The spatial evolution of velocity and density profiles in an arrested salt wedge

The spatial evolution of velocity and density profiles in an arrested salt wedge

The spatial variation in the properties of an arrested salt wedge have been investigated, both analytically and in the laboratory. In the laboratory particle image velocimetry and laser induced fluorescence were used to obtain flow velocities and the height of the density interface. An analytical so...

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Main Authors: Adam J.K. Yang, E.W. Tedford, G.A. Lawrence
Format: Article
Language:English
Published: Elsevier 2019-11-01
Series:Theoretical and Applied Mechanics Letters
Online Access:http://www.sciencedirect.com/science/article/pii/S2095034919300704
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spelling doaj-2f231fff054f483c8493fd9d1f27e72c2020-11-25T02:07:51ZengElsevierTheoretical and Applied Mechanics Letters2095-03492019-11-0196403408The spatial evolution of velocity and density profiles in an arrested salt wedgeAdam J.K. Yang0E.W. Tedford1G.A. Lawrence2Corresponding author; Department of Civil Engineering, University of British Columbia, Vancouver, BC V6T1Z4, CanadaDepartment of Civil Engineering, University of British Columbia, Vancouver, BC V6T1Z4, CanadaDepartment of Civil Engineering, University of British Columbia, Vancouver, BC V6T1Z4, CanadaThe spatial variation in the properties of an arrested salt wedge have been investigated, both analytically and in the laboratory. In the laboratory particle image velocimetry and laser induced fluorescence were used to obtain flow velocities and the height of the density interface. An analytical solution for the profile of interface height, in the absence of interfacial instabilities, has been developed from two-layer internal hydraulic theory. The evolution of the velocity profile is predicted using a momentum diffusion equation following a Lagrangian frame of reference along the interface of the salt wedge. The centre of the shear layer is predicted to lie above the density interface, with this offset decreasing in the downstream direction. Our theoretical predictions are in good agreement with our laboratory measurements. Keywords: Arrested salt wedge, Internal hydraulics, Shear layer, Asymmetryhttp://www.sciencedirect.com/science/article/pii/S2095034919300704
collection DOAJ
language English
format Article
sources DOAJ
author Adam J.K. Yang
E.W. Tedford
G.A. Lawrence
spellingShingle Adam J.K. Yang
E.W. Tedford
G.A. Lawrence
The spatial evolution of velocity and density profiles in an arrested salt wedge
Theoretical and Applied Mechanics Letters
author_facet Adam J.K. Yang
E.W. Tedford
G.A. Lawrence
author_sort Adam J.K. Yang
title The spatial evolution of velocity and density profiles in an arrested salt wedge
title_short The spatial evolution of velocity and density profiles in an arrested salt wedge
title_full The spatial evolution of velocity and density profiles in an arrested salt wedge
title_fullStr The spatial evolution of velocity and density profiles in an arrested salt wedge
title_full_unstemmed The spatial evolution of velocity and density profiles in an arrested salt wedge
title_sort spatial evolution of velocity and density profiles in an arrested salt wedge
publisher Elsevier
series Theoretical and Applied Mechanics Letters
issn 2095-0349
publishDate 2019-11-01
description The spatial variation in the properties of an arrested salt wedge have been investigated, both analytically and in the laboratory. In the laboratory particle image velocimetry and laser induced fluorescence were used to obtain flow velocities and the height of the density interface. An analytical solution for the profile of interface height, in the absence of interfacial instabilities, has been developed from two-layer internal hydraulic theory. The evolution of the velocity profile is predicted using a momentum diffusion equation following a Lagrangian frame of reference along the interface of the salt wedge. The centre of the shear layer is predicted to lie above the density interface, with this offset decreasing in the downstream direction. Our theoretical predictions are in good agreement with our laboratory measurements. Keywords: Arrested salt wedge, Internal hydraulics, Shear layer, Asymmetry
url http://www.sciencedirect.com/science/article/pii/S2095034919300704
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