An analytical investigation of the shell source regions of massive stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Stellar Envelopes, Stellar Evolution, Stellar Models, Stellar Temperature, Astronomical Models, Astrophysics, Nuclear Reactions, Stellar Mass

Scientific paper

Analytical calculations are performed to interpret the numerically computed behavior of the shell source region of massive stars in the burning phase between central hydrogen and central helium burning. Mass range of models investigated is from 2 to 9 solar masses, and only models with one hydrogen burning shell source are considered. An expression for the double-logarithmic temperature gradient at the shell source maximum is derived by means of the energy generation equations. On the assumption of 30 million K as the typical burning temperature of shell sources in the given mass range, it is found that the double-logarithmic temperature gradient must be less than -1 at the maximum of the shell source. Hence a relative extremum of the nuclear energy generation rate cannot exist in a convection zone. It is found that if the chemical profile at the core edge is steep and the extension in mass of the shell source is small, its thermal and mechanical variations with time take place on a time scale larger than the local nuclear time scale.

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