Benthic Boundary Mixing in a Stratified Lake

Haider, Ziaul; Hondzo, Miki; Lyn, D. A.

doi:10.1061/40517(2000)228

Cited by 2 publications

(5 citation statements)

References 7 publications

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“…The turbulent boundary layer thickness was estimated from a frame-by-frame analysis of the video images using the schlieren method. Comparable estimates were obtained using the Thorpe displacement scale [Haider, 2001]. The boundary layer thickness at 12°and 18°slopes as detectable over all the phases of the internal waves, while the boundary layer thickness at a 6°slope was intermittent and not detectable over the 30% time of the internal wave phases.…”

Section: Laboratory Measurementsmentioning

confidence: 68%

“…A schematic design of the experimental apparatus used in the study is shown in Figure 3. A flume of 7.6 m length, 0.45 m depth and 0.2 m width was divided in the middle by a hinged wave maker [ Ivey and Nokes , 1989; Haider , 2001]. A linear stratification was created in the flume using the standard two‐tank method [ Fortuin , 1960; Oster , 1965], after which the 18°, 12°, and 6° slopes were slid into place.…”

Section: Methodsmentioning

confidence: 99%

“…The cross differentiation of momentum and and neglecting changes in flow parameters along the slope [ Haider , 2001] yield the mean vorticity equation:

The product of the time‐averaged velocity normal to the slope and the gradient of the time‐averaged along‐slope velocity do not vary significantly with distance from the boundary [ Haider , 2001]. Therefore can be written as:

Substituting , , , and into yields

The first term on the left‐hand side in represents the horizontal projection of the change of time‐averaged buoyancy along the slope, the second term is the horizontal projection of the change of time‐averaged buoyancy perpendicular to the slope, and the right‐hand side implies the second derivative of the Reynold's stress.…”

Section: Methodsmentioning

confidence: 99%

“…[14] The cross differentiation of momentum equations (1) and (2) and neglecting changes in flow parameters along the slope [Haider, 2001] yield the mean vorticity equation:…”

Section: Boundary Layer Thickness: Scaling Formulationsmentioning

confidence: 99%

“…The product of the time-averaged velocity normal to the slope and the gradient of the time-averaged along-slope velocity do not vary significantly with distance from the boundary [Haider, 2001]. Therefore equation (10) can be written as:…”

Section: Boundary Layer Thickness: Scaling Formulationsmentioning

confidence: 99%

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Boundary mixing in a small stratified lake

Hondzo

Haider

2004

Water Resources Research

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[1] Field measurements in a small stratified lake were conducted to investigate the existence of a turbulent benthic boundary layer on a uniform sloping boundary. High levels of energy dissipation at the sloping boundaries indicate energy is drained from the internal waves so that turbulent fluxes are driven above these boundaries. Although the transitional value of the turbulent Reynolds number of R et > 15 has been used to assess the capacity of stratified flow to sustain turbulent fluxes, the laboratory and field data presented in this study reveal turbulence activity in the range of R et > 1. A scaling analysis indicates the turbulent boundary layer thickness depends on four parameters: the dissipation of turbulent kinetic energy, the strength of stratification, the length of the sloping boundary, and the angle of inclination of the sloping boundary. A proposed model of the boundary layer thickness is in good agreement with the laboratory and field measurements.

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Section: Laboratory Measurementsmentioning

confidence: 68%

Section: Methodsmentioning

confidence: 99%

“…The cross differentiation of momentum and and neglecting changes in flow parameters along the slope [ Haider , 2001] yield the mean vorticity equation:

Substituting , , , and into yields

Section: Methodsmentioning

confidence: 99%

“…[14] The cross differentiation of momentum equations (1) and (2) and neglecting changes in flow parameters along the slope [Haider, 2001] yield the mean vorticity equation:…”

Section: Boundary Layer Thickness: Scaling Formulationsmentioning

confidence: 99%

Section: Boundary Layer Thickness: Scaling Formulationsmentioning

confidence: 99%

See 3 more Smart Citations