Exact solutions for normal depth problem

Achour, Bachir; Bedjaoui, A.

doi:10.1080/00221686.2006.9521721

Cited by 26 publications

(24 citation statements)

References 1 publication

(1 reference statement)

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“…Many authors have been attempting to solve this problem by producing explicit solution for normal depth using Manning equation or Colebrook-white formula. These include Barr and Das (1986), Wheeler (1992), Esen (1993), Swamee and Rathie (2004) and Achour and Bedjaoui (2006).…”

Section: Introductionmentioning

confidence: 98%

Analytical solution for the flow velocity and water surface angle in drainage and sewer networks: case of pipes arranged in series

Zeghadnia¹,

Djemili²,

Houichi³

2014

IJHST

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Drainage and sewer network runs mostly under free surface flow condition. Among the characteristics which are important for practitioners are the flow velocity and water surface angle. The computation of these parameters in partially full pipes using Manning equation is implicit and requires iterative and laborious calculation methods. The goal of this paper is to provide a new method, where the exact computation of the flow velocity and water surface angle in partially filled pipe becomes easy, direct and simple using a reference pipe with known characteristics.

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Section: Introductionmentioning

confidence: 98%

Analytical solution for the flow velocity and water surface angle in drainage and sewer networks: case of pipes arranged in series

Zeghadnia¹,

Djemili²,

Houichi³

2014

IJHST

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“…They tried to eliminate the need for trial and error methods for water surface angle ranging between 0°and 302.41°. Other authors have used the Colebrook-White model, including Prabhata (1994), Prabhata and Pushpa (2004), and Achour and Bedjaoui (2006).…”

Section: Introductionmentioning

confidence: 99%

New Approach for the Computation of the Water Surface Angle in Partially Filled Pipes: Pipes Arranged in Parallel

Zeghadnia

Robert

2017

J. Pipeline Syst. Eng. Pract.

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This article presents a new approach for the computation of the water surface angle in pipes arranged in parallel. Estimating this parameter in partially filled pipes is an important task in the solution of many practical problems in the different branches of the engineering profession such as flow measurement and design of drainage networks, where the flow is mostly of the free surface type. This characteristic is needed in the trial and error classical solution and huge number of times. The new method is elaborated to overcome the laborious trial and error method. Here, the computation of the water surface angle becomes easy, simple, and direct.

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“…That is why this article is proposed which aims to establish simple relationships for calculating Chezy's coefficient based on practical data. The calculation approach is based on the rough model method (RMM) that has been proven in the recent past by contributing successfully to the design of conduits and channels and to the calculation of normal depth [13][14][15][16][17][18][19][20][21][22][23][24][25]. Two explicit methods of calculating Chezy's coefficient are proposed.…”

Section: Introductionmentioning

confidence: 99%

Chezy’s Resistance Coefficient in a Circular Conduit

Achour¹

2015

TOCIEJ

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In the literature, there is no explicit method for calculating the resistance coefficient of Chezy, especially for a circular conduit. Existing relationships are either implicit or do not take into account all parameters influencing the flow such as kinematic viscosity or the slope of the conduit. In many practical cases, one affects arbitrarily a constant value for Chezy’s coefficient. It is a physically unjustified approach, because Chezy’s coefficient varies with flow parameters, especially the filling rate of the conduit and the absolute roughness. In this paper, simple and explicit relationships are presented for the calculation of Chezy’s resistance coefficient in a circular conduit. These relationships have been established based on the rough model method. The Chezy’s resistance coefficient is expressed in terms of known hydraulic parameters of the flow in a referential rough model. For fast calculation of Chezy’s coefficient, the simplified method is the most appropriate since it requires only four parameters which are the discharge, the absolute roughness, the slope and the kinematic viscosity. The study also shows that the Chezy’s resistance coefficient reaches a maximum whose expression is well defined. Some examples are presented showing how to calculate Chezy's coefficient in a circular conduit with a minimum practical data.

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Exact solutions for normal depth problem

Cited by 26 publications

References 1 publication

Analytical solution for the flow velocity and water surface angle in drainage and sewer networks: case of pipes arranged in series

Analytical solution for the flow velocity and water surface angle in drainage and sewer networks: case of pipes arranged in series

New Approach for the Computation of the Water Surface Angle in Partially Filled Pipes: Pipes Arranged in Parallel

Chezy’s Resistance Coefficient in a Circular Conduit

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