    DOI: 10.1016/j.energy.2004.03.033
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    Cited by:

    1. Xia, Shaojun & Chen, Lingen & Sun, Fengrui, 2011. "Power-optimization of non-ideal energy converters under generalized convective heat transfer law via Hamilton-Jacobi-Bellman theory," Energy, Elsevier, vol. 36(1), pages 633-646.
    2. Wang, Chao & Chen, Lingen & Xia, Shaojun & Sun, Fengrui, 2016. "Maximum production rate optimization for sulphuric acid decomposition process in tubular plug-flow reactor," Energy, Elsevier, vol. 99(C), pages 152-158.
    3. Kaluri, Ram Satish & Basak, Tanmay, 2011. "Entropy generation due to natural convection in discretely heated porous square cavities," Energy, Elsevier, vol. 36(8), pages 5065-5080.
    4. Flórez-Orrego, Daniel & de Oliveira Junior, Silvio, 2017. "Exergy assessment of single and dual pressure industrial ammonia synthesis units," Energy, Elsevier, vol. 141(C), pages 2540-2558.
    5. Sciacovelli, A. & Verda, V. & Sciubba, E., 2015. "Entropy generation analysis as a design tool—A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 1167-1181.
    6. van der Ham, L.V. & Gross, J. & Kjelstrup, S., 2011. "Two performance indicators for the characterization of the entropy production in a process unit," Energy, Elsevier, vol. 36(6), pages 3727-3732.
    7. Chen, Lingen & Zhang, Lei & Xia, Shaojun & Sun, Fengrui, 2018. "Entropy generation minimization for CO2 hydrogenation to light olefins," Energy, Elsevier, vol. 147(C), pages 187-196.
    8. Røsjorde, A. & Kjelstrup, S. & Johannessen, E. & Hansen, R., 2007. "Minimizing the entropy production in a chemical process for dehydrogenation of propane," Energy, Elsevier, vol. 32(4), pages 335-343.

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