Abstract We quantified turbulent dissipation in the Raritan river using both conventional methods and a novel technique, the structure function method.

Slides:



Advertisements
Similar presentations
INTERNAL WAVE GENERATION, BREAKING, MIXING AND MODEL VALIDATION ALAN DAVIES (POL) JIUXING XING (POL) JARLE BERNTSEN (BERGEN)
Advertisements

Canopy Spectra and Dissipation John Finnigan CSIRO Atmospheric Research Canberra, Australia.
Turbulent Mixing During an Admiralty Inlet Bottom Water Intrusion Philip Orton Hats off to the A-Team: Sally, Erin, Karin and Christie! Profs extraordinaire:
Jonathan Morrison Beverley McKeon Dept. Aeronautics, Imperial College
Aero-Hydrodynamic Characteristics
Convection.
Boundary Layer Flow Describes the transport phenomena near the surface for the case of fluid flowing past a solid object.
Useful texts: Mann & Lazier, The Dynamics of Marine Ecosystems, Blackwell Science. Simpson, In: The Sea, vol 10, chapter 5. Simpson, In: The Sea, vol 11,
Skyler Goldman, Meteorology, DMES RELATIONSHIP BETWEEN ROUGHNESS LENGTH, STATIC STABILITY, AND DRAG COEFFICIENT IN A DUNE ENVIRONMENT.
Turbulence and mixing in estuaries
GG450 April 22, 2008 Seismic Processing.
Examples of secondary flows and lateral variability.
D A C B z = 20m z=4m Homework Problem A cylindrical vessel of height H = 20 m is filled with water of density to a height of 4m. What is the pressure at:
Boundary Layer Meteorology Lecture 4 Turbulent Fluxes Energy Cascades Turbulence closures TKE Budgets.
CHE/ME 109 Heat Transfer in Electronics
California State University, Chico
Controlling of internal processes on estuarine sediment dispersal: internal hydraulic jump and enhanced turbulence mixing Jesse Wu (吳加學), Huan Liu & Chaoyu.
Fluid mechanics 3.1 – key points
Measurement of Kinematics Viscosity Purpose Design of the Experiment Measurement Systems Measurement Procedures Uncertainty Analysis – Density – Viscosity.
Momentum Heat Mass Transfer
Wind Driven Circulation I: Planetary boundary Layer near the sea surface.
The Air-Sea Momentum Exchange R.W. Stewart; 1973 Dahai Jeong - AMP.
Monin-Obukhoff Similarity Theory
Problems and Future Directions in Remote Sensing of the Ocean and Troposphere Dahai Jeong AMP.
Modelling 1: Basic Introduction. What constitutes a “model”? Why do we use models? Calibration and validation. The basic concept of numerical integration.
Reynolds-Averaged Navier-Stokes Equations -- RANS
ISPOL Ocean Turbulence Project Miles McPhee McPhee Research Co. Naches WA USA.
Boundary Layer Velocity Profile z ū Viscous sublayer Buffer zone Logarithmic turbulent zone Ekman Layer, or Outer region (velocity defect layer)
Momentum Equations in a Fluid (PD) Pressure difference (Co) Coriolis Force (Fr) Friction Total Force acting on a body = mass times its acceleration (W)
Turbulent properties: - vary chaotically in time around a mean value - exhibit a wide, continuous range of scale variations - cascade energy from large.
Mass Transfer Coefficient
Fluid Flow in Rivers Outline 1.Flow uniformity and steadiness 2.Newtonian fluids 3.Laminar and turbulent flow 4.Mixing-length concept 5.Turbulent boundary.
LES of Turbulent Flows: Lecture 2 (ME EN )
Mixing From Stresses Wind stresses Bottom stresses Internal stresses Non-stress Instabilities Cooling Double Diffusion Tidal Straining Shear ProductionBuoyancy.
Typical Mean Dynamic Balances in Estuaries Along-Estuary Component 1. Barotropic pressure gradient vs. friction Steady state, linear motion, no rotation,
Delft University of Technology 1 CESAR Science Day, 19 June 2013 Albert Oude Nijhuis Dynamics of turbulence in precipitation: Unravelling the eddies.
George Angeli 26 November, 2001 What Do We Need to Know about Wind for GSMT?
Land-Ocean Interactions: Estuarine Circulation. Estuary: a semi-enclosed coastal body of water which has a free connection with the open sea and within.
Evaluation of shear stress computation at a tidal inlet using different methods A. Pacheco, J.J. Williams, Ó. Ferreira, J.A. Dias.
Reynolds Analogy It can be shown that, under specific conditions (no external pressure gradient and Prandtle number equals to one), the momentum and heat.
One float case study The Argo float ( ) floating in the middle region of Indian Ocean was chosen for this study. In Figure 5, the MLD (red line),
INTRODUCTION TO CONVECTION
Controls on particle settling velocity and bed erodibility in the presence of muddy flocs and pellets as inferred by ADVs, York River estuary, Virginia,
CHANGSHENG CHEN, HEDONG LIU, And ROBERT C. BEARDSLEY
Scales of Motion, Reynolds averaging September 22.

