Taylor–Proudman theorem

E638888

result in fluid dynamics result in geophysical fluid dynamics theorem

The Taylor–Proudman theorem is a fundamental result in geophysical fluid dynamics stating that in a rapidly rotating, inviscid, incompressible fluid, steady flows tend to be uniform along the axis of rotation, leading to columnar motion.

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Statements (39)

Predicate	Object
instanceOf	result in fluid dynamics ⓘ result in geophysical fluid dynamics ⓘ theorem ⓘ
appliesTo	incompressible fluids ⓘ inviscid fluids ⓘ rapidly rotating fluids ⓘ steady flows ⓘ
assumes	Coriolis force dominates inertial forces ⓘ Rossby number is small NERFINISHED ⓘ incompressibility ⓘ negligible viscosity ⓘ steady flow conditions ⓘ
category	theorems in fluid mechanics ⓘ theorems in geophysics ⓘ
concernsQuantity	velocity field ⓘ
conclusion	flow is invariant in the direction of the rotation vector ⓘ velocity does not vary along the rotation axis ⓘ
describes	constraint imposed by rapid rotation on fluid motion ⓘ
field	geophysical fluid dynamics ⓘ rotating fluid dynamics ⓘ
holdsWhen	Ekman number is small away from boundary layers NERFINISHED ⓘ
implies	columnar motion aligned with the rotation axis ⓘ two-dimensionalization of flow in planes perpendicular to the rotation axis ⓘ
influences	interpretation of large-scale atmospheric flows ⓘ interpretation of large-scale oceanic flows ⓘ
mathematicalForm	Coriolis term balances pressure gradient in the momentum equations ⓘ derivative of velocity along rotation axis is approximately zero ⓘ
namedAfter	Geoffrey Ingram Taylor NERFINISHED ⓘ Joseph Proudman NERFINISHED ⓘ
relatedTo	Coriolis effect NERFINISHED ⓘ Proudman–Taylor columns NERFINISHED ⓘ Taylor columns NERFINISHED ⓘ geostrophic balance ⓘ quasi-geostrophic theory ⓘ
statesThat	steady flow in a rapidly rotating inviscid incompressible fluid is uniform along the axis of rotation ⓘ
usedIn	atmospheric dynamics ⓘ laboratory rotating tank experiments ⓘ ocean dynamics ⓘ planetary core dynamics ⓘ

Referenced by (1)

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G. I. Taylor → knownFor → Taylor–Proudman theorem ⓘ