Iterative Methods for Looped Network Pipeline Calculation

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.

[1]  Wei Chen,et al.  Water Distribution Network Analysis Using Excel , 2004 .

[2]  C George Segeler Gas Engineers Handbook , 1965 .

[3]  A. M. Karasevich,et al.  Investigation of the Hydraulic Resistance in Polyethylene Pipelines , 2005 .

[4]  Uri Shamir,et al.  Water Distribution Systems Analysis , 1968 .

[5]  Arnaud G. Malan,et al.  A flow network formulation for compressible and incompressible flow , 2008 .

[6]  T. D. Lin,et al.  Comparison of modified newton's methods , 1980 .

[7]  P. Middleton The solution of pipe network problems , 1971 .

[8]  Haluk Konak,et al.  An Optimization Strategy for Water Distribution Networks , 2009 .

[9]  Y.-J. Wang,et al.  Computer solution of three-dimensional mine ventilation networks with multiple fans and natural ventilation , 1967 .

[10]  R. Epp,et al.  Efficient Code for Steady-State Flows in Networks , 1971 .

[11]  Richard S.H. Mah Pipeline network calculations using sparse computation techniques , 1974 .

[12]  E. H. Mathews,et al.  A numerical optimization procedure for complex pipe and duct network design , 1995 .

[13]  Don J. Wood,et al.  Reliability of Algorithms for Pipe Network Analysis , 1981 .

[14]  Shankar Narasimhan,et al.  Parameter Estimation in Water Distribution Networks , 2010 .

[15]  A. Brameller,et al.  Hybrid method for the solution of piping networks , 1971 .

[16]  Mordechai Shacham,et al.  Pipeline Network Design and Synthesis , 1978 .

[17]  D. Brkić An improvement of Hardy Cross method applied on looped spatial natural gas distribution networks , 2009 .

[18]  Don J. Wood,et al.  Hydraulic Network Analysis Using Linear Theory , 1972 .

[19]  Hardy Cross,et al.  Analysis of flow in networks of conduits or conductors , 1936 .

[20]  Fred F. Farshad,et al.  New developments in surface roughness measurements, characterization, and modeling fluid flow in pipe , 2001 .

[21]  S. Haaland Simple and Explicit Formulas for the Friction Factor in Turbulent Pipe Flow , 1983 .

[22]  Carlos Pinho,et al.  Considerations About Equations for Steady State Flow in Natural Gas , 2007 .

[23]  C F Colebrook,et al.  TURBULENT FLOW IN PIPES, WITH PARTICULAR REFERENCE TO THE TRANSITION REGION BETWEEN THE SMOOTH AND ROUGH PIPE LAWS. , 1939 .

[24]  Paul F. Boulos,et al.  Convergence of Newton method in nonlinear network analysis , 1995 .

[25]  Richard M. Aynsley,et al.  A resistance approach to analysis of natural ventilation airflow networks , 1997 .

[26]  A. M. G. Lopes Implementation of the Hardy‐Cross method for the solution of piping networks , 2004, Comput. Appl. Eng. Educ..