Turbulence effects on particle dispersion in a free-surface flow

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Presentation transcript:

Turbulence effects on particle dispersion in a free-surface flow Salvatore Lovecchio, Cristian Marchioli, Alfredo Soldati Università degli Studi di Udine Dipartimento di Ingegneria Elettrica Gestionale e Meccanica

Motivation Oceanographical applications Dispersion of drifters or floaters Motion of phytoplankton Settling of organic and inorganic matter

Outline of the Presentation Physical Problem and Modelling Approach Part 1: Flow at surface 1.1 Energy spectra 1.2 Structures at surface Part 2: Particles segregation 2.1 Surface divergence 2.2 Intermittency in clustering 2.3 Time scales Conclusions and future developments

Physical Problem and Modelling Approach Free-slip wall No-slip wall 3D turbulent water flow field at shear Reynolds number: Re= 171, 509 Channel size: Lx x Ly x Lz = 4 h x 2 h x 2h Pseudo-spectral DNS: Fourier modes (1D FFT) in the homogeneous directions (x and y)‏, Chebyschev coefficients in the wall-normal direction (z)‏ Time intergration: Adams-Bashforth (convective terms), Crank-Nicolson (viscous terms)

Physical Problem and Modelling Approach Free-slip wall No-slip wall 3D turbulent water flow field at shear Reynolds number: Re=171, 510 Channel size: Lx x Ly x Lz = 4 h x 2 h x 2h Pseudo-spectral DNS: Fourier modes (1D FFT) in the homogeneous directions (x and y)‏, Chebyschev coefficients in the wall-normal direction (z)‏ Time intergration: Adams-Bashforth (convective terms), Crank-Nicolson (viscous terms)

Physical Problem and Modelling Approach Physical Problem and Modelling Approach

1. Flow at surface Komori et al. : [...] Large fraction of the Near-wall burtsting events result in surface renewal events [...] JFM (1989)

1. Flow at surface Komori et al. : [...] Large fraction of the Near-wall burtsting events result in surface renewal events [...] JFM (1989) Streamwise energy spectrum of the streamwise velocity

1. Flow at surface Streamwise energy spectrum of the spanwise velocity Komori et al. : [...] Large fraction of the Near-wall burtsting events result in surface renewal events [...] JFM (1989) Streamwise energy spectrum of the spanwise velocity

2. Particles segregation

2. Particles segregation + y + y + + x x

Intermittency is due to near-bottom turbulence 3. Surface cluster renewal Clustering is intermittent Upwellings + y Intermittency is due to near-bottom turbulence + x

Intermittency is due to near-bottom turbulence 3. Surface cluster renewal Clustering is intermittent Upwellings + y Intermittency is due to near-bottom turbulence x

3. Cluster renewal Lagrangian time scale: Flow time scale Structures at Surface persiste for long time!!

3. Correlation Dimension Fractal dimension of cluster

3. Correlation Dimension Fractal dimension of cluster Particles distributed uniformly over surface:

3. Correlation Dimension Fractal dimension of cluster Particles distributed uniformly over surface: uniformly into a line:

3. Correlation Dimension Fractal dimension of cluster Particles distributed uniformly over surface: uniformly into a line: Generally:

3. Correlation Dimension Fractal dimension of cluster

3. Forcing at surface: the effect of wind A:WIND opposite the direction of flow A Mean streamwise velocity

3. Forcing at surface: the effect of wind B:WIND in the same direction of flow B Mean streamwise velocity

4. Conclusion and Future Developments It was perfomed DNS of open channel flow at Re =171 e Re=509 Flow at surface was characterised by energy spectra and lagrangian time scale (LTS) Particles tend to cluster into fractal structures with correlation dimension less than one The segregation at surface is intermittent (cluster surface renewal) due to bursts of bottom layer turbulence and cluster have life-time greater than LTS

Thank you for your kind attention