hydrostatic equation

From Glossary of Meteorology


The form assumed by the vertical component of the vector equation of motion when all Coriolis, earth curvature, frictional, and vertical acceleration terms are considered negligible compared with those involving the vertical pressure force and the force of gravity.
Thus

ams2001glos-He24

where p is the pressure, ρ the density, g the acceleration of gravity, and z the geometric height. For cyclonic-scale motions the error committed in applying the hydrostatic equation to the atmosphere is less than 0.01%. Strong vertical accelerations in thunderstorms and mountain waves may be 1% of gravity or more in extreme situations.


ecuación hidrostática[edit | edit source]

La forma que toma el componente vertical de la ecuación vectorial de movimiento cuando todos los términos de Coriolis, curvatura de tierra, fricción y aceleración vertical se consideran insignificantes en comparación con los que involucran la fuerza de presión vertical y la fuerza de gravedad.

Así,

ams2001glos-He24

donde p es la presión, ρ la densidad, g la aceleración gravitacional y z la altura geométrica. Para movimientos de escala ciclónica, el error cometido al aplicar la ecuación hidrostática a la atmósfera es menor que 0.01 %. Las aceleraciones verticales fuertes en tormentas eléctricas y ondas de montaña pueden ser del 1 % de la gravedad o más en situaciones extremas.

Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact [email protected]. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.