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Depth Dependence on the Various Scale Lengths in a Quasi-Vitense Model of the Solar Convection Zone

Published online by Cambridge University Press:  25 April 2016

B. E. Waters
B. E. Waters*
Affiliation:
Department of Mathematics, Monash University, Melbourne
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Extract

As has been previously stated (van der Borght) the lengths l1, l2, l3 and l4 are functions of and so a discussion of these lengths is in fact a discussion of the f’s. For a first approach to a determination of these f’s, a standard Vitense2 model of the convection zone—with mixing length l, is used. We assume that l = H. The variables we need are kz, which are the vertical wave number associated with the characteristic eddy, the average vertical velocity, and the average (non-dimensional) temperature fluctuation. These quantities are approximated, using the following relations

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 2 , Issue 1 , July 1971 , pp. 48 - 50
Copyright
Copyright © Astronomical Society of Australia 1971

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References

1 van der Borght, R., Proc. ASA, 2, 46 (1971).Google Scholar
2 Vitense, E., Ze. f. Ap. 32, 135 (1953).Google Scholar
3 Waters, B., Proc. ASA, 2, 50 (1971).Google Scholar
4 Unno, W., Pubi. Astr. Soc. Japan, 21, No. 3, 249 (1969).Google Scholar
5 Unno, W., Private communication.Google Scholar
6 Seeger, R. J. and Temple, G., ‘Research Frontiers in Fluid Dynamics’, XV, p. 683, Interscience Publishers, New York 1965.Google Scholar
7 Travis, L., Private communication.Google Scholar
8 Donelly, R. J., Herman, R. and Prigogine, I., Won-Equilibrium Thermodynamic, Variational Techniques and Stability’, p. 125, University of Chicago Press 1966.Google Scholar