Droplet ejection using WunenburgerDroplet ejection using acoustic waves: Régis Wunenburger...
Transcript of Droplet ejection using WunenburgerDroplet ejection using acoustic waves: Régis Wunenburger...
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High intensity acoustic waves can be used to
o trigger flows,
o deform liquid surfaces,
o control hydrodynamic instabilities,
o mix, atomize liquids,
o transport droplets …
Droplet ejection using acoustic waves: Régis [email protected]
jeudi 4 octobre 2012
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liquid
acoustic transducer
air
Context
Controlled delivery of liquid samples for high-throughput screening
applications
)biological tests, automated formulation(
500 µm
500 µs 1312 µs1375 µs1750 µs
Droplet ejection using acoustic waves: Régis [email protected]
jeudi 4 octobre 2012
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water
air
! Origin of the mist : cavitation ? Faraday-like instability ?
! Big droplet : how big, how many, influence of viscosity ?
! Extension to emulsification )liquid-liquid interface(, encapsulation )3 liquids( …" Experiments
" Comparison with numerical simulation
To learn more : contact Régis Wunenburger - FCIH )[email protected]( 600 fps
Gerris
Droplet ejection using acoustic waves: Régis [email protected]
jeudi 4 octobre 2012
mailto:[email protected]:[email protected]:[email protected]:[email protected]
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Thrusters for nanosatellites
Michel DUDECK, Institut d’Alembert, Université Pierre et Marie Curie 75252 Paris, France, [email protected]
Cubesat standard of nanosatellites for universities proposed by univ. Stanford (1kg, 1W, 10cm)
Inaugural fligh of VEGA on 13 Feb. 2012 from Europe's Spaceport in French Guiana with 9 small satellites from Poland, Italy, Hungary, Spain, Romania, France (Robusta 1)
First French nanosatelliteRobusta 1Univ. Montpellier2
Today:no on-board thruster, strong limitation of missions in space
Different concepts are studied: - ionic liquid ejection by electric field (EPFL Lausanne, Pays-Bas, GB, MIT) - emission of ions after ablation of teflon by magnetic field (Univ. of Surrey, GB) - emission of ions by field effect(Austria) - emission of Xe ion by electrostatic effect (UPMC, UVSQ)
Training: - Physical analysis of the different concepts (from published papers in English) - Analysis of the performances (specific impulse, level of thrust, efficiency, !V…) - State-of-art (projects, first manufactured thruster, results of tests in vacuum chamber, ..) - Advantage/disadvantages
Oct. 3, 2012
jeudi 4 octobre 2012
http://www.esa.int/esaMI/Launchers_Access_to_Space/ASEKMU0TCNC_1.htmlhttp://www.esa.int/esaMI/Launchers_Access_to_Space/ASEKMU0TCNC_1.htmlhttp://www.esa.int/esaMI/Launchers_Access_to_Space/ASEKMU0TCNC_1.html
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Simulation of the flow in recorder Lagrée P-Y [email protected] Fabre B.
expériment ∂’Alembert LAM
- simulation of the instability of the jet- coupling with the cavity - comparisons with a compressible code CAAmeleon
Auvray R.
jeudi 4 octobre 2012
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The Hour Glass
Simulation of granular flows Lagrée P-Y [email protected] Staron Lydie
simulation Gerris µ(I) versus DCM
fine understanding of the structure of the flowsimulation of other flows
jeudi 4 octobre 2012
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pump
measurement point
8
9
7
4
6
2
5
1
3
1 m
0 0.1 0.2 0.3 0.4 0.5 0.6−10
−5
0
5
10
15
20
25
Time(s)
mea
n sp
eed(
cm/s
)
ExperimentalFEFV−1orderFV−2order
Simple artery model!Custom made 70kPa"(Ultrasonic diagnostic system)
Doppler system
Measurement system used
Measurement point
Fig. 22: Measurement system used.
3
2
Am
plitu
de [a.u
.]
Inner pressure
Flow velocity
1
0
Am
plitu
de [a.u
.]
-1
1.41.21.00.80.60.40.20.0
Time [s]
Fig. 23: Observed inner pressure wave and flow velocity.
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∂Q
∂t+ γ
∂
∂x
Q2
S= −Sρ−1 ∂P
∂x− cf
Q
S
∂S
∂t= −∂Q
∂x
P = P0 + k(R−R0)(1 + ε(R−R0)
R0) + η
∂R
∂t
Simulation of arterial flows
2 kP
a
Incident wave
Reflected waves
83.0 cm
Pressure
2
55.0 cm
83.0 cm
Time
Measurement Simulation
0.5 s
27.5 cm
Fig. 15: Measured and simulated pressure waves (tube D).
Pressure
Time
Measured wave
Simulation (x 1.0)
Simulation (x 2.0)
Simulation (x 3.0)
0.5 s
1 kP
a
Offset level
Fig. 16: Effects of fluid viscous parameters to the pressure waves at the first point.
