Viscous Magnus Force for the Rotating Venus Ionosphere

Astronomy and Astrophysics – Astronomy

Scientific paper

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Hydrodynamics, Methods: Analytical, Planets And Satellites: Individual: Venus, Plasmas, Sun: Solar Wind

Scientific paper

The Magnus force applicable to the Venus ionosphere is calculated for the high-altitude transterminator flow that streams around the low-altitude ionospheric plasma that is subject to rotating motion. The Magnus force can account for the observed dawn-dusk (east-west) asymmetry of the Venus nightside ionosphere and is suitable to describe conditions in astrophysical problems in which the plasma of a rotating body interacts with a directional plasma flow. The Magnus force equation is derived including the viscous force term in the momentum equation of the transterminator flow in the Venus upper ionosphere and is examined by comparing the expected dawnward-directed displacement of that flow with the Pioneer Venus Orbiter measurements. Values of the coefficient of the Magnus force equation suitable for the dawnward deflection of the transterminator flow are comparable to those of a rotating sphere subject to a streaming flow in fluid dynamics problems and imply Re ~ 200-300 values of the Reynolds number for that flow using the ~600 km width of the region where it is measured. Such values of the Reynolds number are 1 order of magnitude larger than those inferred from the viscous transport of solar wind momentum to the Venus upper ionosphere that is implied by the velocity boundary layer observed along the flanks of the Venus ionosheath. With values of the coefficient of the Magnus force equation for the Venus ionosphere that are similar to those applicable to ordinary fluid dynamic problems it is possible to suggest a common quality in the response of rotating obstacles subject to a streaming flow in fluid dynamics and in astrophysical problems.

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