54 research outputs found
Simulation of granular jet: Is granular flow really a "perfect fluid?"
We perform three-dimensional simulations of a granular jet impact for both
frictional and frictionless grains. Small shear stress observed in the
experiment[X. Cheng et al., Phys. Rev. Lett. 99, 188001 (2007) ] is reproduced
through our simulation. However, the fluid state after the impact is far from a
perfect fluid, and thus, similarity between granular jets and quark gluon
plasma is superficial, because the observed viscosity is finite and its value
is consistent with the prediction of the kinetic theory.Comment: 8 pages 11 figures(9 figures: text, 2 figures: supplementary
material) 2 tables. To be published in Phys. Rev.
Theory of Drop Formation
We consider the motion of an axisymmetric column of Navier-Stokes fluid with
a free surface. Due to surface tension, the thickness of the fluid neck goes to
zero in finite time. After the singularity, the fluid consists of two halves,
which constitute a unique continuation of the Navier-Stokes equation through
the singular point. We calculate the asymptotic solutions of the Navier-Stokes
equation, both before and after the singularity. The solutions have scaling
form, characterized by universal exponents as well as universal scaling
functions, which we compute without adjustable parameters
Stability of viscous long liquid filaments
We study the collapse of an axisymmetric liquid filament both analytically
and by means of a numerical model. The liquid filament, also known as ligament,
may either collapse stably into a single droplet or break up into multiple
droplets. The dynamics of the filament are governed by the viscosity and the
aspect ratio, and the initial perturbations of its surface. We find that the
instability of long viscous filaments can be completely explained by the
Rayleigh-Plateau instability, whereas a low viscous filament can also break up
due to end pinching. We analytically derive the transition between stable
collapse and breakup in the Ohnesorge number versus aspect ratio phase space.
Our result is confirmed by numerical simulations based on the slender jet
approximation and explains recent experimental findings by Castrejon-Pita et
al., PRL 108, 074506 (2012).Comment: 7 page
Capillary instability in a two-component Bose-Einstein condensate
Capillary instability and the resulting dynamics in an immiscible
two-component Bose-Einstein condensate are investigated using the mean-field
and Bogoliubov analyses. A long, cylindrical condensate surrounded by the other
component is dynamically unstable against breakup into droplets due to the
interfacial tension arising from the quantum pressure and interactions. A
heteronuclear system confined in a cigar-shaped trap is proposed for realizing
this phenomenon experimentally.Comment: 7 pages, 6 figure
Bubbling in a co-flow at high Reynolds numbers
The physical mechanisms underlying bubble formation from a needle in a co-flowing liquid
environment at high Reynolds numbers are studied in detail with the aid of experiments and
boundary-integral numerical simulations. To determine the effect of gas inertia the experiments were
carried out with air and helium. The influence of the injection system is elucidated by performing
experiments using two different facilities, one where the constancy of the gas flow-rate entering the
bubble is ensured, and another one where the gas is injected through a needle directly connected to
a pressurized chamber. In the case of constant flow-rate injection conditions, the bubbling frequency
has been shown to hardly depend on the gas density, with a bubble size given by db / ro
? 6U? K *
U + k2 /? U- 1? 1/3 for U? 2, where U is the gas-to-liquid ratio of the mean velocities, ro is
the radius of the gas injection needle, and
k * = 5,84 and k2 = 4,29, whit db / ro3,3U1 / 3 for U1..
