Convective instability in a compressible atmosphere |
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Authors: | S M Chitre M H Gokhale |
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Institution: | (1) Institute for Space Studies, Goddard Space Flight Center, NASA, New York, U.S.A.;(2) Astronomical Institute, Utrecht, The Netherlands |
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Abstract: | The degree of convective instability as expressed by the growth rate of linear modes, is calculated for a plane parallel polytropic atmosphere in the presence of radiative damping, without using Boussinesq approximation. A comparison with the results based on the Boussinesq approximation reveals that the use of the Boussinesq approximation leads to an overestimation of the radiative damping. The computation of as a function of the horizontal wave number yields a wavelength of maximal instability under a variety of conditions. For reasonable choices of physical parameters appropriate to the solar atmosphere, the fastest growing wavelengths turn out to be in the range 600–1200 km, and their e-folding times are in the range 200–2000 s.NAS-NRC Senior Research Associate on leave of absence from the Tate Institute of Fundamental Research, Bombay. |
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