Strongly confined flow of particulate fluids is encountered
in
applications ranging from three-dimensional (3D) printing to the spreading
of foods and cosmetics into thin layers. When flowing in constrictions
with gap sizes, w, within 102 times the
mean size of particles or aggregates, d, structured
fluids experience enhanced bulk velocities and inhomogeneous viscosities,
as a result of so-called cooperative, or nonlocal, particle interactions.
Correctly predicting cooperative flow for a wide range of complex
fluids requires high-resolution flow imaging modalities applicable in situ to even optically opaque fluids. To this goal, we
here developed a pressure-driven high-field magnetic resonance imaging
(MRI) velocimetry platform, comprising a pressure controller connected
to a capillary. Wall properties and diameter could be modified respectively
as hydrophobic/hydrophilic, or within w ∼
100–540 μm. By achieving a high spatial resolution of
9 μm, flow cooperativity length scales, ξ, down to 15
μm in Carbopol with d ∼ 2 μm could
be quantified by means of established physical models with an accuracy
of 13%. The same approach was adopted for a heterogeneous fat crystal
dispersion (FCD) with d and ξ values up to
an order of magnitude higher than those for Carbopol. We found that
for strongly confined flow of Carbopol in the 100 μm capillary,
ξ is independent of flow conditions. For the FCD, ξ increases
with gap size and applied pressures over 0.25–1 bar. In both
samples, nonlocal interactions span domains up to about 5–8
particles but, at the highest confinement degree explored, ∼8%
for FCD, domains of only ∼2 particles contribute to cooperative
flow. The developed flow-MRI platform is easily scalable to ultrahigh
field MRI conditions for chemically resolved velocimetric measurements
of, e.g., complex fluids with anisotropic particles
undergoing alignment. Future potential applications of the platform
encompass imaging extrusion under confinement during the 3D printing
of complex dispersions or in in vitro vascular and
perfusion studies.