Flow and mixing in cross-shaped mixers with various chamber
depths
(w
i
/h, in which w
i
and h are the chamber depth and inlet height, respectively)
were studied by Plane Laser-Induced Fluorescence (PLIF) and numerical
simulation at 20 ≤ Re ≤ 500. Emphasis
was placed on engulfment flows and pulsation flows, as well as the
dominant role of vortices and their dynamic evolution. For w
i
/h > 0.3,
segregated flows, steady engulfment flows, pulsation flows, and unsteady
engulfment flows emerge successively with increasing Reynolds number
(Re = ρu
0
D
h/μ, where ρ, μ, D
h, and u
0 are the fluid density,
fluid viscosity, inlet hydraulic diameter, and inlet bulk mean velocity,
respectively). As w
i
/h decreases, engulfment and pulsation flows are delayed,
and the recirculation regions induced by vortex breakdown are shifted.
For w
i
/h ≤ 0.3, pulsation flows and recirculation regions disappear,
and a hybrid mode of deflecting oscillation and vortex merging is
identified. The degree of mixing was quantitatively analyzed to reveal
the mixing mechanism. At low Re, an increase in w
i
/h improves
the mixing due to the earlier onset of steady engulfment flows. For
higher Re, better mixing appears for w
i
/h ≤ 0.3 attributed
to vortex merging and deflecting oscillations.