64 research outputs found
Miscible displacement fronts of shear thinning fluids inside rough fractures
The miscible displacement of a shear-thinning fluid by another of same
rheological properties is studied experimentally in a transparent fracture by
an optical technique imaging relative concentration distributions. The fracture
walls have complementary self-affine geometries and are shifted laterally in
the direction perpendicular to the mean flow velocity {\bf U} : the flow field
is strongly channelized and macro dispersion controls the front structure for
P\'{e}clet numbers above a few units. The global front width increases then
linearly with time and reflects the velocity distribution between the different
channels. In contrast, at the local scale, front spreading is similar to Taylor
dispersion between plane parallel surfaces. Both dispersion mechanisms depend
strongly on the fluid rheology which shifts from Newtonian to shear-thinning
when the flow rate increases. In the latter domain, increasing the
concentration enhances the global front width but reduces both Taylor
dispersion (due to the flattening of the velocity profile in the gap of the
fracture) and the size of medium scale front structures
Deformation of a flexible fiber in a viscous flow past an obstacle
We study the deformation and transport of elastic fibers in a viscous
Hele-Shaw flow with curved streamlines. The variations of the global velocity
and orientation of the fiber follow closely those of the local flow velocity.
The ratios of the curvatures of the fibers by the corresponding curvatures of
the streamlines reflect a balance between elastic and viscous forces: this
ratio is shown experimentally to be determined by a dimensionless {\it Sperm
number} combining the characteristic parameters of the flow (transverse
velocity gradient, viscosity, fiber diameter/cell gap ratio) and those of the
fiber (diameter, effective length, Young's modulus). For short fibers, the
effective length is that of the fiber; for long ones, it is equal to the
transverse characteristic length of the flow. For , the
ratio of the curvatures increases linearly with ; For ,
the fiber reaches the same curvature as the streamlines
Failure mechanisms and surface roughness statistics of fractured Fontainebleau sandstone
In an effort to investigate the link between failure mechanisms and the
geometry of fractures of compacted grains materials, a detailed statistical
analysis of the surfaces of fractured Fontainebleau sandstones has been
achieved. The roughness of samples of different widths W is shown to be self
affine with an exponent zeta=0.46 +- 0.05 over a range of length scales ranging
from the grain size d up to an upper cut-off length \xi = 0.15 W. This low zeta
value is in agreement with measurements on other sandstones and on sintered
materials. The probability distributions P(delta z,delta h) of the variations
of height over different distances delta z > d can be collapsed onto a single
Gaussian distribution with a suitable normalisation and do not display
multifractal features. The roughness amplitude, as characterized by the
height-height correlation over fixed distances delta z, does not depend on the
sample width, implying that no anomalous scaling of the type reported for other
materials is present. It is suggested, in agreement with recent theoretical
work, to explain these results by the occurence of brittle fracture (instead of
damage failure in materials displaying a higher value of zeta = 0.8).Comment: 7 page
Oscillations and translation of a free cylinder in a confined flow
An oscillatory instability has been observed experimentally on an horizontal
cylinder free to move and rotate between two parallel vertical walls of
distance H; its characteristics differ both from vortex shedding driven
oscillations and from those of tethered cylinders in the same geometry. The
vertical motion of the cylinder, its rotation about its axis and its transverse
motion across the gap have been investigated as a function of its diameter D,
its density s, of the mean vertical velocity U of the fluid and of its
viscosity. For a blockage ratio D/H above 0.5 and a Reynolds number Re larger
then 14, oscillations of the rolling angle of the cylinder about its axis and
of its transverse coordinate in the gap are observed together with periodic
variations of the vertical velocity. Their frequency f is the same for the
sedimentation of the cylinder in a static fluid (U = 0) and for a non-zero mean
flow (U 6= 0). The Strouhal number St associated to the oscillation varies as
1/Re with : St.Re = 3 0.15. The corresponding period 1/f is then
independent of U and corresponds to a characteristic viscous diffusion time
over a distance ~ D, implying a strong influence of the viscosity. These
characteristics differ from those of vortex shedding and tethered cylinders for
which St is instead roughly constant with Re and higher than here
Numerical study of the temperature and porosity effects on the fracture propagation in a 2D network of elastic bonds
This article reports results concerning the fracture of a 2d triangular
lattice of atoms linked by springs. The lattice is submitted to controlled
strain tests and the influence of both porosity and temperature on failure is
investigated. The porosity is found on one hand to decrease the stiffness of
the material but on the other hand it increases the deformation sustained prior
to failure. Temperature is shown to control the ductility due to the presence
of cavities that grow and merge. The rough surfaces resulting from the
propagation of the crack exhibit self-affine properties with a roughness
exponent over a range of length scales which increases
with temperature. Large cavities also have rough walls which are found to be
fractal with a dimension, , which evolves with the distance from the crack
tip. For large distances, is found to be close to 1.5, and close to 1.0 for
cavities just before their coalescence with the main crack
Influence of flow confinement on the drag force on a static cylinder
The influence of confinement on the drag force on a static cylinder in a
viscous flow inside a rectangular slit of aperture has been investigated
from experimental measurements and numerical simulations. At low enough
Reynolds numbers, varies linearly with the mean velocity and the viscosity,
allowing for the precise determination of drag coefficients and
corresponding respectively to a mean flow parallel and
perpendicular to the cylinder length . In the parallel configuration, the
variation of with the normalized diameter of the
cylinder is close to that for a 2D flow invariant in the direction of the
cylinder axis and does not diverge when . The variation of
with the distance from the midplane of the model reflects the
parabolic Poiseuille profile between the plates for while it
remains almost constant for . In the perpendicular configuration,
the value of is close to that corresponding to a 2D system
only if and/or if the clearance between the ends of the cylinder
and the side walls is very small: in that latter case,
diverges as due to the blockage of the flow. In other cases, the
side flow between the ends of the cylinder and the side walls plays an
important part to reduce : a full 3D description of the flow is
needed to account for these effects
Shaping gels and gels mixture to create helices
In cooking, food gels, such as agar-agar or alginate, are often prepared and presented in the form of spheres or spaghetti. While experimenting in our kitchen, we realized that it is quite difficult to make more advanced shapes. In this study, we sought to develop new methods to obtain more complex shapes. Our first challenge was to obtain helices. The best method we selected was to deposit the solutions before their gelation in a thread. The robustness of the method is tested by systematically changing the thread pitch, diameter, and depth. From the deformation under its own weight, we propose to deduce the mechanical characteristics of the helix. These values are compared to those obtained in the laboratory using indentation testing. Finally, we experimented with mixed gels obtained by combining agar-agar and alginate.Fil: D'angelo, María Verónica. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; ArgentinaFil: Pauchard, L.. Centre National de la Recherche Scientifique; FranciaFil: Auradou, H.. Centre National de la Recherche Scientifique; FranciaFil: Darbois Texier, B.. Centre National de la Recherche Scientifique; Franci
Relation Between First Arrival Time and Permeability in Self-Affine Fractures with Areas in Contact
We demonstrate that the first arrival time in dispersive processes in
self-affine fractures are governed by the same length scale characterizing the
fractures as that which controls their permeability. In one-dimensional channel
flow this length scale is the aperture of the bottle neck, i.e., the region
having the smallest aperture. In two dimensions, the concept of a bottle neck
is generalized to that of a minimal path normal to the flow. The length scale
is then the average aperture along this path. There is a linear relationship
between the first arrival time and this length scale, even when there is strong
overlap between the fracture surfaces creating areas with zero permeability. We
express the first arrival time directly in terms of the permeability.Comment: EPL (2012)
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