Loading…

Stability of a horizontal shear flow

In this work we study the stability of horizontal shear flows of an ideal fluid in an open channel. Stability conditions are derived in terms of the theory of generalized hyperbolicity of motion equations. We show that flows with monotonic convex profile are always stable, whereas flows with an infl...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2017-10, Vol.894 (1), p.12044
Main Author: Kovtunenko, P V
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work we study the stability of horizontal shear flows of an ideal fluid in an open channel. Stability conditions are derived in terms of the theory of generalized hyperbolicity of motion equations. We show that flows with monotonic convex profile are always stable, whereas flows with an inflexion point in the velocity profile might become unstable. To illustrate the criteria we give simple examples for stable and unstable flows. Then we derive a multilayered model that is an approximation of the original model and features a continuous piecewise linear velocity profile. We also formulate sufficient hyperbolicity conditions for the multilayered model.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/894/1/012044