Local concentration and velocity distribution for buoyancy driven mixing flows in long tubes at different tilt angles

ORAL

Abstract

The buoyancy driven mixing of two fluids of different densities (Atwood numbers $10^{-3} \le At \le 10^{-2}$) interpenetrating each other has been studied at the local scale in a $20 \mathrm{mm}$ diameter tube tilted at an angle $15^{\circ} \le \theta \le 60^{\circ}$ from vertical. The velocity and concentration maps are measured by means of PIV and LIF techniques in a vertical diametral plane. At large angles ($\theta = 45-60^{\circ}$) and low density contrast ($At = 10^{-3}$) the flow is laminar with three layers of different densities stabilized by transverse gravity. At high $At$ ($4 \times 10^{-3} - 10^{-2}$) and low $\theta$ ($15^{\circ} - 30^{\circ}$), there is a turbulent shear mixing region with linear velocity and concentration transverse profiles in the middle of the tube section and with two channels of less mixed fluids at the top and bottom. The size of the channels increases at lower $At$ and higher $\theta$. The local viscous and turbulent momentum fluxes have been determined and their variation in the section and their dependence on $\theta$ will be discussed. At intermediate $At$ and $\theta$ values, isolated or periodic turbulent bursts between which the flow returns to laminar are observed and both the velocity and concentration spatial correlations have been determined.

Authors

  • J. Znaien

  • F. Moisy

  • D. Salin

    UPMC Paris6 and IUF, CNRS

  • J.-P. Hulin

    FAST Laboratory, CNRS, Pierre et Marie-Curie Paris 6 and Paris-Sud 11 Universities (France)

  • E.J. Hinch

    DAMTP-CMS, Cambridge University (UK)