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.

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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 ⓘ
Kelvin circulation theorem ⓘ
linked to: Euler equations

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 ⓘ

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Jacob Bjerknes → developedConcept → Bjerknes circulation theorem (applications in meteorology) ⓘ