Transitional Water Flow in Steady-State

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

In this paper we derive a mathematical description of the steady-state water flow in the transitional Reynolds area, i.e. between Reynolds numbers 2000 and 4000. Specifying the flow as two dimensional function of the pressure drop and the roughness of a conduit pipe, a description is obtained which not only satisfies the boundary conditions, but also the gradient on the laminar-transitional as well as the transitional-turbulent boundary to a sufficient degree of accuracy. This is motivated by the need to identify individual friction parameters per pipe in a water supply network, a necessity for being able to detect and localise faults reliably. It occurs that although some flows have never been in the turbulent regime, one often yet mistakenly tries to find roughness values for corresponding pipes during the network's calibration. In order to let the calibration algorithm itself decide if an appropriate pipe flow has been laminar or turbulent, a continuous and smooth description in between is needed. Effectively, this work lays part of the foundation for water network calibration algorithms, which fully account for the different flow regimes using pressure sensors primarily.
Originalspracheenglisch
Aufsatznummer77
Seiten (von - bis)478
Seitenumfang490
FachzeitschriftApplied Mathematical Modelling
PublikationsstatusVeröffentlicht - Jan 2020

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Pipe
Calibration
Water
Surface roughness
Roughness
Pipe flow
Pressure sensors
Water supply
Pipe Flow
Pressure Sensor
Pressure drop
Pressure Drop
Reynolds number
Boundary conditions
Friction
Fault
Sufficient
Gradient

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    Transitional Water Flow in Steady-State. / Kaltenbacher, Stefan; Steinberger, Martin; Horn, Martin.

    in: Applied Mathematical Modelling, 01.2020, S. 478.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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    AU - Steinberger, Martin

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    KW - transitional flow regime

    KW - critical flow regime

    KW - pipe roughness

    KW - Colebrook-White

    KW - Darcy-Weisbach

    KW - laminar-turbulent boundary

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