The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis

The topological analysis from Bjorkman (1995) for the standard model that describes the winds from hot stars by Castor et al. (1975) has been extended to include the effect of stellar rotation and changes in the ionization of the wind. The differential equation for the momentum of the wind is non-li...

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Detalles Bibliográficos
Autor principal: Rial, Diego Fernando
Publicado: 2004
Materias:
Hydrodynamics
Methods: analytical
Stars: early-type
Stars: mass-loss
Stars: rotation
Stars: winds, outflows
Differential equations
Galaxies
Interplanetary spacecraft
Ionization
Radiation effects
Topology
Wind effects
Analytical - stars
Early-type - stars
Mass-loss - stars
Outflows
Rotation - stars
Astronomy
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00046361_v428_n2_p545_Cure
http://hdl.handle.net/20.500.12110/paper_00046361_v428_n2_p545_Cure
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00046361_v428_n2_p545_Cure
record_format dspace
spelling paper:paper_00046361_v428_n2_p545_Cure2023-06-08T14:27:37Z The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis Rial, Diego Fernando Hydrodynamics Methods: analytical Stars: early-type Stars: mass-loss Stars: rotation Stars: winds, outflows Differential equations Galaxies Hydrodynamics Interplanetary spacecraft Ionization Radiation effects Topology Wind effects Analytical - stars Early-type - stars Mass-loss - stars Outflows Rotation - stars Astronomy The topological analysis from Bjorkman (1995) for the standard model that describes the winds from hot stars by Castor et al. (1975) has been extended to include the effect of stellar rotation and changes in the ionization of the wind. The differential equation for the momentum of the wind is non-linear and transcendental for the velocity gradient. Due to this non-linearity the number of solutions that this equation possess is not known. After a change of variables and the introduction of a new physically meaningless independent variable, we manage to replace the non-linear momentum differential equation by a system of differential equations where all the derivatives are explicitely given. We then use this system of equations to study the topology of the rotating-CAK model. For the particular case when the wind is frozen in ionization (δ = 0) only one physical solution is found, the standard CAK solution, with a X-type singular point. For the more general case (δ ≠ 0), besides the standard CAK singular point, we find a second singular point which is focal-type (or attractor). We find also, that the wind does not adopt the maximal mass-loss rate but almost the minimal. Fil:Rial, D.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00046361_v428_n2_p545_Cure http://hdl.handle.net/20.500.12110/paper_00046361_v428_n2_p545_Cure
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Hydrodynamics
Methods: analytical
Stars: early-type
Stars: mass-loss
Stars: rotation
Stars: winds, outflows
Differential equations
Galaxies
Hydrodynamics
Interplanetary spacecraft
Ionization
Radiation effects
Topology
Wind effects
Analytical - stars
Early-type - stars
Mass-loss - stars
Outflows
Rotation - stars
Astronomy
spellingShingle Hydrodynamics
Methods: analytical
Stars: early-type
Stars: mass-loss
Stars: rotation
Stars: winds, outflows
Differential equations
Galaxies
Hydrodynamics
Interplanetary spacecraft
Ionization
Radiation effects
Topology
Wind effects
Analytical - stars
Early-type - stars
Mass-loss - stars
Outflows
Rotation - stars
Astronomy
Rial, Diego Fernando
The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
topic_facet Hydrodynamics
Methods: analytical
Stars: early-type
Stars: mass-loss
Stars: rotation
Stars: winds, outflows
Differential equations
Galaxies
Hydrodynamics
Interplanetary spacecraft
Ionization
Radiation effects
Topology
Wind effects
Analytical - stars
Early-type - stars
Mass-loss - stars
Outflows
Rotation - stars
Astronomy
description The topological analysis from Bjorkman (1995) for the standard model that describes the winds from hot stars by Castor et al. (1975) has been extended to include the effect of stellar rotation and changes in the ionization of the wind. The differential equation for the momentum of the wind is non-linear and transcendental for the velocity gradient. Due to this non-linearity the number of solutions that this equation possess is not known. After a change of variables and the introduction of a new physically meaningless independent variable, we manage to replace the non-linear momentum differential equation by a system of differential equations where all the derivatives are explicitely given. We then use this system of equations to study the topology of the rotating-CAK model. For the particular case when the wind is frozen in ionization (δ = 0) only one physical solution is found, the standard CAK solution, with a X-type singular point. For the more general case (δ ≠ 0), besides the standard CAK singular point, we find a second singular point which is focal-type (or attractor). We find also, that the wind does not adopt the maximal mass-loss rate but almost the minimal.
author Rial, Diego Fernando
author_facet Rial, Diego Fernando
author_sort Rial, Diego Fernando
title The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
title_short The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
title_full The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
title_fullStr The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
title_full_unstemmed The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
title_sort influence of rotation in radiation driven winds from hot stars: ii. cak topological analysis
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00046361_v428_n2_p545_Cure
http://hdl.handle.net/20.500.12110/paper_00046361_v428_n2_p545_Cure
work_keys_str_mv AT rialdiegofernando theinfluenceofrotationinradiationdrivenwindsfromhotstarsiicaktopologicalanalysis
AT rialdiegofernando influenceofrotationinradiationdrivenwindsfromhotstarsiicaktopologicalanalysis
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