On the Thermal Structure of Waves in a Simple Baroclinic Model Including Friction

摘要

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. (Author)