44 research outputs found
Migration, trapping, and venting of gas in a soft granular material
Gas migration through a soft granular material involves a strong coupling
between the motion of the gas and the deformation of the material. This process
is relevant to a variety of natural phenomena, such as gas venting from
sediments and gas exsolution from magma. Here, we study this process
experimentally by injecting air into a quasi-2D packing of soft particles and
measuring the morphology of the air as it invades and then rises due to
buoyancy. We systematically increase the confining pre-stress in the packing by
compressing it with a fluid-permeable piston, leading to a gradual transition
in migration regime from fluidization to pathway opening to pore invasion. We
find that mixed migration regimes emerge at intermediate confinement due to the
spontaneous formation of a compaction layer at the top of the flow cell. By
connecting these migration mechanisms with macroscopic invasion, trapping, and
venting, we show that mixed regimes enable a sharp increase in the average
amount of gas trapped within the packing, as well as much larger venting
events. Our results suggest that the relationship between invasion, trapping,
and venting could be controlled by modulating the confining stress
A two-dimensional model of low-Reynolds number swimming beneath a free surface
Biological organisms swimming at low Reynolds number are often influenced by
the presence of rigid boundaries and soft interfaces. In this paper we present
an analysis of locomotion near a free surface with surface tension. Using a
simplified two-dimensional singularity model, and combining a complex variable
approach with conformal mapping techniques, we demonstrate that the deformation
of a free surface can be harnessed to produce steady locomotion parallel to the
interface. The crucial physical ingredient lies in the nonlinear hydrodynamic
coupling between the disturbance flow created by the swimmer and the free
boundary problem at the fluid surface
Biolocomotion near free surfaces in Stokes flows : mechanism of swimming and optimization
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2010.Cataloged from PDF version of thesis.Includes bibliographical references (p. 105-[111]).Locomotion of biological systems have fascinated physicists and engineers alike for centuries. In particular, we are interested in the motion of self-propelling bodies near an air-water interface in the low Reynolds number limit. To investigate this problem, we take two very different approaches. We first consider the locomotion of a specific organism, namely, a water snail, that exhibits a striking ability to "crawl" beneath the free surface. By modeling the foot of the snail as undergoing a simple sinusoidal motion, we apply lubrication approximations for small deformations to rationalize this peculiar mode of transport and its dependency on surface tension. Inspired by this study, the second part of my thesis focuses on the general two-dimensional model of an organism that utilizes a free surface to propel itself. Based on conformal mapping techniques, we are able to derive exact solutions describing the highly nonlinear coupling between the motion of the swimmer and the free surface deformations, without putting any limits on the deformation size. These closed-form solutions are then applied to optimization questions. In the high Reynolds number limit, swimming near the free surface is known to increase drag on the swimmer due to the cost associated with creating surface waves. However, we find that, for a low Reynolds number swimmer that utilizes the free surface to move, a different power law relation between the distance from the interface and the swimming efficiency exists, implying that the presence of the free surface can be beneficial in certain parameter regimes.by Sungyon Lee.Ph.D
Galerkin method to model thin free surface flows
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007.Includes bibliographical references (p. 65-68).Viscoelastic thin films with free surface are important in industry as well as in nature. However, there does not exist a robust and systematic framework to analyze such films. Lubrication approximations, largely successful in studying thin generalized Newtonian fluid flows, have been employed to tackle this task but have met with only limited success. This particular work highlights the shortcomings of the lubrication analysis in this context and suggests an alternative in the form of a Galerkin-like projection method.by Sungyon Lee.S.M
Programming droplet motion using metamaterials
Motion control of droplets has generated much attention for its applications
to microfluidics, where precise control of small fluid volumes is an imperative
requirement. Mechanical vibrations have been shown to be effective at inducing
controllable depinning, and activation of different drop motion regimes.
However, existing vibration-based strategies involve establishing homogeneous
rigid-body dynamics on the substrate, and therefore lack any form of spatial
heterogeneity and tuning. Addressing this limitation, metamaterials provide an
ideal platform to achieve spectrally and spatially selective drop motion
control, which leverages their ability to attenuate vibrations in selected
frequency bands and in selected regions of a substrate. In this work, we
illustrate the potential of metamaterials-based drop control by experimentally
demonstrating a variety of drop motion capabilities on the surface of
metaplates endowed with locally resonant stubs. The experiments leverage the
design versatility of a LEGO component-enabled reconfigurable design platform
and laser vibrometry measurements with high spatial resolution
Experimental investigation of bidensity slurries on an incline
We investigate the dynamics of bidensity slurries on an incline. The particle-fluid mixture consists of two species of negatively buoyant particles that have roughly the same size but significantly variant densities. This mismatch in particle densities induces or prevents settling depending on the relative amount of heavy to light particles, leading to complex regimes also found in the monodisperse case. In addition, when settling effects dominate within the thin film, we observe the phase separation down the incline between the particles and the liquid, as well as between two particle types. © 2014 Springer-Verlag Berlin Heidelberg
