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Equipartition of entropy production as an approximation to the state of minimum entropy production in diabatic distillation

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  • Johannessen, Eivind
  • Røsjorde, Audun

Abstract

We show that the theorem of equipartition of entropy production is important for the understanding of the state of minimum entropy production in diabatic distillation. The theorem is not valid in a strictly mathematical sense. We explain why, when and in what sense this theorem is a good approximation to the optimal state in diabatic distillation. In order to make these predictions, we use a hypothesis for the state of minimum entropy production of an optimally controlled system, which was formulated on the basis of results of entropy production minimisation in chemical reactors. The hypothesis says that the state of minimum entropy production is characterised by approximately constant local entropy production and thermodynamic forces, given that there is sufficient freedom in the system. We present numerical results which are in agreement with the predictions. The results show that a column with constant tray entropy production in the stripping section and in the rectifying section is a good approximation to the optimal column, except when the total heat transfer area is low. The agreement between the two columns becomes better and better as the total heat transfer area and the number of trays increase. The fact that the predictions and the numerical results agree very well gives support to the validity of the hypothesis.

Suggested Citation

  • Johannessen, Eivind & Røsjorde, Audun, 2007. "Equipartition of entropy production as an approximation to the state of minimum entropy production in diabatic distillation," Energy, Elsevier, vol. 32(4), pages 467-473.
    • Handle: RePEc:eee:energy:v:32:y:2007:i:4:p:467-473
    DOI: 10.1016/j.energy.2006.06.009
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    References listed on IDEAS

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    1. de Koeijer, Gelein & Røsjorde, Audun & Kjelstrup, Signe, 2004. "Distribution of heat exchange in optimum diabatic distillation columns," Energy, Elsevier, vol. 29(12), pages 2425-2440.
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    Cited by:

    1. Arikoglu, Aytac & Ozkol, Ibrahim & Komurgoz, Guven, 2008. "Effect of slip on entropy generation in a single rotating disk in MHD flow," Applied Energy, Elsevier, vol. 85(12), pages 1225-1236, December.
    2. Nguyen, Nghi & Demirel, Yaşar, 2010. "Retrofit of distillation columns in biodiesel production plants," Energy, Elsevier, vol. 35(4), pages 1625-1632.
    3. Nguyen, Tuong-Van & Voldsund, Mari & Elmegaard, Brian & Ertesvåg, Ivar Ståle & Kjelstrup, Signe, 2014. "On the definition of exergy efficiencies for petroleum systems: Application to offshore oil and gas processing," Energy, Elsevier, vol. 73(C), pages 264-281.
    4. Blahušiak, M. & Kiss, A.A. & Kersten, S.R.A. & Schuur, B., 2016. "Quick assessment of binary distillation efficiency using a heat engine perspective," Energy, Elsevier, vol. 116(P1), pages 20-31.
    5. Alcántara-Avila, J.Rafael & Sotowa, Ken-Ichiro & Horikawa, Toshihide, 2015. "Entropy production and economic analysis in diabatic distillation columns with heat exchangers in series," Energy, Elsevier, vol. 93(P2), pages 1719-1730.
    6. Kim, Young Han, 2014. "Application of partially diabatic divided wall column to floating liquefied natural gas plant," Energy, Elsevier, vol. 70(C), pages 435-443.

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