Basic equations

  • Masaki Satoh
Part of the Springer Praxis Books book series (PRAXIS)


Many characteristics of atmospheric general circulation, particularly mid-latitude circulation, are described by the equations for dry air, where air that contains no water vapor is referred to as dry air. This chapter summarizes the basic physical properties of dry air. Most of the contents in this chapter are general characteristics of fluid dynamics, and are not necessarily specific to atmospheric motions. However, the basic equations described in this chapter are frequently invoked for consideration of atmospheric circulations, and are used in the following chapters.


Angular Momentum Potential Temperature Potential Vorticity Inertial Frame Thermodynamic Variable 
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References and suggested reading

  1. Batchelor, G. K., 1967: Fluid Dynamics. Cambridge University Press, Cambridge, UK, 615 pp.Google Scholar
  2. de Groot, S.R. and Mazur, P., 1984: Non-equilibrium thermodynamics. Dover, New York, 510 pp.Google Scholar
  3. Landau, L. and Lifshitz, E.M., 1987: Fluid Mechanics, 2nd ed. Butterworth- Heinemann, Oxford, UK, 539 pp.Google Scholar
  4. Pedlosky, J., 1987: Geophysical Fluid Dynamics, 2nd ed. Springer-Verlag, New York, 710 pp.Google Scholar
  5. Salmon, R., 1998: Lectures on Geophysical Fluid Dynamics. Oxford University Press, New York, 378 pp.Google Scholar
  6. Shepherd, T.G., 1990: Symmetric conservation laws, and Hamiltonian structure in geophysical fluid dynamics. Advances in Geophys., 32, 287–338.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Masaki Satoh
    • 1
  1. 1.Atmosphere and Ocean Research InstituteThe University of TokyoKashiwaJapan

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