Navier boundary condition

E680771

boundary condition fluid mechanics concept partial slip boundary condition

The Navier boundary condition is a fluid mechanics boundary condition that allows for partial slip of a fluid along a solid surface, relating the tangential velocity at the boundary to the shear stress via a slip length.

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Statements (48)

Predicate	Object
instanceOf	boundary condition ⓘ fluid mechanics concept ⓘ partial slip boundary condition ⓘ
appliesIn	Navier–Stokes equations NERFINISHED ⓘ Stokes flow ⓘ
appliesTo	solid–fluid interface ⓘ viscous fluid flow ⓘ
assumes	Newtonian fluid behavior near the wall ⓘ local linear response at the wall ⓘ proportionality between slip velocity and shear rate at wall ⓘ
category	boundary conditions for Navier–Stokes equations ⓘ
characterizes	partial slip of fluid along a solid surface ⓘ
contrastsWith	free-slip boundary condition ⓘ no-slip boundary condition ⓘ
describes	linear relation between tangential velocity and shear stress ⓘ
field	continuum mechanics ⓘ fluid mechanics ⓘ
hasDimension	slip length has dimension of length ⓘ
hasMathematicalForm	u_t = b (∂u_t/∂n) ⓘ
implies	finite tangential velocity at solid surface ⓘ
introducedIn	19th century ⓘ
involves	slip length ⓘ
isGeneralizationOf	no-slip boundary condition ⓘ
isRelevantFor	Knudsen layer corrections in gas flows ⓘ boundary layer analysis with slip ⓘ drag reduction studies ⓘ flow over superhydrophobic surfaces ⓘ microchannel flow modeling ⓘ
namedAfter	Claude-Louis Navier NERFINISHED ⓘ
parameterizedBy	slip length ⓘ
reducesTo	no-slip condition when slip length is zero ⓘ perfect slip limit when slip length tends to infinity ⓘ
relates	shear stress at boundary ⓘ tangential velocity at boundary ⓘ
usedFor	modeling slip at liquid–gas interfaces ⓘ modeling slip in porous media ⓘ modeling slip on hydrophobic surfaces ⓘ modeling slip on textured surfaces ⓘ
usedIn	computational fluid dynamics NERFINISHED ⓘ lubrication theory ⓘ microfluidics ⓘ nanofluidics ⓘ rheology ⓘ slip-flow modeling in rarefied gases ⓘ
usedToModel	deviation from classical no-slip behavior ⓘ
where	b denotes slip length ⓘ u_t denotes tangential velocity at the wall ⓘ ∂u_t/∂n denotes normal derivative of tangential velocity ⓘ

Referenced by (4)

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

Navier → associatedWith → Navier boundary condition ⓘ

Navier → hasEponym → Navier boundary condition ⓘ

Claude-Louis → notableConcept → Navier boundary condition ⓘ

subject surface form: Claude-Louis Navier

Navier → notableFor → Navier boundary condition ⓘ

subject surface form: Claude-Louis Navier