Stokes' law

E155869

Stokes' law is a fundamental equation in fluid dynamics that describes the drag force experienced by small spherical particles moving slowly through a viscous fluid.

All labels observed (3)

Label Occurrences
Stokes' law canonical 3
Stokes law 1
Stokes' law of viscosity 1

How this entity was disambiguated

Statements (47)

Predicate Object
instanceOf law of fluid dynamics
physical law
appliesTo creeping flow
laminar flow
low Reynolds number flow
small spherical particles
approximationOf solution of Navier–Stokes equations for creeping flow around a sphere
assumes Newtonian fluid
Reynolds number much less than 1
incompressible fluid
isolated particle (no interactions)
no-slip boundary condition at particle surface
steady flow
describes drag force on a sphere in a viscous fluid
field continuum mechanics
fluid dynamics
rheology
gives drag force F = 6 π μ r v
historicalPublicationYear 1851 (derivation by George Gabriel Stokes)
limitation assumes rigid, perfectly spherical particles
does not account for particle-particle interactions
does not account for turbulence
inaccurate at moderate or high Reynolds numbers
namedAfter George Stokes
surface form: George Gabriel Stokes
parameter dynamic viscosity μ
particle radius r
particle speed v
relatedTo Navier–Stokes equations
Reynolds number
Stokes flow
drag coefficient
terminal velocity
relates drag force to fluid viscosity
drag force to particle radius
drag force to particle velocity
usedFor determining terminal settling velocity of particles
particle size estimation
viscosity measurement
usedIn aerosol physics
biophysics
chemical engineering
colloid science
environmental engineering
sedimentation analysis
validWhen flow is laminar
particle motion is slow
particle size is small compared to characteristic length scales of flow

How these facts were elicited

Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

George Stokes knownFor Stokes' law
subject surface form: George Gabriel Stokes
George Stokes notableConcept Stokes' law
subject surface form: George Gabriel Stokes
this entity surface form: Stokes' law of viscosity
Stokes knownFor Stokes' law
subject surface form: George Gabriel Stokes
Stokes hasEponym Stokes' law
George Gabriel notableWork Stokes' law
subject surface form: George Gabriel Stokes
this entity surface form: Stokes law