Iterative Methods for Looped Network Pipeline Calculation

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 differences in calculations of networks for distribution of these two fluids, i.e. water apropos natural gas are also noted.Dear editor, All your suggestions are now accepted. Sincerely yours, Dejan Brkić, PhDResponse to reviewer's comments Click here to download Response to reviewer's comments: WARM editor. doc 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 Iterative methods for looped network pipeline calculation Dejan BrkićPhD, Ministry of Science and Technological Development, Strumička 88, 11050 Beograd, SerbiaTel. +381642543668, e-mail: dejanrgf@tesla.rcub.bg.ac.rs 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 differences in calculations of networks for distribution of these two fluids, i.e. water apropos natural gas are also noted.Keywords: Pipeline networks, Water distribution system, Natural gas distribution system, Calculation methods, Flow, Hydraulic pipeline systems IntroductionA number of iterative methods for determining the hydraulic solution of water and natural gas pipeline networks which take ring-like form, such as, Hardy Cross, Modified Hardy Cross (including Andrijašev method), Node-Loop method and Modified Node method are compared 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2...