ESTIMATION METHODS We know how to calculate confidence intervals for estimates of  and  2 Now, we need procedures to calculate  and  2, themselves.
BOUNDARY LAYERS Zone of flow immediately in vicinity of boundary Motion of fluid is retarded by frictional resistance Boundary layer extends away from.
Jesus Planella Morató Elena Roget Armengol and Xavier Sanchez Martin “Upraising measurements.
Chapter 14 Introduction to Regression Analysis. Objectives Regression Analysis Uses of Regression Analysis Method of Least Squares Difference between.
Typical Mean Dynamic Balances in Estuaries Along-Estuary Component 1. Barotropic pressure gradient vs. friction Steady state, linear motion, no rotation,
1 Dept. of Agricultural & Biological Engineering University of Illinois TSM 363 Fluid Power Systems TSM 363 Fluid Power Systems Bernoulli’s Law and Applications.
Development of the two-equation second-order turbulence-convection model (dry version): analytical formulation, single-column numerical results, and.
Flocculator Extras.
output power and turbulence in a tidal estuary
Enhancement of Wind Stress and Hurricane Waves Simulation
ABE 223 ABE Principles – Machine systems Bernoulli’s Law Tony Grift
Coastal Ocean Dynamics Baltic Sea Research Warnemünde
Reynolds-Averaged Navier-Stokes Equations -- RANS
Monin-Obukhoff Similarity Theory
BASICS OF TURBULENT FLOW
LCDR John Hendrickson 17SEP2008
하구및 연안생태Coastal management
Turbulent Kinetic Energy (TKE)
ESTIMATION METHODS We know how to calculate confidence intervals for estimates of  and 2 Now, we need procedures to calculate  and 2 , themselves.
하구및 연안생태Coastal management
Turbulent properties:
하구및 연안생태Coastal management
하구및 연안생태Coastal management
COMPARISON OF COASTAL CURRENTS FROM HF RADAR AND ADCP DATA
Presentation transcript:

Abstract We quantified turbulent dissipation in the Raritan river using both conventional methods and a novel technique, the structure function method. The conventional methods utilized velocity data collected from an Acoustic Doppler Velocimeter (ADV) from which dissipation was estimated using a spectral method as well as using a boundary layer model to estimate turbulent dissipation. The drawback to the spectral method was that velocity was only measured at one point so turbulence was assumed to be “frozen” through the entire water column while the boundary layer model had to assume dynamics that may be overly simple for a stratified estuary. The “novel” technique relied on data from a Nortek High Resolution Doppler Profiler, which took velocity data along a vertical beam in the water column. This data was processed using the structure function method, which yielded a vertical profile of dissipation rate and did not rely on the frozen turbulence assumption. Overall, the results were very promising, however the structure function method produced elevated results relative to the conventional methods suggesting that additional analysis is necessary. Aside from improving our understanding of the dynamics of the Raritan river estuary, this project demonstrated the potential use of the structure function method to measure turbulence from a moving platform such as a glider, drifter, or towed vehicle. Introduction Turbulence is a dispersive and dissipative phenomenon originating in the instability of large scale motions. It is responsible for a number of important geophysical processes such as stratification, the overturning of the ocean circulation and even the length of the day and the distance to the moon! According to Kolmogorov’s “cascade theory”, turbulence is characterized by the transfer of kinetic energy from a fluid’s motion to progressively smaller energy scales, ultimately being converted to friction at the molecular level. The study of turbulence in the coastal ocean is complex yet fundamental to improving our understanding of a variety of physical estuarine processes and has many practical applications, such as studying ocean forecasting. ADVNortek HR Doppler Profiler Base/Platfor m Methods and Data Results Line of best fit: Y= x-2.8*10 -6 Conclusions Inertial subrange (red) Spectral Method: According to Kolmogorov’s spectral scaling laws: Where S is turbulent energy per frequency (m 2 s -1 ), ω is frequency, and C is a constant (which was calculated from a linear fit done on the spectrum), is turbulent dissipation (m 2 /s 3 ), β is a constant (1.5), u is velocity. Boundary Layer Method: The Law of the Wall (log layer assumption) was used. A drag coefficient (Cd) was calculated by finding the slope of Reynolds stress vs. velocity squared. This coefficient was then used to calculate turbulent shear production (assumed to be equal to dissipation in an unstratified boundary layer). and where K is 0.41, z is distance from the bottom (1.5 m ), and Cd is drag coefficient. Structure Function: A second order structure function D(z, r) can be defined at a location (z) using velocity v’, so that: D(z,r) is the mean-square of the velocity fluctuation difference between two points separated by a distance r. The results show good agreement between the spectral, boundary layer, and structure function methods. The best agreement was between the spectral method and the structure function method – the boundary layer method was perhaps the least accurate and showed the most scatter. This is probably due to the fact that the assumptions it relied on (an unstratified boundary layer) were violated in this environment: a stratified estuary. The “novel” structure function method appears promising. It provided highly correlated albeit somewhat elevated results (relative to traditional methods) in as few as 64 measurements (see figure above). This indicates the viability of mounting the Nortek HR Profiler on moving vehicles (such as gliders) to obtain vertical turbulence measurements using the structure function method. For example, the HR Doppler Profiler can sample at 8Hz so a vehicle with a 15cm/s vertical velocity accurately estimate dissipation at a vertical resolution of ~1m. Above left: Measurements of velocity obtained from the ADV; the tides are ebb dominant. Above right: River discharge (black), tidal range (blue), lower surface and bottom salinity. Stratification increases with river discharge, decreases with increasing tidal range. MethodMean ϵ Value (m 2 /s 3 ) Spectral1.020 x Boundary Layer Model3.565 x Structure Function6.578 x SpringNeap Ebb Flood Red line: Best fit Blue line: x=y Red line: Best fit Blue line: x=y