The character of transitional capillary flow is investigated using pressure-drop measurements and instantaneous velocity fields
acquired by microscopic PIV in the streamwise–wall-normal plane of a 536 μm capillary over the Reynolds-number range 1,800
≤
Re ≤ 3,400 in increments of 100. The pressure-drop measurements reveal a deviation from laminar behavior at
Re = 1,900 with the differences between the measured and the predicted laminar-flow pressure drop increasing with increasing
Re. These observations are consistent with the characteristics of the mean velocity profiles which begin to deviate from the
parabolic laminar profile at
Re = 1,900, interpreted as the onset of transition, by becoming increasingly flatter and fuller with increasing
Re. A fully-turbulent state is attained at
Re ≅ 3,400 where the mean velocity profile collapses onto the mean profile of fully-developed turbulent pipe flow from an existing
direct numerical simulation at
Re = 5,300. Examination of the instantaneous velocity fields acquired by micro-PIV in the range 1,900 ≤
Re < 3,400 reveal that transitional flows at the microscale are composed of a subset of velocity fields illustrating a purely
laminar behavior and a subset of fields that capture significant departure from laminar behavior. The fraction of velocity
fields displaying non-laminar behavior increases with increasing
Re, consistent with past observations of a growing number of intermittent turbulent spots bounded by nominally laminar flow
in macroscale pipe flow with increasing
Re. Instantaneous velocity fields that are non-laminar in character consistently contain multiple spanwise vortices that appear
to streamwise-align to form larger-scale interfaces that incline slightly away from the wall. The characteristics of these
“trains” of vortices are reminiscent of the spatial features of hairpin-like vortices and hairpin vortex packets often observed
in fully-turbulent wall-bounded flow at both the macro- and micro-scales. Finally, single-point statistics computed from the
non-laminar subsets at each transitional
Re, including root-mean-square velocities and the Reynolds shear stress, reveal a gradual and smooth maturation of the patches
of disordered motion toward a fully-turbulent state with increasing
Re.