Diffusion and viscosity coefficients for helium

Computer Science – Numerical Analysis

Scientific paper

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Boltzmann Transport Equation, Cosmic Gases, Diffusion Coefficient, Fokker-Planck Equation, Gas Viscosity, Gaseous Diffusion, Helium, Chapman-Enskog Theory, Electron Gas, Gas Mixtures, Helium Ions, Hydrogen, Ionic Diffusion, Numerical Analysis

Scientific paper

The first order Boltzmann-Fokker-Planck equation is solved numerically to obtain diffusion and viscosity coefficients for a ternary gas mixture composed of electron, protons, and helium. The coefficients are tabulated for five He/H abundances ranging from 0.01 to 10 and for both He II and He III. Comparison with Burgers's thermal diffusion coefficients reveals a maximum difference of 9-10% for both He II and He III throughout the range of helium abundances considered. The viscosity coefficients are compared to those of Chapman and Cowling and show a maximum difference of only 5-6% for He II but 15-16% for He III. For the astrophysically important gas mixtures, it is concluded that the results of existing studies which employed Burgers's or Chapman and Cowling's coefficients will remain substantially unaltered.

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