Bjerknes circulation theorem (applications in meteorology)
E122342
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Bjerknes circulation theorem (applications in meteorology) canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1007917 — 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.
Target entity: Bjerknes circulation theorem (applications in meteorology) Context triple: [Jacob Bjerknes, developedConcept, Bjerknes circulation theorem (applications in meteorology)]
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A.
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.
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B.
Navier–Stokes equations
The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
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C.
Euler equations
The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
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D.
Einstein bed-load function
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.
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E.
Lax equivalence theorem
The Lax equivalence theorem is a fundamental result in numerical analysis stating that for a well-posed linear initial value problem, consistency and stability of a finite difference scheme together imply its convergence.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Bjerknes circulation theorem (applications in meteorology) Target entity description: 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.
-
A.
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.
-
B.
Navier–Stokes equations
The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
-
C.
Euler equations
The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
-
D.
Einstein bed-load function
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.
-
E.
Lax equivalence theorem
The Lax equivalence theorem is a fundamental result in numerical analysis stating that for a well-posed linear initial value problem, consistency and stability of a finite difference scheme together imply its convergence.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
meteorological principle
ⓘ
physical law ⓘ theorem in fluid dynamics ⓘ |
| appliesTo |
baroclinic atmosphere
ⓘ
cyclogenesis ⓘ frontogenesis ⓘ large-scale atmospheric motions ⓘ midlatitude cyclones ⓘ synoptic-scale weather systems ⓘ tropical cyclones ⓘ |
| assumes |
continuum fluid
ⓘ
differentiable velocity field ⓘ |
| contributesTo |
understanding of frontal cyclones
ⓘ
understanding of jet stream dynamics ⓘ understanding of storm track behavior ⓘ |
| describes | evolution of circulation in a moving fluid ⓘ |
| field |
atmospheric dynamics
ⓘ
geophysical fluid dynamics ⓘ meteorology ⓘ |
| foundationFor |
Bergen school of meteorology cyclone model
ⓘ
potential vorticity thinking in meteorology ⓘ quasi-geostrophic theory ⓘ theory of baroclinic instability ⓘ |
| generalizes | Kelvin circulation theorem to baroclinic fluids ⓘ |
| historicalPeriod | early 20th century ⓘ |
| involves |
Coriolis force in rotating atmosphere
ⓘ
diabatic heating ⓘ gravitational force ⓘ line integral of velocity around a closed contour ⓘ material contour moving with the fluid ⓘ pressure gradient force ⓘ |
| mathematicalFormulation | time derivative of circulation equals integral of baroclinic and body-force terms around contour ⓘ |
| namedAfter | Vilhelm Bjerknes ⓘ |
| relatedTo |
Ertel potential vorticity theorem
ⓘ
Euler equations ⓘ
surface form:
Kelvin circulation theorem
vorticity equation in meteorology ⓘ |
| relates |
circulation changes to body forces
ⓘ
circulation changes to heating ⓘ circulation changes to pressure gradients ⓘ rate of change of circulation to external forces ⓘ |
| taughtIn |
advanced synoptic meteorology courses
ⓘ
dynamic meteorology courses ⓘ |
| usedFor |
conceptual basis of modern synoptic meteorology
ⓘ
diagnosing circulation changes in weather systems ⓘ explaining intensification of cyclones ⓘ explaining role of heating in cyclone development ⓘ linking diabatic heating to vorticity changes ⓘ understanding development of low-pressure systems ⓘ |
How these facts were elicited
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Subject: Bjerknes circulation theorem (applications in meteorology) Description of subject: 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.
Referenced by (1)
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