Validity of the linearized theory for complete viscous polytropes.
Abstract
A previous evaluation of the validity of the linearized approximation in the case of an inviscid thermally conducting polytropic fluid is extended to complete polytropes, where both viscosity and thermal conductivity are taken into account. It is shown that the linearized theory is self-consistent in the case of a viscous polytrope even when the temperature vanishes at one of the boundaries. An analysis is performed which demonstrates that the linearized theory is self-consistent for both Eulerian and Lagrangian perturations and, in the case of the latter, for the optically thick as well as the optically thin case.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- February 1979
- DOI:
- 10.1093/mnras/186.3.491
- Bibcode:
- 1979MNRAS.186..491A
- Keywords:
-
- Convective Heat Transfer;
- Polytropic Processes;
- Stellar Models;
- Viscous Flow;
- Astrophysics;
- Linear Equations;
- Stratified Flow;
- Thermal Conductivity;
- Astrophysics;
- Polytropes