Stability of a horizontal shear flow

Research output: Contribution to journalConference articlepeer-review

Abstract

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.

Original languageEnglish
Article number012044
Number of pages8
JournalJournal of Physics: Conference Series
Volume894
Issue number1
DOIs
Publication statusPublished - 22 Oct 2017

Keywords

  • LONG-WAVE EQUATIONS

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