Forced Oscillations in a Cylindrical Atmosphere

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  • 1 Deparment of Applied Mathemalics, University of Cape Town
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Abstract

The vertical propagation of small oscillations in a viscous, heat-conducting cylindrical atmosphere is discussed as being analogous to the more complex problem of a spherical atmosphere. It is shown that in the case of either viscosity or heat conduction acting alone the differential equation for the amplitude factor of forced temperature oscillations as a function of height may be solved explicitly. Contrary to classical discussions of tides in an undamped atmosphere it is shown that the effects of the damping terms predominate at even the lowest levels.

Abstract

The vertical propagation of small oscillations in a viscous, heat-conducting cylindrical atmosphere is discussed as being analogous to the more complex problem of a spherical atmosphere. It is shown that in the case of either viscosity or heat conduction acting alone the differential equation for the amplitude factor of forced temperature oscillations as a function of height may be solved explicitly. Contrary to classical discussions of tides in an undamped atmosphere it is shown that the effects of the damping terms predominate at even the lowest levels.

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