A transient 2-D water quality model for pipeline systems

References

• AWWARF . 1996 . “ Internal corrosion of water distribution system ” . In AmericanWater Works Association Research Foundation USA
   Google Scholar
• Bergant , A. , Vitkovsky , J. P. , Simpson , A. R. and Lambert , M. F. Behaviour of unsteady pipe flow friction models in the case of valve-opening . 21st IAHR Symposium on Hydraulic Machinery and Systems . September 9–12 . Lausanne , , Switzerland : IAHR .
   Google Scholar
• Biswas , P. , Lu , C. S. and Clark , R. M. 1993 . Chlorine concentration decay in pipes . Water Res. , 27 ( 2 ) : 1715 – 1724 .
   Web of Science ®Google Scholar
• Boulos , P. , Altman , T. , Bowcock , R. , Dhingra , A. and Collevati , F. An explicit algorithm for modeling distribution system water quality with applications . 2nd BHR International Conference on Water Pipeline Systems . Edinburgh, Scotland . Edited by: Miller , D. S. pp. 405 – 432 . London : Mechanical Publications Limited .
   Google Scholar
• Boulos , P. , Altman , T. , Jarriage , P. and Collevati , F. 1995 . Discrete simulation approach for network water quality models . J.Water Resources Planning and Management , 121 ( 1 ) : 49 – 60 .
   Web of Science ®Google Scholar
• Clark , R. , Grayman , W. and Males , R. 1988 . Contaminant propagation in distribution system . J. Envi. Engng., ASCE , 114 ( 4 ) : 929 – 943 .
   Web of Science ®Google Scholar
• Fernandes , C. and Karney , B. W. 2004 . Modeling the advection equation under water hammer conditions . Urban Water Journal, Special Issue on Transients , 1 ( 2 ) : 97 – 112 .
   Web of Science ®Google Scholar
• Ferziger , J. H. 1981 . Numerical Methods for Engineering Application , New York : Wiley .
   Google Scholar
• Grayman , W. , Clark , R. and Males , R. 1988 . Modeling distribution water quality: dynamic approach . J.Water Resources Planning and Management , 114 ( 3 ) : 295 – 312 .
   Web of Science ®Google Scholar
• Jadas-Hecart , A. , El Moher , A. , Stitou , M. , Bouillot , P. and Legube , B. 1992 . The chlorine deman of a treated water . Water Res. , 26 ( 8 ) : 1073 – 1084 .
   Web of Science ®Google Scholar
• Karney , B. W. and Ghidaoui , M. S. 1997 . Flexible discretization algorithm for fixed-grid moc in pipelines . J. Hydraul. Engng. , 123 : 1004 – 1011 .
   Web of Science ®Google Scholar
• Kita , Y. , Adachi , Y. and Hirose , K. 1975 . Periodically oscillating turbulent flow in a pipe . Bulletin of the JSME , 23 ( 179 ) : 656 – 664 .
   Google Scholar
• Liou , C. and Kroon , J. 1987 . Modeling the propagation of waterborne substance in distribution networks . AWWA , 79 ( 11 ) : 54 – 58 .
   Web of Science ®Google Scholar
• Naser , Gh. , Karney , B. W. , Nixon , W. , Ghidaoui , M. S. and Brunone , B. A quasi two-dimensional approach in transient flow modeling . 12th Annual Conf. of Computational Fluid Dynamics . Ottawa , Canada.
   Google Scholar
• Naser , Gh. 2006 . Water quality in distribution system: A two-dimensional multi-component simulation model , Toronto , , Canada : University of Toronto . Ph.D. Thesis
   Google Scholar
• Ozdemir , O. N. and Ger , A. M. 1998 . Realistic numerical simulation of chlorine decay in pipes . Water Res. , 32 ( 11 ) : 3307 – 3312 .
   Web of Science ®Google Scholar
• Ozdemir , O. N. and Ger , A. M. 1999 . Unsteady 2-d chlorine transport inwater supply pipes . Water Res. , 33 ( 17 ) : 3637 – 3645 .
   Web of Science ®Google Scholar
• Powell , J. C. , West , J. R. , Hallam , N. B. , Forster , C. F. and Simms , J. 2000 . Performance of various kinetic models for chlorine decay . J.Water Res. Planning and Management , 126 ( 1 ) : 13 – 20 .
   Web of Science ®Google Scholar
• Rodi , W. 1993 . Turbulence Models and Their Application in Hydraulics; A State of the Art Review , 3d edn. Edited by: Balkema , A. A. Rotterdam , , Netherlands
   Google Scholar
• Rossman , L. 1993 . EPANET Users Manual , Cincinnati , Ohio : Risk Reduction Engineering Laboratory, US Environmental Protection Agency .
   Google Scholar
• Rossman , L. A. , Clark , R. M. and Grayman , W. M. 1994 . Modeling chlorine residuals in drinking water distribution systems . J. Envi. Engng. , 120 ( 4 ) : 803 – 820 .
   Web of Science ®Google Scholar
• Rossman , L. and Boulos , P. 1996 . Numerical methods for modeling water quality in distribution systems: a comparison . J. Water Resources Planning and Management , 122 ( 2 ) : 137 – 146 .
   Web of Science ®Google Scholar
• Rubin , H. and Atkinson , J. 2001 . Environmental Fluid Mechanics , USA : Marcel Dekker Inc .
   Google Scholar
• Taylor , G. Dispersion of soluble matter in solvent flowing slowly through a tube . Proceeding of the Royal Society London Service A . Vol. 219 , pp. 186 – 203 .
   Google Scholar
• Taylor , G. Dispersion of matter in turbulent flow through a pipe . Proceeding of the Royal Society London Service A . Vol. 223 , pp. 446 – 468 .
   Google Scholar
• Vitkovsky , J. P. , Bergant , A. , Simpson , A. R. and Lambert , M. F. 2006 . Systematic evaluation of one-dimensional unsteady friction models in simple pipelines . J. Hydraul. Engng. ASCE , 132 ( 7 ) : 696 – 708 .
   Web of Science ®Google Scholar
• Zhang , G. R. , Kiene , L. , Wable , O. , Chan , U. S. and Duguet , J. P. 1992 . Modeling of chlorine residual in water distribution network of macao . Environmental Technology , 13 ( 10 ) : 937 – 946 .
   Web of Science ®Google Scholar
• Zhao , M. and Ghidaoui , M. S. 2003 . An efficient solution for quasi two-dimensionalwater hammer problems . J. Hydraul. Engng., ASCE , 129 ( 12 ) : 1007 – 1013 .
   Web of Science ®Google Scholar