FLOOD ROUTING THROUGH STORM DRAINS-PART I SOLUTIONS OF PROBLEMS OF UNSTEADY FREE SURFACE FLOW IN STORM DRAINS

THE FIRST PART --- ENTITLED "SOLUTION OF PROBLEMS OF UNSTEADY FREE-SURFACE FLOW IN STORM DRAINS"---OF A FOUR-PART SERIES PRESENTS RESULTS OF (1) EXPERIMENTAL STUDIES IN A 3-FT DIAMETER, 822-FT LONG STORM CONDUIT AND (2) THEORETICAL STUDIES. TWO QUASILINEAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS OF GRADUALLY VARIED FREE-SURFACE UNSTEADY FLOW ARE DERIVED ON THE BASIS OF THE PRINCIPLES OF CONSERVATION OF MASS AND MOMENTUM. THE NUMERICAL INTEGRATION OF DIFFERENTIAL EQUATIONS BY THE SPECIFIED INTERVAL SCHEME OF THE METHOD OF CHARACTERISTICS, THE DIFFUSING SCHEME, AND THE LAX- WENDROFF SCHEME IS DISCUSSED; THE METHOD OF CHARACTERISTICS IS SELECTED FOR THE PRACTICAL INTEGRATION PROCEDURE WHENEVER THE COMPLETE DIFFERENTIAL EQUATIONS ARE USED. EXPERIMENTAL AND ANALYTICAL INVESTIGATIONS OF THE GEOMETRIC AND HYDRAULIC PARAMETERS THAT DEFINE THE COEFFICIENTS OF THE TWO DIFFERENTIAL EQUATIONS ARE SUMMARIZED. PARTICULAR ATTENTION IS GIVEN TO GEOMETRIC CHARACTERISTICS OF A CIRCULAR CONDUIT, TO HYDRAULIC RESISTANCE, TO VELOCITY DISTRIBUTION COEFFICIENTS, AND TO JUNCTION BOX ENERGY LOSSES. THE INITIAL AND BOUNDARY CONDITIONS ARE EXPERIMENTALLY STUDIED AND ARE EXPRESSED MATHEMATICALLY FOR THE NUMERICAL SOLUTIONS. THE ANALYTICALLY COMPUTED WAVES ARE THEN COMPARED WITH THE EXPERIMENTALLY OBSERVED WAVES BY USING THE SAME INITIAL AND BOUNDARY CONDITIONS. QUALITATIVE AND QUANTITATIVE COMPARISONS ARE GIVEN FOR DEPTH HYDROGRAPHS AT DIFFERENT POSITIONS, FOR DEPTH WAVE PROFILES AT DIFFERENT INSTANTS IN TIME, AND FOR THE PEAK-DEPTH VERSUS BOTH POSITION AND TIME. FROM A PRACTICAL POINT OF VIEW, GOOD AGREEMENT IS INDICATED BY THESE COMPARISONS. THE APPLICATIONS OF SIMPLIFIED ROUTING METHODS ARE ALSO COMPARED IN GENERAL TERMS TO THE SOLUTIONS OBTAINED BY SOLVING THE TWO PARTIAL DIFFERENTIAL EQUATIONS OF UNSTEADY FLOW. THE ERRORS IN CONDUIT GEOMETRIC PARAMETERS, IN HYDRAULIC PARAMETERS, IN NUMERICAL COMPUTATIONS, AND IN EXPERIMENTAL OBSERVATIONS ARE ANALYZED AND DISCUSSED. /AUTHOR/

  • Supplemental Notes:
    • No 43, 107 PP, 44 FIG, 36 TAB, 23 REF, 5 APP
  • Corporate Authors:

    Colorado State University, Fort Collins

    Hydrology Papers
    Fort Collins, CO  United States  80523
  • Authors:
    • Yevjevich, V
    • Barnes, A H
  • Publication Date: 1970-11

Subject/Index Terms

Filing Info

  • Accession Number: 00204396
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Dec 30 1971 12:00AM