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Modeling of channel flows with transition interface separating free surface and pressurized channel flows

Moradi, Saied and Wang, Yongqi and Oberlack, Martin (2011):
Modeling of channel flows with transition interface separating free surface and pressurized channel flows.
In: Mathematical Optimization of Water Networks, Birkhäuser Verlag, pp. 15-42, [Book Section]

Abstract

In practical application open-channel or free-surface channel flow under the influence of gravity in sewers has traditionally been modeled with mathematical models based on one-dimensional governing equations of continuity and momentum - the so-called Saint Venant equations. High volumetric flow rates or strong rains may lead to the transition from partial to fully filled cross sections in a sewer net, i.e. a free surface flow is not guaranteed any more. Hence the mathematical model of the Saint Venant equations loses its validity in whole or in parts of the channels and a transition occurs to the pressurized pipe equations. The main goal of this work is to bring forward our knowledge about the process of changing the governing regime of the fluid equations in the channel flow and to attempt to perform a general modeling tracking the movement of the transition interface between a free surface flow and the pressurized flow in one-dimensional channels. Various flow cases with or without a moving transition are numerically investigated by means of the high-precision Discontinuous Galerkin Finite Element method. An exact knowledge of this event allows to optimize the controlling of equipment and the operation in a sewer or design a new sewer correctly and effectively.

Item Type: Book Section
Erschienen: 2011
Creators: Moradi, Saied and Wang, Yongqi and Oberlack, Martin
Title: Modeling of channel flows with transition interface separating free surface and pressurized channel flows
Language: English
Abstract:

In practical application open-channel or free-surface channel flow under the influence of gravity in sewers has traditionally been modeled with mathematical models based on one-dimensional governing equations of continuity and momentum - the so-called Saint Venant equations. High volumetric flow rates or strong rains may lead to the transition from partial to fully filled cross sections in a sewer net, i.e. a free surface flow is not guaranteed any more. Hence the mathematical model of the Saint Venant equations loses its validity in whole or in parts of the channels and a transition occurs to the pressurized pipe equations. The main goal of this work is to bring forward our knowledge about the process of changing the governing regime of the fluid equations in the channel flow and to attempt to perform a general modeling tracking the movement of the transition interface between a free surface flow and the pressurized flow in one-dimensional channels. Various flow cases with or without a moving transition are numerically investigated by means of the high-precision Discontinuous Galerkin Finite Element method. An exact knowledge of this event allows to optimize the controlling of equipment and the operation in a sewer or design a new sewer correctly and effectively.

Title of Book: Mathematical Optimization of Water Networks
Publisher: Birkhäuser Verlag
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 18:21
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