Density dependence of the viscous force in a one-constituent atmosphere

Details Density dependence of the viscous force in a one-constituent atmosphere Density dependence of the viscous force in a one-constituent atmosphere

Apr 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976p%26ss...24..349s&link_type=abstract

Planetary and Space Science, vol. 24, Apr. 1976, p. 349-353.

Mathematics

Probability

Exosphere, Gas Density, Thermosphere, Transport Properties, Viscous Flow, Atmospheric Models, Probability Theory, Rarefied Gases, Scale Height, Vertical Distribution

Scientific paper

The density dependence of the viscous force in the upper thermosphere and lower exosphere is investigated using a modified version of the elementary theory of transport phenomena. The modification consists in allowing for particles coming from any distance, weighted by the probability that the last collision occurred within some interval around that distance, instead of assuming that a particle arriving at some location had its last collision at a distance corresponding to the mean free path. The results indicate that the coefficient of viscosity begins to become density-dependent above about two scale heights below the exobase and that, at the same time, the viscous force starts to be governed not only by the second altitude derivative of horizontal velocity, but also by the first, third, fourth, and higher derivatives. It is noted that the equation obtained for the viscous force contains a term which reduces the thermospheric wind velocity, an effect considered as favorable since measured wind velocities have usually been lower than calculated ones.

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