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Longitudinal dispersion in steady and unsteady pipe flow
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Hart, James R. (2013) Longitudinal dispersion in steady and unsteady pipe flow. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2690058~S1
Abstract
The longitudinal dispersion coefficient describes the change in characteristics of a
solute cloud, as it travels along the longitudinal axis of a
flow. Within potable water
networks, it is important to be able quantify this parameter, to predict the fate of
solutes introduced into the network. Current water quality models assume steady,
highly turbulent
flow [Tzatchkov et al., 2009]. However, this assumption is not
valid for the network's periphery, where water leaves the main network and comes
to the point of consumption. Here, the
flow can be both unsteady and turbulent,
transitional or laminar [Buchberger et al., 2003; Blokker et al., 2008, 2010].
Taylor [1954] proposed a now classical expression to predict the longitudinal
dispersion coefficient within steady, turbulent pipe
flow. However, experimental
data has shown significant deviation from his prediction for Re < 20000.
Within the present work, new experimental data is presented for steady and
unsteady
flows for a range of discharges corresponding to 2000 < Re < 50000. From
this experimental work, results describing the mixing processes through steady and
unsteady turbulent and transitional pipe
flow are presented, as well as an explana-
tion as to why Taylor's theory fails to predict experimental data for Re < 20000.
In addition, a simple numerical model is proposed for steady
flow for 2000 <
Re < 50000. The model extends Taylor's analysis to predict the longitudinal disper-
sion coefficient in a manner more consistent with experimental data for Re < 20000.
Furthermore, the model is extended for use within unsteady
flow.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) |
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Library of Congress Subject Headings (LCSH): | Dispersion, Unsteady flow (Fluid dynamics), Pipe -- Fluid dynamics | ||||
Official Date: | May 2013 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | School of Engineering | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Guymer, I. (Ian) | ||||
Extent: | xviii, 191 leaves : illustrations. | ||||
Language: | eng |
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