IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v29y2004i12p2403-2423.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544204001100
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2004.03.033?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:29:y:2004:i:12:p:2403-2423. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.