Modelling of velocity profiles in transient laminar flow in pipes

Lam H. Taïeb; E. H. Taïeb

doi:10.1243/0954408JPME51

Modelling of velocity profiles in transient laminar flow in pipes

Lam H. Taïeb, E. H. Taïeb

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The authors describe a numerical model to compute the radial profiles of axial velocities in transient laminar flow in pipelines by using the Lax-Wendroff scheme. These velocities are expanded into a polynomial of the radial coordinate where the polynomial coefficients are expressed in terms of weighted averaged velocities. The weighted averaged shear stresses representing friction forces are defined in terms of the weighted averaged velocities. Fluid pressure and weighted averaged velocities are, therefore, considered as the principle dependent variables. Computed results show a satisfactory agreement with experimental results and numerical simulations solutions of previous works.

Original language	English
Pages (from-to)	221-225
Number of pages	5
Journal	Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering
Volume	220
Issue number	4
DOIs	https://doi.org/10.1243/0954408JPME51
State	Published - Nov 2006
Externally published	Yes

Keywords

Axial velocity
Finite differences
Laminar flow
The Lax-Wendroff scheme
Transient flow

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10.1243/0954408JPME51

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title = "Modelling of velocity profiles in transient laminar flow in pipes",

abstract = "The authors describe a numerical model to compute the radial profiles of axial velocities in transient laminar flow in pipelines by using the Lax-Wendroff scheme. These velocities are expanded into a polynomial of the radial coordinate where the polynomial coefficients are expressed in terms of weighted averaged velocities. The weighted averaged shear stresses representing friction forces are defined in terms of the weighted averaged velocities. Fluid pressure and weighted averaged velocities are, therefore, considered as the principle dependent variables. Computed results show a satisfactory agreement with experimental results and numerical simulations solutions of previous works.",

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year = "2006",

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T1 - Modelling of velocity profiles in transient laminar flow in pipes

AU - Taïeb, Lam H.

AU - Taïeb, E. H.

PY - 2006/11

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N2 - The authors describe a numerical model to compute the radial profiles of axial velocities in transient laminar flow in pipelines by using the Lax-Wendroff scheme. These velocities are expanded into a polynomial of the radial coordinate where the polynomial coefficients are expressed in terms of weighted averaged velocities. The weighted averaged shear stresses representing friction forces are defined in terms of the weighted averaged velocities. Fluid pressure and weighted averaged velocities are, therefore, considered as the principle dependent variables. Computed results show a satisfactory agreement with experimental results and numerical simulations solutions of previous works.

AB - The authors describe a numerical model to compute the radial profiles of axial velocities in transient laminar flow in pipelines by using the Lax-Wendroff scheme. These velocities are expanded into a polynomial of the radial coordinate where the polynomial coefficients are expressed in terms of weighted averaged velocities. The weighted averaged shear stresses representing friction forces are defined in terms of the weighted averaged velocities. Fluid pressure and weighted averaged velocities are, therefore, considered as the principle dependent variables. Computed results show a satisfactory agreement with experimental results and numerical simulations solutions of previous works.

KW - Axial velocity

KW - Finite differences

KW - Laminar flow

KW - The Lax-Wendroff scheme

KW - Transient flow

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JO - Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering

JF - Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering

IS - 4

ER -

Modelling of velocity profiles in transient laminar flow in pipes

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Keywords

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