Laboratory modelling experiments on the flow generated by the tidal motion of a stratified ocean over a continental shelf

Yakun Guo, P. A. Davies

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Laboratory model experiments have been conducted to investigate the interaction of a tidally forced stratified flow with a continental shelf. Results collected from a wide range of parametric experiments covering sub-, critical and super-critical tidal forcing are presented to show that the resulting flow regimes can be classified conveniently by the dimensionless parameters Fr = U-sb/Cw and mu = omega(2)/N(0)(2)alpha, where U-sb is the maximum velocity at the shelf break of slope angle alpha, c(w) is the long-wave speed of the lowest internal mode, omega is the frequency of the forcing and No is the buoyancy frequency of the initial undisturbed flow. Three distinct and characteristic flow regimes are observed, namely (i) shelf break eddies, (ii) intense downslope jets associated with offshore filamentary transport and (iii) pure up- and downslope oscillatory jet flow, the occurrence of each of which is well-determined within Fr : mu parameter space. Measurements show a monotonic increase in eddy size (normalised by the amplitude A of the tidal forcing) with increasing Fr, while the thickness of the up- and downslope jet is shown to scale with A and to have no significant dependence on Fr. Measurements of the perturbation density field show significant intra-cycle variability in the local mixing and overturning parameters such as the buoyancy anomaly g(1)(z(i)), the available potential energy function and the r.m.s. density p(r.m.s.), with evidence of weak mixing and overturning (but significant internal wave activity) at slack tide conditions. Maximum values of both xi and p(r.m.s.) within a cycle show monotonic increases with increasing Fr and a strong dependence upon a and offshore location. Overall qualitative agreement with aspects of related numerical model results of Xing and Davies (J. Phys. Oceanogr. 27 (1997) 2100) and Holloway and Barnes (Cont. Shelf Res. 18 (1998) 31) is shown to be encouraging. (C) 2002 Elsevier Science Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)193-212
Number of pages19
JournalContinental Shelf Research
Volume23
DOIs
Publication statusPublished - 2003

Keywords

  • internal waves
  • mixing
  • eddies
  • turbulence
  • internal tides
  • shelf slope
  • INTERNAL TIDES
  • WAVES
  • SLOPE
  • FLUID
  • EDGE
  • TOPOGRAPHY
  • TURBULENCE
  • REGIONS
  • BANK
  • SEA

Cite this

Laboratory modelling experiments on the flow generated by the tidal motion of a stratified ocean over a continental shelf. / Guo, Yakun; Davies, P. A.

In: Continental Shelf Research, Vol. 23, 2003, p. 193-212.

Research output: Contribution to journalArticle

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N2 - Laboratory model experiments have been conducted to investigate the interaction of a tidally forced stratified flow with a continental shelf. Results collected from a wide range of parametric experiments covering sub-, critical and super-critical tidal forcing are presented to show that the resulting flow regimes can be classified conveniently by the dimensionless parameters Fr = U-sb/Cw and mu = omega(2)/N(0)(2)alpha, where U-sb is the maximum velocity at the shelf break of slope angle alpha, c(w) is the long-wave speed of the lowest internal mode, omega is the frequency of the forcing and No is the buoyancy frequency of the initial undisturbed flow. Three distinct and characteristic flow regimes are observed, namely (i) shelf break eddies, (ii) intense downslope jets associated with offshore filamentary transport and (iii) pure up- and downslope oscillatory jet flow, the occurrence of each of which is well-determined within Fr : mu parameter space. Measurements show a monotonic increase in eddy size (normalised by the amplitude A of the tidal forcing) with increasing Fr, while the thickness of the up- and downslope jet is shown to scale with A and to have no significant dependence on Fr. Measurements of the perturbation density field show significant intra-cycle variability in the local mixing and overturning parameters such as the buoyancy anomaly g(1)(z(i)), the available potential energy function and the r.m.s. density p(r.m.s.), with evidence of weak mixing and overturning (but significant internal wave activity) at slack tide conditions. Maximum values of both xi and p(r.m.s.) within a cycle show monotonic increases with increasing Fr and a strong dependence upon a and offshore location. Overall qualitative agreement with aspects of related numerical model results of Xing and Davies (J. Phys. Oceanogr. 27 (1997) 2100) and Holloway and Barnes (Cont. Shelf Res. 18 (1998) 31) is shown to be encouraging. (C) 2002 Elsevier Science Ltd. All rights reserved.

AB - Laboratory model experiments have been conducted to investigate the interaction of a tidally forced stratified flow with a continental shelf. Results collected from a wide range of parametric experiments covering sub-, critical and super-critical tidal forcing are presented to show that the resulting flow regimes can be classified conveniently by the dimensionless parameters Fr = U-sb/Cw and mu = omega(2)/N(0)(2)alpha, where U-sb is the maximum velocity at the shelf break of slope angle alpha, c(w) is the long-wave speed of the lowest internal mode, omega is the frequency of the forcing and No is the buoyancy frequency of the initial undisturbed flow. Three distinct and characteristic flow regimes are observed, namely (i) shelf break eddies, (ii) intense downslope jets associated with offshore filamentary transport and (iii) pure up- and downslope oscillatory jet flow, the occurrence of each of which is well-determined within Fr : mu parameter space. Measurements show a monotonic increase in eddy size (normalised by the amplitude A of the tidal forcing) with increasing Fr, while the thickness of the up- and downslope jet is shown to scale with A and to have no significant dependence on Fr. Measurements of the perturbation density field show significant intra-cycle variability in the local mixing and overturning parameters such as the buoyancy anomaly g(1)(z(i)), the available potential energy function and the r.m.s. density p(r.m.s.), with evidence of weak mixing and overturning (but significant internal wave activity) at slack tide conditions. Maximum values of both xi and p(r.m.s.) within a cycle show monotonic increases with increasing Fr and a strong dependence upon a and offshore location. Overall qualitative agreement with aspects of related numerical model results of Xing and Davies (J. Phys. Oceanogr. 27 (1997) 2100) and Holloway and Barnes (Cont. Shelf Res. 18 (1998) 31) is shown to be encouraging. (C) 2002 Elsevier Science Ltd. All rights reserved.

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KW - eddies

KW - turbulence

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KW - shelf slope

KW - INTERNAL TIDES

KW - WAVES

KW - SLOPE

KW - FLUID

KW - EDGE

KW - TOPOGRAPHY

KW - TURBULENCE

KW - REGIONS

KW - BANK

KW - SEA

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DO - 10.1016/S0278-4343(02)00115-2

M3 - Article

VL - 23

SP - 193

EP - 212

JO - Continental Shelf Research

JF - Continental Shelf Research

SN - 0278-4343

ER -