Visco-rotational shear instability of Keplerian granular flows

The linear stability of viscous Keplerian flow around a gravitating center is studied using the rheological granular fluid model. The linear rheological instability triggered by the interplay of the shear rheology and Keplerian differential rotation of incompressible dense granular fluids is found....

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2017-07
Main Authors: Poniatowski, Luka G, Tevzadze, Alexander G
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Differential rotation
Dynamic stability
Flow stability
Fluid flow
Incompressible flow
Kelvin-Helmholtz instability
Planet formation
Planetary rings
Protoplanets
Rheological properties
Rheology
Shear rate
Strain rate
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The linear stability of viscous Keplerian flow around a gravitating center is studied using the rheological granular fluid model. The linear rheological instability triggered by the interplay of the shear rheology and Keplerian differential rotation of incompressible dense granular fluids is found. Instability sets in granular fluids, where the viscosity parameter grows faster than the square of the local shear rate (strain rate) at constant pressure. Found instability can play a crucial role in the dynamics of dense planetary rings and granular flows in protoplanetary disks.
ISSN:2331-8422
DOI:10.48550/arxiv.1702.07271