10 research outputs found
Introduction to No. 1, Part two: Developing Moral Competence, Perfecting Selfhood, Practicing Forgiveness
The introductioń to Ethics in Progress Special Issue, Vol. 7(1), No. 2 isgiven, with brief exposes on the articles present in the section
Curvature of Capillary Bridges as a Competition between Wetting and Confinement
We consider the shape evolution of
non-axisymmetric capillary bridges
in slit pore geometry as the pore height is increased at constant
volume. Experiments and finite element simulations using Surface Evolver
have shown that as the height of the pore is increased the mean curvature
of the bridge, and hence Laplace pressure, changes its sign from negative
to positive. Here we propose an intuitive explanation of this surprising
phenomenon. We suggest that it is the balance between the confinement
and the wetting properties of the supporting strips that causes the
change in sign of the Laplace pressure. The theory proposed relies
on three simple approximations, which are tested individually, and
is in good agreement with experiments and simulations in the regime
where the curvature transition from negative to positive takes place.
Theoretical arguments take into account only the wetting properties
and geometry of the system (the width and height of the pore). Along
with the formula for the curvature, we derive also a relation for
the pinning angle of the capillary bridge, which is also verified
experimentally
Curvature of Capillary Bridges as a Competition between Wetting and Confinement
We consider the shape evolution of
non-axisymmetric capillary bridges
in slit pore geometry as the pore height is increased at constant
volume. Experiments and finite element simulations using Surface Evolver
have shown that as the height of the pore is increased the mean curvature
of the bridge, and hence Laplace pressure, changes its sign from negative
to positive. Here we propose an intuitive explanation of this surprising
phenomenon. We suggest that it is the balance between the confinement
and the wetting properties of the supporting strips that causes the
change in sign of the Laplace pressure. The theory proposed relies
on three simple approximations, which are tested individually, and
is in good agreement with experiments and simulations in the regime
where the curvature transition from negative to positive takes place.
Theoretical arguments take into account only the wetting properties
and geometry of the system (the width and height of the pore). Along
with the formula for the curvature, we derive also a relation for
the pinning angle of the capillary bridge, which is also verified
experimentally
Time-dependent shapes of a dissolving mineral grain: Comparisons of simulations with microfluidic experiments
International audienceExperimental observations of the dissolution of calcium sulfate by flowing water have been used to investigate the assumptions underlying pore-scale models of reactive transport. Microfluidic experiments were designed to observe changes in size and shape as cylindrical disks (radius 10 mm) of gypsum dissolved for periods of up to 40 days. The dissolution flux over the whole surface of the sample can be determined by observing the motion of the interface. However, in order to extract surface reaction rates, numerical simulations are required to account for diffusional hindrance across the concentration boundary layer; the geometry is too complex for analytic solutions.We have found that a first-principles simulation of pore-scale flow and transport, with a single value of the surface reaction rate, was able to reproduce the time sequence of sample shapes without any fitting parameters. The value of the rate constant is close to recent experimental measurements but much smaller than some earlier values. The shape evolution is a more stringent test of the validity of the method than average measurements such as effluent concentration, because it requires the correct flux at each point on the sample surface
Dissolution of a single mineral grain: comparison of microfluidic experiments with pore-scale simulations
International audienceWe investigate the dissolution of a single grain of soluble mineral by microfluidic experiments and numerical simulations. The experiments use gypsum cylinders (10 mm radius, 0.5 mm thick) cast from rehydrated CaSO4 hemihydrate. The numerical simulations used a finite-volume discretization of the reactive-transport equations with a mesh that conforms to the evolving shape of the mineral. Using the coefficients for dilute aqueous ions, we overpredict the dissolution rate by about 25%. However, including the Debye-Huckel correction for the ion activity gives a substantial reduction in diffusion across the boundary layer at the dissolving solid surface and brings the simulation time scale into quantitative agreement with experiment.The asymmetry introduced by the flow causes the initially cylindrical sample to take on a shape resembling one half of a figure eight, with the tip pointing in the downstream direction. The simulations give a near perfect match to the experimental size and shape. We quantify the evolution of the volume of the grain and its surface area, as well as its overall shape as the function of the Peclet number. Next we discuss the differences between the geometric surface area and the reactive surface area of a dissolving grain and explore a potential use of these results to upscale the reactive transport problem and obtain the effective reaction rates in a multi-grain system