RESUMO
HYPOTHESIS: Horseshoe vortices are known to emerge around large-scale obstacles, such as bridge pillars, due to an inertia-driven adverse pressure gradient forming on the upstream-side of the obstacle. We contend that a similar flow structure can arise in thin-film Stokes flow around micro-obstacles, such as used in textured surfaces to improve wettability. This could be exploited to enhance mixing in microfluidic devices, typically limited to creeping-flow regimes. EXPERIMENTS: Numerical simulations based on the Navier-Stokes equations are carried out to elucidate the flow structure associated with the wetting dynamics of a liquid film spreading around a 50 µm diameter micro-pillar. The employed multiphase solver, which is based on the volume of fluid method, accurately reproduces the wetting dynamics observed in current and previous (Mu et al., Langmuir, 2019) experiments. FINDINGS: The flow structure within the liquid meniscus forming at the foot of the micro-pillar evinces a horseshoe vortex wrapping around the obstacle, notwithstanding that the Reynolds number in our system is extremely low. Here, the adverse pressure gradient driving flow reversal near the bounding wall is caused by capillarity instead of inertia. The horseshoe vortex is entangled with other vortical structures, leading to an intricate flow system with high-potential mixing capabilities.
RESUMO
Localized proton decoupled 31P in vivo NMR spectroscopy of the human calf muscle was performed using a 1.5-T whole-body imager and the slice selective two-dimensional chemical-shift-imaging (2D-CSI) technique. The 31P-31P coupling constants and the chemical shifts of ATP were compared in gastrocnemius and soleus. Significant differences were found in the coupling constant J gamma beta: (18.1 +/- 0.7) Hz versus (17.1 +/- 0.6) Hz (means +/- SD, P < 10-5). Differences were also observed in the chemical shift separation delta alpha beta between the alpha- and beta-ATP signal: (8.498 +/- 0.023) ppm versus (8.522 +/- 0.222) ppm (p < 0.001) in gastrocnemius and soleus, respectively. A higher [MgATP]/[ATPfree] ratio and a significantly higher level of intracellular free magnesium of (0.52 +/- 0.06) mM in gastrocnemius versus (0.46 +/- 0.05) mM in soleus (p < 0.001) can be derived based on delta alpha beta and KDMgATP. Heterogeneity needs to be taken into account in clinical studies on magnesium by NMR methods in calf muscle. The coupling constant J gamma beta provides additional information, possibly on enzymatic processes, and correlates with [Mg2+free]. The detailed analysis of muscles with different fiber type characteristics lends support to the significance of this parameter in evaluating metabolism. The data reported can be used as prior knowledge for fits in which the coupling constants are set to a fixed value.