Particle Settling Velocity Put particle in a still fluid… what happens? Speed at which particle settles depends on: particle properties: D, ρ s , shape fluid properties: ρ f , μ, Re. F d. F g. STOKES Settling Velocity Assumes: spherical particle laminar settling Gravity:
Particle Settling Velocity
Put particle in a still fluid… what happens?
Speed at which particle settles depends on:
particle properties: D, ρs, shape
fluid properties: ρf, μ, Re
STOKES Settling Velocity
Assumes: spherical particle
At terminal velocity,
Fg = Fd
Solve for Ws,
Stokes Region: WsD/ < 1 Laminar
Shape close to a sphere
What if turbulent?
Cd = f (ν, D, ρ) - turbulent
Cd = 24/Re - laminar
SF = 1
SF < 1
Turbulent part of the curve:
Gibbs formulation –
use for spheres 0.0063 cm < D < 1.0 cm
Laminar (Stokes) vs. Turbulent (Gibbs) settling
For a 0.01 mm particle:
How long to settle through 10 m of water column?
Size (D)Ws (Stokes)Time(S) Time(G)
sand1 mm64 cm/s16 sec 1.1 min
very fine sand0.1 mm0.64 cm/s26 min 28.2 min
Silt0.01 mm0.0064 cm/s43 hrs
Clay0.001 mm0.000064 cm/s180 days
What we see:
“Observations of suspended sediment concentration collected around the mouths of rivers around the globe provide clear support for the hypothesis that mud and sand both sink rapidly from discharge plumes” Hill et al, in press
“After a large flood, more than 80% of the flood sediment could be accounted for in water depths of less than 50 m at distances less than 20 km from the river mouths. Given that currents typically fall in the range of 10-20 cm/s, these observations suggest that particles must have been sinking at speeds of approximately 0.1 mm/s which is typical of medium silts and exceeds settling velocity of clay particles by an order of magnitude” Drake et al., 1972
Settling Camera :
Particles have a tendency to form aggregates:
Larger particles (settle faster)
Lower density (settle slower)
According to: Physio-chemical factors in particle aggregation, Johnson et al.
Aggregation applies to the general process of formation of larger particles from the collision of smaller particles.
Flocculation refers to aggregation when the bonding agent that holds particles together is a high molecular weight polymer that operates through inter-particle bridging.
Coagulation describes the process of aggregation in which primary particles are destabilized by charge neutralization through double layer compression.
But … in Oceanography the terms are used interchangeably to mean the formation of larger particles from smaller.
At ~ 10 – 20 g/l (10 - 20 ppm of flocculated sediment) hindered settling occurs