On the thermal structure of waves in a simple baroclinic model including friction
Abstract
Beginning with linearized forms of the vorticity
equation and the first law of thermodynamics applied to a
simple baroclinic model including friction, an analytic
solution is obtained which describes the time variation
of the relative phase angle between the temperature and
pressure waves in the atmosphere. It is found that for
unstable waves the atmosphere tends toward a state where
the temperature wave lags the pressure wave. The time
variation of the amplitude and relative phase depends on
the initial value of the phase difference, but the ultimate
angle by which the temperature field lags the pressure
field depends only on the drag coefficient, certain atmospheric
parameters, and the wavelength of the waves. Figures
are included to show the variation with time and initial
phase difference of the amplitude and the relative phase
.
Also shown are the effects on the amplitude and terminal
value of the phase difference due to variations in the drag
coefficient and other parameters.
The writer wishes to express his appreciation to
Professor George J. Haltiner of the U. S. Naval Postgraduate
School for his guidance, contributions and encouragement
in this work.
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