ON THE VERTICAL CIRCULATION PRODUCED BY RELEASE OF LATENT HEAT IN A STATIC AND QUASI-GEOSTROPHIC ATMOSPHERE
Abstract
The hydrostatic and the quasi-geostrophic approxi ations are used to obtain a diagnostic equation for the vertical velocity, the re ulting equation being linear. The velocity is divided into two parts, t e first corresponding to dryadiabatic processes, an the second part representing the additional motion t at can be ascribe release of latent heat. The differential equation which describes this additional motion is hyperbolic within the region corresponding to a conditionally stable atmosphere. By assuming that the horizontal scale of the area that experiences condensation is independent of pressure, the differential equation re uces to a one-dimensional one, and its solution is obtained by relaxation even in the hyperbolic region. The vertical velocity is obtained also by an iterative procedure, leading to a converging infinite series in which each term is determined from an elliptic differential equation, and the tw ethods are found to yield the same results. The vertical velocity produced by release of latent heat is found to vary strongly with the state of the air and with the horizontal scale within which condensation takes place. It is found that the sat rated-adiabatic process may amplify the large-scale upward motions y as much as an or er of magnitude. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1961
- Accession Number
- AD0260974
Entities
People
- Kaare Pedersen