Taylor–Proudman theorem
E638888
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Taylor–Proudman theorem canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T7051674 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Taylor–Proudman theorem Context triple: [G. I. Taylor, knownFor, Taylor–Proudman theorem]
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A.
Bjerknes circulation theorem (applications in meteorology)
The Bjerknes circulation theorem is a fundamental principle in meteorology that relates changes in atmospheric circulation to forces such as pressure gradients and heating, forming a basis for understanding large-scale weather systems and cyclogenesis.
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B.
Ekman layer
The Ekman layer is the thin region of fluid near a boundary (such as the ocean surface or seafloor) where the balance between friction and the Coriolis effect causes the flow to spiral with depth.
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C.
Saffman
Saffman is a surname most notably associated with Philip G. Saffman, a prominent British-American applied mathematician and fluid dynamicist.
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D.
Ertel potential vorticity theorem
The Ertel potential vorticity theorem is a fundamental result in geophysical fluid dynamics that states potential vorticity is materially conserved for an inviscid, adiabatic flow, making it a key tool for understanding large-scale atmospheric and oceanic motions.
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E.
Ekman transport
Ekman transport is an oceanographic process in which wind-driven surface waters move at an angle to the wind direction due to the Coriolis effect, causing net water transport perpendicular to the wind.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Taylor–Proudman theorem Target entity description: 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.
-
A.
Bjerknes circulation theorem (applications in meteorology)
The Bjerknes circulation theorem is a fundamental principle in meteorology that relates changes in atmospheric circulation to forces such as pressure gradients and heating, forming a basis for understanding large-scale weather systems and cyclogenesis.
-
B.
Ekman layer
The Ekman layer is the thin region of fluid near a boundary (such as the ocean surface or seafloor) where the balance between friction and the Coriolis effect causes the flow to spiral with depth.
-
C.
Saffman
Saffman is a surname most notably associated with Philip G. Saffman, a prominent British-American applied mathematician and fluid dynamicist.
-
D.
Ertel potential vorticity theorem
The Ertel potential vorticity theorem is a fundamental result in geophysical fluid dynamics that states potential vorticity is materially conserved for an inviscid, adiabatic flow, making it a key tool for understanding large-scale atmospheric and oceanic motions.
-
E.
Ekman transport
Ekman transport is an oceanographic process in which wind-driven surface waters move at an angle to the wind direction due to the Coriolis effect, causing net water transport perpendicular to the wind.
- F. None of above. chosen
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 ⓘ
linked to:
Rossby number
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
ⓘ
linked to:
Ekman number
|
| 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
ⓘ
linked to:
G. I. Taylor
Joseph Proudman ⓘ |
| relatedTo |
Coriolis effect
ⓘ
Proudman–Taylor columns ⓘ Taylor columns ⓘ 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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Taylor–Proudman theorem Description of subject: 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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.