! "#A
$% &
'( )
BB
C C
Silicone tubesBifurcations
Reflection points Measurement point
Fig. 17: Structure of a simple artery model.
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Lagrée P-Y [email protected] Fullana J.-M. Wang X.
jeudi 4 octobre 2012
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Simulation of arterial flows Lagrée P-Y [email protected] Fullana J.-M.
where i ¼ 0; 1; 2 refer to the parent and two daughtervessels and Yi " Ai=rci is the characteristic admittanceof the ith vessel where Ai is the cross-sectional area. Thetransmission coefficient is T ¼ 1þ R: Both the reflec-tion and transmission coefficients at the junction dependupon the area and wave speed of each segment. If thereis no reflection, R ¼ 0; the junction is called ‘wellmatched’. We note that this equation is valid for bothforward and backward waves if the parent and daughterbranches are determined relative to the wave rather thanmorphologically. Thus, a single bifurcation will havedifferent reflection coefficients for waves approaching itin the three different vessels. This directional sensitivityof the reflection coefficient means that a junction that iswell matched for forward waves can cause substantialreflections for backward waves (Hardung, 1952).
Calculating the reflection coefficients for the differentbifurcations from the data collected by Westerhof et al.
(1969) and Stergiopulos et al. (1992), we found that thedata resulted in relatively large reflections coefficientsfor several of the junctions in the model. For example,the junction between the thoracic aorta I (segment 18)and the intercostal and the thoracic aorta II (segments26 and 27) have a 50% decrease in area which results ina reflection coefficient RE0:25: These reflections tendedto obscure the effects of the reflections from theperipheral segments and so we decided to adjust theradii of the vessels to ensure that our model system waswell matched for forward travelling waves. This wasdone by holding the parent vessel radius constant andincreasing or decreasing the radii of both daughtervessels by the same fraction until R ¼ 0: Table 1 includesthe adjusted radii and the wave speeds calculated fromthem with the original radii and wave speeds given inbrackets. Similarly, we found that the symmetry in theoriginal data for the length of the arteries in the legsresulted in simultaneous reflections from each of the legswhich resulted in unwanted interactions between re-flected waves and so we somewhat arbitrarily increasedthe length of each artery in the right leg by 1 mm: Theproblem of simultaneous reflections from the arms didnot arise because they are not symmetric.
For the resistances at the end of each terminal artery,the reflection coefficient depend upon the peripheralresistance, Rp (Lighthill, 1978):
RT "dP
DP¼
RP $ rcRP þ rc
:
The values for the terminal reflection coefficients, RT;are included in Table 1.1
2.4. The method of calculation
The method of characteristics outlined above does notmake any assumptions about linearity. Indeed, thesolution of the full, non-linear equations of one-dimensional flow is one of the advantages of themethod. There are two principal non-linearities in thatsolution: the characteristic directions depend upon thevelocity of the blood and the wave speed can be afunction of pressure. Both of these non-linearities can beincorporated into the method, but in this study we havechosen to concentrate our attention on the effects of thecomplex geometry of the arteries and so we will assumethat both of these non-linearities have a negligible effect,i.e. c ¼ constant in each arterial segment and U5c: Weplan to explore the non-linear effects in a subsequentpublication.
With this assumption of linearity, it is possible toapply the concept of the transfer function to the analysis
ARTICLE IN PRESS
Fig. 1. The arterial model used in the calculation. This model wasoriginally introduced by Westerhof et al. (1969) and contains data fordiameter, length, wall thickness and Young’s modulus for the 55largest arteries (after Stergiopulos et al., 1992).
1The use of RP as peripheral resistance and RT as terminal reflectioncoefficient is unfortunate nomenclature, but one that is forced upon usby standard usage.
J.J. Wang, K.H. Parker / Journal of Biomechanics 37 (2004) 457–470 459
Artery 49
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−1
0
1
2
3
4
5x 10−4
Time(s)
Flux
(cm
3 s−1
)
DGFEFVFD
Figure: Flux
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.5
0
0.5
1
1.5
2
2.5
3
Time(s)
Pres
sure
DGFEFVFD
Figure: Pressure
Artery 45
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.5
0
0.5
1
1.5
2
2.5
3x 10−4
Time(s)
Flux
(cm
3 s−1
)
DGFEFVFD
Figure: Flux
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.5
0
0.5
1
1.5
2
2.5
3
Time(s)
Pres
sure
DGFEFVFD
Figure: Pressure
Artery 40
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.5
0
0.5
1
1.5
2
2.5x 10−4
Time(s)
Flux
(cm
3 s−1
)
DGFEFVFD
Figure: Flux
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.5
0
0.5
1
1.5
2
2.5
Time(s)
Pres
sure
DGFEFVFD
Figure: Pressure
Artery 22
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−2
0
2
4
6
8
10
12
14x 10−4
Time(s)
Flux
(cm
3 s−1
)
DGFEFVFD
Figure: Flux
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.5
0
0.5
1
1.5
2
2.5
Time(s)
Pres
sure
DGFEFVFD
Figure: Pressure
Artery 16
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−2
0
2
4
6
8
10
12
14x 10−4
Time(s)
Flux
(cm
3 s−1
)
DGFEFVFD
Figure: Flux
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.5
0
0.5
1
1.5
2
2.5
Time(s)
Pres
sure
DGFEFVFD
Figure: Pressure
Flux Pressure
Q(t) P (t)
Vénus of MOdeLIsation
Artery 1
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.02
0
0.02
0.04
0.06
0.08
0.1
Time(s)
Flux
(cm
3 s−1
)
DGFEFVFD
Figure: Flux
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2−0.5
0
0.5
1
1.5
2
2.5
Time(s)
Pres
sure
DGFEFVFD
Figure: Pressure
Wang X.
