10 research outputs found
Stretching fields and mixing near the transition to nonperiodic two-dimensional flow
Although time-periodic fluid flows sometimes produce mixing via Lagrangian chaos, the additional contribution to mixing caused by nonperiodicity has not been quantified experimentally. Here, we do so for a quasi-two-dimensional flow generated by electromagnetic forcing. Several distinct measures of mixing are found to vary continuously with the Reynolds number, with no evident change in magnitude or slope at the onset of nonperiodicity. Furthermore, the scaled probability distributions of the mean Lyapunov exponent have the same form in the periodic and nonperiodic flow states
Folding Langmuir Monolayers
The maximum pressure a two-dimensional surfactant monolayer is able to
withstand is limited by the collapse instability towards formation of
three-dimensional material. We propose a new description for reversible
collapse based on a mathematical analogy between the formation of folds in
surfactant monolayers and the formation of Griffith Cracks in solid plates
under stress. The description, which is tested in a combined microscopy and
rheology study of the collapse of a single-phase Langmuir monolayer of
2-hydroxy-tetracosanoic acid (2-OH TCA), provides a connection between the
in-plane rheology of LM's and reversible folding
Shear-Induced Stress Relaxation in a Two-Dimensional Wet Foam
We report on experimental measurements of the flow behavior of a wet,
two-dimensional foam under conditions of slow, steady shear. The initial
response of the foam is elastic. Above the yield strain, the foam begins to
flow. The flow consists of irregular intervals of elastic stretch followed by
sudden reductions of the stress, i.e. stress drops. We report on the
distribution of the stress drops as a function of the applied shear rate. We
also comment on our results in the context of various two-dimensional models of
foams