Mixing between Stellar Envelope and Core in Advanced Phases of Evolution. IV ---Effect of Super-Adiabaticity in Convective Envelope---

Details Mixing between Stellar Envelope and Core in Advanced Phases of Evolution. IV ---Effect of Super-Adiabaticity in Convective Envelope--- Mixing between Stellar Envelope and Core in Advanced Phases of Evolution. IV ---Effect of Super-Adiabaticity in Convective Envelope---

Jul 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972pthph..48...46n&link_type=abstract

Progress of Theoretical Physics, Vol. 48, No. 1, pp. 46-65

Physics

13

Scientific paper

Model envelopes of red supergiants are integrated taking into account the effect of superadiabatic temperature gradient by means of a standard mixing length theory. When the stellar luminosity is close to its upper limit (critical luminosity), the matter density in the envelope is so low that the heat exchange between the rising and descending convective elements is appreciable. Moreover, the radiation pressure is dominant as compared with the gas pressure. These result in a strong entropy gradient in the convective envelope. Such a strong entropy gradient tends to reduce or inhibit mixing of material by the penetration of the convective envelope into the core. However, quantitative results are quite sensitive to the ratio of the mixing length to the pressure scale-height. Assuming different values of the mixing length, we discuss the validity of the numerical results concerning the mixing, which were obtained in the earlier papers of this series. Effect of active hydrogen-burning shell on the progress of mixing is also discussed in relation to the formation of a star having helium envelope.

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