Solution of Time-dependent Hydrodynamic Equations and application in Early Earth's Atmosphere

Details Solution of Time-dependent Hydrodynamic Equations and application in Early Earth's Atmosphere Solution of Time-dependent Hydrodynamic Equations and application in Early Earth's Atmosphere

Dec 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003dps....35.3711t&link_type=abstract

American Astronomical Society, DPS meeting #35, #37.11; Bulletin of the American Astronomical Society, Vol. 35, p.1487

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Hydrodynamic escape has important applications in the formation and evolution of planetary atmospheres. Watson et. al. (1981) treated the time-independent hydrodynamic equations by assuming single layer heating and this approach has been followed by researches in this field since then. Solutions to the time-independent hydrodynamic equations are difficult to find due to the existence of a singularity point. In our work, the Lax-Friedrichs scheme is used to solve the 1D time-dependent hydrodynamic equations without the single layer heating approximation. Our results show that variables such as energy input rate at the top of the atmosphere, density and temperature at the homopause have a non-linear impact on the escape flux. In our preliminary calculations, for the same hydrogen mixing ratio near homopause in Earth's atmosphere, hydrodynamic escape flux driven by intense solar EUV heating is much smaller than the diffusion limited escape flux. This escape rate suggests that the huge amount of H2 outgassing from interior of the Earth to compensate the previously assumed large scale escape may not be necessary to support substantial CH4 mixing ratios in the early Earth's atmosphere. FT is supported by the CU Astrobiology Institute.

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