Mixing layer and turbulent jet flow in a Hele–Shaw cell

Research output: Contribution to journalArticlepeer-review

Abstract

A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by interaction of vortices arising at the non-linear stage of the Kelvin–Helmholtz instability development and by turbulent friction. In the framework of the shallow water theory and a three-layer representation of the flow, one-dimensional models of a mixing layer are proposed. The obtained equations allow one to determine averaged boundaries of the region of intense fluid mixing. Stationary solutions of the governing equations are constructed and analysed. Using the averaged flow characteristics obtained by one-dimensional equations, a hyperbolic system for determining the velocity profile and Reynolds shear stress across the mixing layer is derived. Comparison with the experimental results of the evolution of turbulent jet flows in a Hele–Shaw cell shows that the proposed models provide a fairly accurate description of the average boundaries of the region of intense mixing, as well as the velocity profile and Reynolds shear stress across the mixing layer.

Original languageEnglish
Article number103534
Number of pages9
JournalInternational Journal of Non-Linear Mechanics
Volume125
DOIs
Publication statusPublished - 1 Oct 2020

Keywords

  • Hele–Shaw cell
  • Jet flow
  • Mixing layer
  • Shallow water equations
  • Hele-Shaw cell
  • FRICTION
  • EVOLUTION
  • DISPERSION
  • STABILITY
  • MODEL
  • SHALLOW

Fingerprint

Dive into the research topics of 'Mixing layer and turbulent jet flow in a Hele–Shaw cell'. Together they form a unique fingerprint.

Cite this