Numerical Modelling of Free Overfall

Yakun Guo

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Free overfall is treated by using two-dimensional steady potential flow theory. Based on the theory of the boundary value problem of analytical function and the substitution of variables we derive the boundary integral equations in the physical plane for solving the free overfall in a rectangular channel. A numerical iterative method has been developed to solve these boundary integral equations. The free water surface profiles, pressure distribution, and the end-depth ratio are calculated for a wide range of bed slopes, bed roughness, and incoming upstream Froude number. The computed results agree well with the available experimental data.

Original languageEnglish
Pages (from-to)134-138
Number of pages4
JournalJournal of Hydraulic Engineering
Volume131
Issue number2
DOIs
Publication statusPublished - Feb 2005

Keywords

  • numerical models
  • potential flow
  • boundaries
  • surface flow
  • flow measurement
  • Froude number
  • INITIALLY UNKNOWN DISCHARGE
  • RECTANGULAR FREE OVERFALL
  • FLOW
  • SLUICE

Cite this

Numerical Modelling of Free Overfall. / Guo, Yakun.

In: Journal of Hydraulic Engineering, Vol. 131, No. 2, 02.2005, p. 134-138.

Research output: Contribution to journalArticle

Guo, Yakun. / Numerical Modelling of Free Overfall. In: Journal of Hydraulic Engineering. 2005 ; Vol. 131, No. 2. pp. 134-138.
@article{e09d8f2e14994d749587af217109e114,
title = "Numerical Modelling of Free Overfall",
abstract = "Free overfall is treated by using two-dimensional steady potential flow theory. Based on the theory of the boundary value problem of analytical function and the substitution of variables we derive the boundary integral equations in the physical plane for solving the free overfall in a rectangular channel. A numerical iterative method has been developed to solve these boundary integral equations. The free water surface profiles, pressure distribution, and the end-depth ratio are calculated for a wide range of bed slopes, bed roughness, and incoming upstream Froude number. The computed results agree well with the available experimental data.",
keywords = "numerical models, potential flow, boundaries, surface flow, flow measurement, Froude number, INITIALLY UNKNOWN DISCHARGE, RECTANGULAR FREE OVERFALL, FLOW, SLUICE",
author = "Yakun Guo",
year = "2005",
month = "2",
doi = "10.1061/(ASCE)0733-9429(2005)131:2(134)",
language = "English",
volume = "131",
pages = "134--138",
journal = "Journal of Hydraulic Engineering",
issn = "0733-9429",
publisher = "American Society of Civil Engineers (ASCE)",
number = "2",

}

TY - JOUR

T1 - Numerical Modelling of Free Overfall

AU - Guo, Yakun

PY - 2005/2

Y1 - 2005/2

N2 - Free overfall is treated by using two-dimensional steady potential flow theory. Based on the theory of the boundary value problem of analytical function and the substitution of variables we derive the boundary integral equations in the physical plane for solving the free overfall in a rectangular channel. A numerical iterative method has been developed to solve these boundary integral equations. The free water surface profiles, pressure distribution, and the end-depth ratio are calculated for a wide range of bed slopes, bed roughness, and incoming upstream Froude number. The computed results agree well with the available experimental data.

AB - Free overfall is treated by using two-dimensional steady potential flow theory. Based on the theory of the boundary value problem of analytical function and the substitution of variables we derive the boundary integral equations in the physical plane for solving the free overfall in a rectangular channel. A numerical iterative method has been developed to solve these boundary integral equations. The free water surface profiles, pressure distribution, and the end-depth ratio are calculated for a wide range of bed slopes, bed roughness, and incoming upstream Froude number. The computed results agree well with the available experimental data.

KW - numerical models

KW - potential flow

KW - boundaries

KW - surface flow

KW - flow measurement

KW - Froude number

KW - INITIALLY UNKNOWN DISCHARGE

KW - RECTANGULAR FREE OVERFALL

KW - FLOW

KW - SLUICE

U2 - 10.1061/(ASCE)0733-9429(2005)131:2(134)

DO - 10.1061/(ASCE)0733-9429(2005)131:2(134)

M3 - Article

VL - 131

SP - 134

EP - 138

JO - Journal of Hydraulic Engineering

JF - Journal of Hydraulic Engineering

SN - 0733-9429

IS - 2

ER -