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Iterative Methods for Looped Network Pipeline Calculation

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  • Dejan Brkić

Abstract

Since the value of the hydraulic resistance depends on flow rate, problem of flow distribution per pipes in a gas or water distributive looped pipelines has to be solved using iterative procedure. A number of iterative methods for determining of hydraulic solution of pipeline networks, such as, Hardy Cross, Modified Hardy Cross, Node-Loop method, Modified Node method and M.M. Andrijašev method are shown in this paper. Convergence properties are compared and discussed using a simple network with three loops. In a municipal gas pipeline, natural gas can be treated as incompressible fluid. Even under this circumstance, calculation of water pipelines cannot be literary copied and applied for calculation of gas pipelines. Some diferences in calculations of networks for distribution of these two fluids, i.e. water apropos natural gas are also noted. Copyright Springer Science+Business Media B.V. 2011

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:12:p:2951-2987
    DOI: 10.1007/s11269-011-9784-3
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    References listed on IDEAS

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    1. Shanmugam Kumar & Shankar Narasimhan & S. Murty Bhallamudi, 2010. "Parameter Estimation in Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(6), pages 1251-1272, April.
    2. Önder Ekinci & Haluk Konak, 2009. "An Optimization Strategy for Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(1), pages 169-185, January.
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    1. Dejan Brkić & Pavel Praks, 2018. "Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function," Mathematics, MDPI, vol. 7(1), pages 1-15, December.
    2. 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.
    3. Zahreddine Hafsi & Sami Elaoud & Manoranjan Mishra & Mohsen Akrout, 2018. "Automated Framework for Water Looped Network Equilibrium," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(2), pages 641-657, January.
    4. Calvin Siew & Tiku Tanyimboh, 2012. "Penalty-Free Feasibility Boundary Convergent Multi-Objective Evolutionary Algorithm for the Optimization of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(15), pages 4485-4507, December.
    5. Pavel Praks & Dejan Brkić, 2018. "One-Log Call Iterative Solution of the Colebrook Equation for Flow Friction Based on Padé Polynomials," Energies, MDPI, vol. 11(7), pages 1-12, July.
    6. Vadim Fetisov & Aleksey V. Shalygin & Svetlana A. Modestova & Vladimir K. Tyan & Changjin Shao, 2022. "Development of a Numerical Method for Calculating a Gas Supply System during a Period of Change in Thermal Loads," Energies, MDPI, vol. 16(1), pages 1-16, December.
    7. Asai, Pranay & Podgorney, Robert & McLennan, John & Deo, Milind & Moore, Joseph, 2022. "Analytical model for fluid flow distribution in an Enhanced Geothermal Systems (EGS)," Renewable Energy, Elsevier, vol. 193(C), pages 821-831.
    8. Yan, Aibin & Zhao, Jun & An, Qingsong & Zhao, Yulong & Li, Hailong & Huang, Yrjö Jun, 2013. "Hydraulic performance of a new district heating systems with distributed variable speed pumps," Applied Energy, Elsevier, vol. 112(C), pages 876-885.
    9. Pellegrino, Sandro & Lanzini, Andrea & Leone, Pierluigi, 2017. "Greening the gas network – The need for modelling the distributed injection of alternative fuels," Renewable and Sustainable Energy Reviews, Elsevier, vol. 70(C), pages 266-286.
    10. Nikolay Novitsky & Egor Mikhailovsky, 2021. "Generalization of Methods for Calculating Steady-State Flow Distribution in Pipeline Networks for Non-Conventional Flow Models," Mathematics, MDPI, vol. 9(8), pages 1-16, April.

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