Skip to main content
SpringerLink
Log in

Fundamental energy relations in the theory of compensation of non-equilibrium states in the earth's atmosphere

  • Published:
Studia Geophysica et Geodaetica Aims and scope Submit manuscript

Summary

The paper presents, in a condensed form, the fundamentals of global atmospheric energetics that have a bearing on the linear theory of compensation of non-equilibrium states in the Earth's atmosphere. The author introduces a new coordinate system with the vertical coordinate φ*=Z*/T*, which suits global atmospheric energetice.

The relation between the energetics of the atmospheric system as a whole and the „mean energetics level“ (MEL) is shown. Contrary to what has been assumed so far, it is proved that this level is neither an isopycnic level nor a physical surface, where ∂ϱ*/∂t=0 applies everywhere.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

x, y, z :

space coordinates in thez-system

x, y, φ :

space coordinates in the φ-system

t :

time

p, T, г :

pressure, thermodynamic temperature and air density

p*, T*,г :

pressure, temperature, density and geopotential on the mean energy level

g :

acceleration of the Earth's gravity

c p,c v,R:

specific temperature under constant pressure, volume and specific gas constant

κ = c p/c v :

Poisson's constant

E k,Ev,Ep :

kinetic, internal and potential energies of the atmospheric system

r'(x,y):

correction function to inhomogeneous atmosphere

v, v n :

magnitude of motion velocity, magnitude of the normal component of velocity

O, S, S 0 :

volume of the whole atmospheric system, surface limiting volumeO and the Earth's surface

Z S :

height of surfaceS

β:

arbitrary scalar quantity

▽H,г :

horizontal differential operators in thez- andp-systems

References

  1. E. P. Borisenkov: Voprosy energetiky atmosfernych protsessov. Gidromet. izd., Leningrad 1960.

    Google Scholar 

  2. S. Brandejs: Úvod do početní předpovědi počasí. Travaux Inst. Géophys. Acad. Tchécosl. Sci. No 61, Geofysikální sborník 1957, NČSAV, Praha 1958.

  3. D. Brunt: Physical and Dynamical Meteorology. 1. vydání Cambridge 1934.

  4. W. H. Dines: The Vertical Distribution of Temperature in the Work Required to Alter it. Quart. Jour. R. Meteor. Soc. 167 (1913), 183.

    Google Scholar 

  5. L. S. Gandinakol.: Osnovy dinamičeskoj meteorologii. Gidromet. izdat., Leningrad 1955.

  6. F. Pechala: Linear Theory of Compensation of Non-Equilibrium States in the Earth's Atmosphere. Rozpravy NČSAV, řada mat. a přírod. věd, ročník 94, sešit 7, Academia Praha 1984.

  7. M. Škoda, O. Zikmunda: Objektivní metody v synoptické meteorologii. Hydrometeorologický ústav, Praha 1966.

Download references

Author information

Authors and Affiliations

  1. Institute of Physics of the Atmosphere, Czechosl. Acad. Sci., Prague

    František Pechala

Authors
  1. František Pechala
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Corresponding Member Vojtěch Vítek, Director of the Institute of Physics of the Atmosphere of the Czechoslovak Academy of Sciences, at the occasion of his sixtieth birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pechala, F. Fundamental energy relations in the theory of compensation of non-equilibrium states in the earth's atmosphere. Stud Geophys Geod 33, 391–404 (1989). https://doi.org/10.1007/BF01637692

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01637692

Keywords

Search

Navigation