Equations of Hydro-and Thermodynamics of the Atmosphere when Inertial Forces Are Small in Comparison with Gravity

Hydrodynamic and thermodynamic equations for the atmosphere are considered in the meteorological and climatic scales in which the inertial forces are negligibly small in comparison with gravity. In this case, the inertia of the horizontal velocity and temperature has an effect. For such a vertically...

Full description

Saved in:
Bibliographic Details
Published in:Fluid dynamics 2018-12, Vol.53 (Suppl 1), p.S121-S130
Main Author: Nigmatulin, R. I.
Format: Article
Language:English
Subjects:
Analysis
Classical and Continuum Physics
Classical Mechanics
Engineering Fluid Dynamics
Fluid- and Aerodynamics
Gravitation
Inertia
Mathematical analysis
Physics
Physics and Astronomy
Specific gravity
Thermodynamics
Velocity
Velocity distribution
Vertical distribution
Weather
Weight
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Hydrodynamic and thermodynamic equations for the atmosphere are considered in the meteorological and climatic scales in which the inertial forces are negligibly small in comparison with gravity. In this case, the inertia of the horizontal velocity and temperature has an effect. For such a vertically quasi-static flow, an equation for the vertical velocity distribution asymptotically exact in density, temperature, and horizontal velocity is obtained. A closed system of hydro- and thermodynamic equations is presented in which the pressure at each point is determined by the weight of the air column above this point. It is this system of equations that should be used to calculate the climatic and meteorological processes in which the inertia of the horizontal velocity and the inertialess vertical velocity play an essential role.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462818040201