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One Zone Modeling of Irregular Variability of Stellar Convective Envelope

Published online by Cambridge University Press:  12 April 2016

W. Unno  and
D.-R. Xiong
W. Unno
Affiliation:
Research Institute for Science and Technology, Kinki University, Kowakae, Higasi- Osaka-shi, Osaka, 577Japan
D.-R. Xiong
Affiliation:
Purple Mountain Observatory, Academia Sinica, Nanjing, 6001, Peoples’Republic of China

Abstract

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One zone modeling of the irregular variability of red super-giants is intended with regard to the nonlinear coupling of finite amplitude pulsation with convection. The nonlocal mixing length is employed for the evaluation of the convective flux, the turbulent pressure and the turbulent power of temperature fluctuations. The radial pulsation and the Boussinesq convection are assumed for simplicity. The one zone is defined as the layer having the entropy maximum and the minimum at the bottom and at the top, respectively. The quasi-adiabatic approximation is consistent with this definition in fixing the zone to the same mass range. The spatial derivatives are evaluated under the assumption of homologous changes with the equilibrium homologous parameters. Then, a set of 6 simultaneous first order nonlinear ordinary differential equations are obtained as the one zone representation of the irregular variability of the convective envelope.

Keywords

Irregular variabilityConvection pulsation couplingNonlinear dynamical systemOne zone modeling
Type
I. Fundamental Theories
Information
International Astronomical Union Colloquium , Volume 134: Nonlinear Phenomena in Stellar Variability , 1993 , pp. 77 - 81
Copyright
Copyright © Kluwer 1993

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