Saffman lift force

E167642

The Saffman lift force is a hydrodynamic force acting on small particles in shear flow, causing them to migrate laterally due to velocity gradients in the surrounding fluid.

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Saffman lift force canonical 1

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Predicate Object
instanceOf fluid mechanics concept
hydrodynamic force
lift force
actsOn small particles
appliesTo non-Brownian particles in many derivations
particles smaller than the smallest flow length scale
assumes creeping flow regime
nearly spherical particles
category non-inertial lift mechanism
particle–fluid interaction force
cause lateral migration of particles
dependsOn fluid density
fluid viscosity
particle diameter
relative slip velocity between particle and fluid
velocity gradient in the surrounding fluid
derivedUnder Stokes flow approximation around the particle
linear shear flow assumption
direction perpendicular to local flow direction
perpendicular to local shear gradient
field aerosol dynamics
microfluidics
particle-laden flows
suspension mechanics
turbulent dispersion modeling
firstDescribedIn Journal of Fluid Mechanics
firstPublishedIn 1965
hasLimitation less accurate for highly non-spherical particles
less accurate for large particle Reynolds numbers
influences cross-streamline migration of particles
particle dispersion in turbulent shear flows
particle focusing in channel flows
mathematicallyDescribedBy Saffman’s 1965 asymptotic solution for lift on a small sphere in shear flow
namedAfter Philip G. Saffman
surface form: Philip Geoffrey Saffman
occursIn shear flow
proportionalTo fluid density
fluid viscosity to the power 1/2
particle diameter squared
slip velocity between particle and fluid
square root of shear rate magnitude
relatedTo Magnus lift force
Segré–Silberberg effect
inertial migration of particles
usedIn design of microfluidic separation devices
modeling of particle migration in shear flows
prediction of particle trajectories in boundary layers
validFor low shear Reynolds number
small particle Reynolds number

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Philip G. Saffman hasNotableConcept Saffman lift force