Einstein bed-load function
E47293
The Einstein bed-load function is a seminal hydraulic engineering formula developed by Hans Albert Einstein to predict the transport rate of sediment particles rolling and sliding along a riverbed under flowing water.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| The bed-load function for sediment transportation in open channel flows | 1 |
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
bed-load transport function
ⓘ
hydraulic engineering formula ⓘ sediment transport formula ⓘ |
| appliesTo |
bed-load transport in open-channel flow
ⓘ
coarse non-cohesive sediment ⓘ sediment particles rolling and sliding along a riverbed ⓘ |
| assumes |
steady uniform flow
ⓘ
uniform sediment size ⓘ wide channel approximation ⓘ |
| basedOn |
dimensionless analysis
ⓘ
probabilistic approach to particle motion ⓘ |
| category | empirical–theoretical sediment transport relation ⓘ |
| describedIn | Einstein’s 1950 sediment transport monograph ⓘ |
| developer | Hans Albert Einstein ⓘ |
| field |
fluvial hydraulics
ⓘ
hydraulic engineering ⓘ sediment transport ⓘ |
| hasLimitation |
less accurate for highly unsteady flows
ⓘ
less accurate for strongly non-uniform sediment mixtures ⓘ |
| hasVariable |
dimensionless bed-load parameter Φ
ⓘ
dimensionless shear stress τ* ⓘ |
| influenced | subsequent bed-load transport formulas ⓘ |
| involves |
bed shear stress
ⓘ
critical shear stress for incipient motion ⓘ dimensionless shear stress ⓘ kinematic viscosity of water ⓘ particle diameter ⓘ specific weight of sediment ⓘ transport intensity parameter ⓘ |
| languageOfOriginalPublication | German ⓘ |
| namedAfter | Hans Albert Einstein ⓘ |
| notableFor | being one of the earliest probabilistic bed-load transport theories ⓘ |
| purpose |
predict bed-load transport rate
ⓘ
relate sediment transport rate to hydraulic and sediment parameters ⓘ |
| relatedTo |
Meyer-Peter–Müller bed-load formula
ⓘ
Shields curve ⓘ |
| relates | dimensionless bed-load transport rate to excess shear stress ⓘ |
| timePeriod | mid-20th century ⓘ |
| usedIn |
channel stabilization studies
ⓘ
design of hydraulic structures ⓘ river engineering design ⓘ sediment management in rivers ⓘ |
| usesConcept |
Shields parameter
ⓘ
dimensionless bed-load transport rate ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
The bed-load function for sediment transportation in open channel flows