Shields number

E902444

The Shields number is a dimensionless parameter in sediment transport that characterizes the initiation of particle motion on a bed under fluid flow by relating shear stress to the submerged weight of the particles.

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Label Occurrences
Shields number canonical 1

Statements (48)

Predicate Object
instanceOf dimensionless number
sediment transport parameter
alsoKnownAs Shields criterion NERFINISHED
Shields parameter
appliesTo bed material in open-channel flow
noncohesive sediment
subaqueous sediment beds
assumes uniform sediment size in basic form
characterizes incipient motion of bed particles
initiation of sediment motion
threshold of sediment transport
criticalValueDependsOn bed roughness regime
particle Reynolds number
definedAs ratio of bed shear stress to submerged specific weight of sediment times particle diameter
dependsOn bed shear stress
fluid density
gravitational acceleration
particle density
particle diameter
dimension dimensionless
field coastal engineering
fluid mechanics
fluvial geomorphology
hydraulics
sediment transport
introducedBy Albert F. Shields NERFINISHED
introducedIn 1936
mathematicalForm θ = τ / [(ρ_s − ρ) g d]
namedAfter Albert F. Shields NERFINISHED
publicationContext experiments on incipient motion of sediment in open channels
relatedTo Shields diagram
critical Shields parameter
particle Reynolds number
relates bed shear stress to submerged particle weight
typicalSymbol θ
τ*
usedFor channel stability analysis
design of hydraulic structures
predicting onset of bedload transport
river engineering calculations
sediment mobility assessment
usedWith Shields curve
dimensionless shear stress
variable d
g
ρ
ρ_s
τ

Referenced by (1)

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

Shields parameter alsoKnownAs Shields number