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The hydrodynamics of accretion discs. Pt. 1,2. Stability. Turbulent models

Technical Report:

Abstract

The disc is idealized to be a stationary axisymmetric toroidal flow of a compressible fluid. The stability against linearized short wavelength perturbations is discussed. When the Rayleigh and Schwarzschild criteria are satisfied, the flow is stable against axisymmetric perturbations. However, almost all non-axisymmetric perturbations are not secularly stable, and examples of dynamically unstable modes are given. For turbulent models, two new points are made. The crucial problem for the horizontal structure of the disc, the prescription of the Reynolds stress gradient, is resolved by a direct calculation from first principles. A preliminary attempt is also made to describe the vertical structure, leading to a sandwich model. The predictions of this theory are shown to be consistent with the fine scale structure of Cyg X-1. (DE)
Authors:
Publication Date:
Aug 01, 1975
Product Type:
Technical Report
Report Number:
MPI-PAE/Astro-67
Reference Number:
EDB-76-044339
Resource Relation:
Other Information: 2 figs.; 46 refs. Available from ZAED
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BINARY STARS; HYDRODYNAMICS; BLACK HOLES; COMPRESSIBLE FLOW; COSMIC X-RAY SOURCES; DISTURBANCES; ENERGY TRANSFER; INSTABILITY; PULSARS; PULSES; REYNOLDS NUMBER; ROTATION; STABILITY; STAR ACCRETION; TOROIDAL CONFIGURATION; TURBULENCE; TURBULENT FLOW; ANNULAR SPACE; CONFIGURATION; COSMIC RADIO SOURCES; COSMIC RAY SOURCES; FLUID FLOW; FLUID MECHANICS; MECHANICS; MOTION; STAR EVOLUTION; STARS; 640106* - Astrophysics & Cosmology- Cosmology
OSTI ID:
7354714
Research Organizations:
Max-Planck-Institut fuer Physik und Astrophysik, Muenchen (Germany, F.R.)
Country of Origin:
Germany
Language:
English
Availability:
INIS
Submitting Site:
DE
Size:
Pages: v
Announcement Date:

Technical Report:

Citation Formats

Stewart, J. The hydrodynamics of accretion discs. Pt. 1,2. Stability. Turbulent models. Germany: N. p., 1975. Web.
Stewart, J. The hydrodynamics of accretion discs. Pt. 1,2. Stability. Turbulent models. Germany.
Stewart, J. 1975. "The hydrodynamics of accretion discs. Pt. 1,2. Stability. Turbulent models." Germany.
@misc{etde_7354714,
title = {The hydrodynamics of accretion discs. Pt. 1,2. Stability. Turbulent models}
author = {Stewart, J}
abstractNote = {The disc is idealized to be a stationary axisymmetric toroidal flow of a compressible fluid. The stability against linearized short wavelength perturbations is discussed. When the Rayleigh and Schwarzschild criteria are satisfied, the flow is stable against axisymmetric perturbations. However, almost all non-axisymmetric perturbations are not secularly stable, and examples of dynamically unstable modes are given. For turbulent models, two new points are made. The crucial problem for the horizontal structure of the disc, the prescription of the Reynolds stress gradient, is resolved by a direct calculation from first principles. A preliminary attempt is also made to describe the vertical structure, leading to a sandwich model. The predictions of this theory are shown to be consistent with the fine scale structure of Cyg X-1. (DE)}
place = {Germany}
year = {1975}
month = {Aug}
}