𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the vertical velocity in an isentropic layer

✍ Scribed by W. T. M. Verkley

Book ID
104576441
Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
683 KB
Volume
126
Category
Article
ISSN
0035-9009

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✦ Synopsis

Abstract

We investigate the dynamics of an isentropic layer of air, governed by the hydrostatic primitive equations. In such a layer the horizontal velocity is independent of height if this is assumed to be the case at some initial time. From the mass‐conservation equation in pressure coordinates it follows that Ο‰, the material derivative of the pressure, varies linearly with pressure. From the mass‐conservation equation in height coordinates the vertical velocity Ο‰ is obtained. The resulting expression is shown to be in accordance with Richardson's equation for the vertical velocity in a general hydrostatic atmosphere, when particularized to an isentropic layer.

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