Papers in Meteorology and Geophysics
Online ISSN : 1880-6643
Print ISSN : 0031-126X
ISSN-L : 0031-126X
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An unsteady extension of Bernoulli's theorem
Hirotada Kanehisa
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1999 Volume 49 Issue 2 Pages 29-32

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Abstract
   An unsteady extension of Bernoulli's theorem is presented. For steady flows, the derivative of the Bernoulli function in the normal direction perpendicular both to the streamline and the gradient of potential temperature becomes equal to the product of the flow speed and the binormal component of absolute vorticity. Even for unsteady flows, the same formula holds except that the absolute vorticity is replaced by the sum of the absolute vorticity and the local rotation rate of velocity.
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© 1999 by Japan Meteorological Agency / Meteorological Research Institute
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