Physics – Fluid Dynamics
Scientific paper
Dec 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986icar...68..462z&link_type=abstract
Icarus (ISSN 0019-1035), vol. 68, Dec. 1986, p. 462-480. Research supported by the U.S. National Research Council.
Physics
Fluid Dynamics
41
Atmospheric Moisture, Fractionation, Mars Atmosphere, Transonic Flow, Venus Atmosphere, Earth Atmosphere, Fluid Dynamics, Hydrogen, Oxygen, Rare Gases, Velocity Distribution
Scientific paper
Hydrodynamic escape of hydrogen from a planetary atmosphere can remove heavier gases as well as hydrogen, provided that the escape rate is sufficiently large. Analytic approximations for the degree of mass fractionation of a trace species during hydrodynamic escape are compared with accurate numerical solutions for the case of transonic outflow. The analytic approximations are most accurate when the ratio of molecular weights of the heavier and lighter constituents is large so that nonlinear terms in the momentum equation for the heavy constituent become small. The simplest analytic formula is readily generalized to the case where a heavy constituent is also a major species. Application of the generalized formula to hypothetical episodes of hydrodynamic escape from Venus and Mars suggests that both hydrogen and oxygen could have escaped; thus, substantial quantities of water may have been lost without the need to oxidize large amounts of the crust.
Kasting James F.
Zahnle Kevin J.
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