Saffman–Taylor instability

E167641

fluid dynamics phenomenon hydrodynamic instability interfacial instability

The Saffman–Taylor instability is a fluid dynamics phenomenon in which a less viscous fluid penetrating a more viscous one in a confined geometry leads to finger-like interfacial patterns, often called viscous fingering.

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All labels observed (1)

Label	Occurrences
Saffman–Taylor instability canonical	2

Statements (50)

Predicate	Object
instanceOf	fluid dynamics phenomenon ⓘ hydrodynamic instability ⓘ interfacial instability ⓘ
alsoKnownAs	viscous fingering ⓘ
boundaryCondition	continuity of normal stress at the interface ⓘ surface tension at the interface ⓘ
characterizedBy	Péclet number in miscible analogues ⓘ dimensionless capillary number ⓘ
dependsOn	gap thickness in a Hele–Shaw cell ⓘ injection rate of the displacing fluid ⓘ interfacial tension ⓘ viscosity ratio of the two fluids ⓘ
discoveredBy	G. I. Taylor ⓘ surface form: Geoffrey Ingram Taylor Philip G. Saffman ⓘ surface form: Philip Geoffrey Saffman
field	fluid dynamics ⓘ hydrodynamics ⓘ
governingEquations	Darcy’s law ⓘ Laplace equation for pressure in each fluid ⓘ incompressible Stokes flow approximation ⓘ
hasApplication	CO2 sequestration in porous formations ⓘ chromatography ⓘ enhanced oil recovery ⓘ groundwater contamination spreading ⓘ microfluidics ⓘ pattern formation studies ⓘ
hasCause	displacement of a more viscous fluid by a less viscous fluid ⓘ viscosity contrast between two immiscible fluids ⓘ
hasEffect	formation of finger-like patterns at the fluid interface ⓘ growth of viscous fingers ⓘ interfacial pattern formation ⓘ
isTypeOf	interfacial pattern-forming instability ⓘ viscous instability ⓘ
leadsTo	fractal-like displacement patterns in porous media ⓘ
namedAfter	G. I. Taylor ⓘ surface form: Geoffrey Ingram Taylor Philip G. Saffman ⓘ surface form: Philip Geoffrey Saffman
occursIn	Hele–Shaw cell ⓘ confined geometry ⓘ porous media ⓘ radial injection flows ⓘ
relatedTo	Stefan problem ⓘ surface form: Laplacian growth Mullins–Sekerka instability ⓘ Rayleigh–Taylor instability ⓘ diffusion-limited aggregation ⓘ
stabilizedBy	increasing surface tension ⓘ reducing injection rate ⓘ reversing viscosity contrast ⓘ
studiedUsing	Hele–Shaw cell ⓘ surface form: Hele–Shaw experiments linear stability analysis ⓘ numerical simulations of Darcy flow ⓘ
yearProposed	1958 ⓘ

Referenced by (2)

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

Philip G. Saffman → hasNotableConcept → Saffman–Taylor instability ⓘ

Saffman → notableFor → Saffman–Taylor instability ⓘ

subject surface form: Philip G. Saffman