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On using the minimum energy dissipation to estimate the steady-state of a flow network and discussion about the resulting power-law:application to tree-shaped networks in HVAC systems

Author

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  • Soto-Francés, Víctor-Manuel
  • Pinazo-Ojer, José-Manuel
  • Sarabia-Escrivá, Emilio-José
  • Martínez-Beltrán, Pedro-Juan

Abstract

The paper analyses how to compute the steady-state flow distribution through a given network by using the Minimum Entropy Production (MinEP) principle. For isothermal and incompressible flows, this is equivalent to the minimal dissipation of energy. The conditions that make this method equivalent to the conventional one are studied. There must exist a power-law for the energy dissipation (entropy generation) where the exponent must be the same for the whole network. To our knowledge, Niven was the first to get to this result. However he applied MinEP only to parallel pipes and unfortunately discarded it as a general method.

Suggested Citation

  • Soto-Francés, Víctor-Manuel & Pinazo-Ojer, José-Manuel & Sarabia-Escrivá, Emilio-José & Martínez-Beltrán, Pedro-Juan, 2019. "On using the minimum energy dissipation to estimate the steady-state of a flow network and discussion about the resulting power-law:application to tree-shaped networks in HVAC systems," Energy, Elsevier, vol. 172(C), pages 181-195.
    • Handle: RePEc:eee:energy:v:172:y:2019:i:c:p:181-195
    DOI: 10.1016/j.energy.2019.01.060
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    References listed on IDEAS

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    1. Wenterodt, Tammo & Redecker, Christoph & Herwig, Heinz, 2015. "Second law analysis for sustainable heat and energy transfer: The entropic potential concept," Applied Energy, Elsevier, vol. 139(C), pages 376-383.
    2. Dejan Brkić, 2011. "Iterative Methods for Looped Network Pipeline Calculation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(12), pages 2951-2987, September.
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