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Numerical Method for Calculation of Unsteady Fluid Flow Regimes in Hydraulic Networks of Complex Structure

In: Mathematical Analysis in Interdisciplinary Research

Author

Listed:
  • K. R. Aida-zade

    (Institute of Control Systems of Azerbaijan National Academy)

  • Y. R. Ashrafova

    (Institute of Control Systems of Azerbaijan National Academy
    Baku State University)

Abstract

The problem of calculating flow regimes of transient processes in complex hydraulic networks with loops is considered in the chapter. Fluid flow in each linear segment of pipeline network is described by a system of two linear partial differential equations of the first order. Non-separated boundary conditions are satisfied at the nodes of the network. These conditions are determined by the first Kirchhoff’s law and by the continuity of flow. The scheme of numerical solution to the problem based on the application of grid method is suggested. The formulas analogous to the formulas of sweep method are derived. The obtained formulas are independent of the number of nodes, segments, and structure of the pipeline network. Numerical experiments are carried out with the use of the suggested approach, and the obtained results are analyzed.

Suggested Citation

  • K. R. Aida-zade & Y. R. Ashrafova, 2021. "Numerical Method for Calculation of Unsteady Fluid Flow Regimes in Hydraulic Networks of Complex Structure," Springer Optimization and Its Applications, in: Ioannis N. Parasidis & Efthimios Providas & Themistocles M. Rassias (ed.), Mathematical Analysis in Interdisciplinary Research, pages 69-84, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-84721-0_5
    DOI: 10.1007/978-3-030-84721-0_5
    as

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