Nevertheless, in this case the effect of gas density is relevant to describe the final instants of bubble
breakup, which take place at a time scale much smaller than the bubbling time, tb. This effect is
evidenced by the liquid jets penetrating the gas bubbles upon their pinch-off. Our measurements
indicate that the velocity of the penetrating jets is considerably larger in air bubbles than in helium
bubbles due to the distinct gas inertia of both situations. However, in the case of constant pressure
supply conditions, the bubble size strongly depends on the density of the gas through the pressure
loss along the gas injection needle. Furthermore, under the operating conditions reported here, the
equivalent diameters of the bubbles are between 10% and 20% larger than their constant flow-rate
counterparts. In addition, the experiments and the numerical results show that, under constant
pressure supply, helium bubbles are approximately 10% larger than air bubbles due to the gas
density effect on the bubbling process
Scaling Behaviour and Complexity of the Portevin-Le Chatelier Effect
The plastic deformation of dilute alloys is often accompanied by plastic
instabilities due to dynamic strain aging and dislocation interaction. The
repeated breakaway of dislocations from and their recapture by solute atoms
leads to stress serrations and localized strain in the strain controlled
tensile tests, known as the Portevin-Le Chatelier (PLC) effect. In this present
work, we analyse the stress time series data of the observed PLC effect in the
constant strain rate tensile tests on Al-2.5%Mg alloy for a wide range of
strain rates at room temperature. The scaling behaviour of the PLC effect was
studied using two complementary scaling analysis methods: the finite variance
scaling method and the diffusion entropy analysis. From these analyses we could
establish that in the entire span of strain rates, PLC effect showed Levy walk
property. Moreover, the multiscale entropy analysis is carried out on the
stress time series data observed during the PLC effect to quantify the
complexity of the distinct spatiotemporal dynamical regimes. It is shown that
for the static type C band, the entropy is very low for all the scales compared
to the hopping type B and the propagating type A bands. The results are
interpreted considering the time and length scales relevant to the effect.Comment: 35 pages, 6 figure
A dynamical approach to the spatiotemporal aspects of the Portevin-Le Chatelier effect: Chaos,turbulence and band propagation
Experimental time series obtained from single and poly-crystals subjected to
a constant strain rate tests report an intriguing dynamical crossover from a
low dimensional chaotic state at medium strain rates to an infinite dimensional
power law state of stress drops at high strain rates. We present results of an
extensive study of all aspects of the PLC effect within the context a model
that reproduces this crossover. A study of the distribution of the Lyapunov
exponents as a function of strain rate shows that it changes from a small set
of positive exponents in the chaotic regime to a dense set of null exponents in
the scaling regime. As the latter feature is similar to the GOY shell model for
turbulence, we compare our results with the GOY model. Interestingly, the null
exponents in our model themselves obey a power law. The configuration of
dislocations is visualized through the slow manifold analysis. This shows that
while a large proportion of dislocations are in the pinned state in the chaotic
regime, most of them are at the threshold of unpinning in the scaling regime.
The model qualitatively reproduces the different types of deformation bands
seen in experiments. At high strain rates where propagating bands are seen, the
model equations are reduced to the Fisher-Kolmogorov equation for propagative
fronts. This shows that the velocity of the bands varies linearly with the
strain rate and inversely with the dislocation density, consistent with the
known experimental results. Thus, this simple dynamical model captures the
complex spatio-temporal features of the PLC effect.Comment: 17 pages, 18 figure
Dynamics of Cryogenic Jets: Non-Rayleigh Breakup and Onset of Nonaxisymmetric Motions
We report development of generators for periodic, satellite-free fluxes of
mono-disperse drops with diameters down to 10 mikrometers from cryogenic
liquids like H_2, N_2, Ar and Xe (and, as reference fluid, water). While the
breakup of water jets can well be described by Rayleigh's linear theory, we
find jet regimes for H_2 and N_2 which reveal deviations from this behavior.
Thus, Rayleigh's theory is inappropriate for thin jets that exchange energy
and/or mass with the surrounding medium. Moreover, at high evaporation rates,
axial symmetry of the dynamics is lost. When the drops pass into vacuum, frozen
pellets form due to surface evaporation. The narrow width of the pellet flux
paves the way towards various industrial and scientific applications.Comment: 4 pages, 4 figures, 1 table; final version to appear in Phys.Rev.Lett
(minor changes with respect to v1
Evolution of Gaussian wave packets in capillary jets
A temporal analysis of the evolution of Gaussian wave packets in cylindrical capillary jets is
presented through both a linear two-mode formulation and a one-dimensional nonlinear numerical
scheme. These analyses are normally applicable to arbitrary initial conditions but our study focuses
on pure-impulsive ones. Linear and nonlinear findings give consistent results in the stages for which
the linear theory is valid. The inverse Fourier transforms representing the formal linear solution
for the jet shape is both numerically evaluated and approximated by closed formulas. After a
transient, these formulas predict an almost Gaussian-shape deformation with (i) a progressive drift
of the carrier wave number to that given by the maximum of the Rayleigh dispersion relation, (ii)
a progressive increase of its bell width, and (iii) a quasi-exponential growth of its amplitude. These
parameters agree with those extracted from the fittings of Gaussian wave packets to the numerical
simulations. Experimental results are also reported on near-Gaussian pulses perturbing the exit
velocity of a 2 mm diameter water jet. The possibility of controlling the breakup location along the
jet and other features, such as pinch-off simultaneity, are demonstrated
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