- add viscoelasticity and tension- study the influence of parameters
jeudi 4 octobre 2012
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Maurice Rossi
[email protected]édéric Doumenc
evaporation of polymer
jeudi 4 octobre 2012
mailto:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]
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[email protected]@gmail.com
Gianmarco Pinton
Daniel Fuster & S. Zaleski [email protected]
jeudi 4 octobre 2012
mailto:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]
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Figure à faire avec plus de lumière: fond blanc, avec moins de temps succesifs.Faire une séquance ou l’on voit la paille que je tiens... Indiquer l’intervalle de temps
fig1: le phénomène
g
Time5mm
t=0 t=... t=... t=...
Liqu
id c
olum
n in
free
fall
free fall
Ret
ract
ion
Texte
jerome hoepffner
jeudi 4 octobre 2012
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fig3jerome hoepffner
jeudi 4 octobre 2012
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ça coupeSphère
Notz et basaran. Diagramme de phase
Coupe sous forme de ligament
Coupe en f
orme
ramassée
Est-ce qu’on peut faire une distinction entre les cas qui se coupent en forme de ligament, et les choses qui se coupent en forme bizarre juste lorsque le ligament commence à se ramasser sur lui même (lorsque les deux bout en retractation commencent à se sentir l’un l’autre?)
Sphère
jerome hoepffner
jeudi 4 octobre 2012
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Tim
e
Radius 1
Figure avec fond blancla vorticité et en plus les lignes de courant pour faire voir le venturi?Avec un zoom qui montre le champ de vitesseFigures avec Matlab.
Taylor-Culick speed
t=0
t=...
t=...
t=...
t=...
fig2: le numérique jerome hoepffner
jeudi 4 octobre 2012
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t=[...]
Time
t=[...] t=[...] t=[...]
fig3: la figure des particulesjerome hoepffner
jeudi 4 octobre 2012
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Time
a) Pinching; Oh=???
fig4: la figure du colorant
b) Avoiding the pinching; Oh=???
t=0
jerome hoepffner
jeudi 4 octobre 2012
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Too viscous
Too shortPinch
Ici j’essaye de faire quelque chose dans l’esprit de reprendre le graph de Hutching, mais en le transformant en information pour la localisation en x des evènements: premier pinch et premier et suivants évitements. Chouette: pour le visqueux, ça fait plein d’évitements successifs, qui vont faire de plus en plus de lignes vers le haut.
Sur ce graph, on peut aussi mettre les images de la forme du ligament au moment ou les choses se passent si on trouve la place.
Je crois bien que la forme de ce qui se passe pour lévitement dans le cas semi-infini, va donner des idées claires pour les limites entre le pinch et le no pinch dans le cas.
On pourrai déjà commencer à mettre des points en regardant le film de Gounséti, mais il faudrai metre plus de maillage, et faire les choses plus proprement.
La question laissée de côté: que se passe t-il lorsque les deux parties du ligament se rencontrent: des effets spéciaux qui promeuve le pinch ou le no pinch? Ce sera important si notre critère doit prédire la longueur critique...
2nd Pinch
Avoidanc
e
Breakup
Voici probablement le graphique qui résumera les calculs que nous avons fait en visqueux...
Even in the inviscid case, the thing is too small to make a blob and a neck
Pinch-off delayed by capillary Venturi
event
Pinch
2nd Pinch
Avoidance
There is not even the formation of a neck, thus no pinching and no avoidance
Direct pinch-off , no avoidance
fig5: la figure historiquejerome hoepffner
jeudi 4 octobre 2012
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Timea) Retractation of a cone
Vortex shedding
Self-similar recoil
break-up
Vortex sheddingbreak-up
Time
fig6: la figure de la diversité
b) Ligament in extension
Figure à faire avec du colorant pour avoir des images plus souriantes?
jerome hoepffner
jeudi 4 octobre 2012
mailto:[email protected]:[email protected]