Solenoid

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solenoid

A tube formed in space by the intersection of unit-interval isotimic surfaces of two scalar quantities.

The number of solenoids enclosed by a space curve is therefore equal to the flux of the vector product of the two gradients through a surface bounded by the curve, or
ams2001glos-Se37
where ds is the vector element of area of a surface bounded by the given curve. Solenoids formed by the intersection of surfaces of equal pressure and density are frequently referred to in meteorology. A barotropic atmosphere implies the absence of solenoids of this type, since surfaces of equal pressure and density coincide.
See also baroclinity, vorticity equation, circulation theorem.

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