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Dynamics of viscoelastic fluid filaments in microfluidic devices
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10.1063/1.2747660
/content/aip/journal/pof2/19/7/10.1063/1.2747660
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/7/10.1063/1.2747660

Figures

Image of FIG. 1.
FIG. 1.

Diagram of flow focusing geometry used to create Boger fluid droplets in silicone oil.

Image of FIG. 2.
FIG. 2.

(Color online) Left: MW PEO Boger fluid pinching off in the , , , and orifices. For all geometries, the PEO solution fills the orifice and the thread forms subsequently. The droplet pinches-off from the center line in the third image since the flow condition is not perfectly symmetric. Right: Schematics of droplet pinch-off sequence and definition of and . is defined as the smallest filament radius in the neck.

Image of FIG. 3.
FIG. 3.

(Color online) (a) Dimensionless filament radius vs relative pinch-off time for Newtonian fluids and polymeric fluids. (b) Pinch-off time vs channel dimensions for Newtonian fluids and polymeric fluids. Lines are guides for the eye.

Image of FIG. 4.
FIG. 4.

(Color online) Dimensionless filament radius vs relative pinch-off time for Newtonian fluids for four different channel sizes. Power law curve fits are shown in solid lines. has the orifice size of .

Image of FIG. 5.
FIG. 5.

(Color online) Dimensionless filament radius vs relative pinch-off time for MW Boger fluid for four different channel sizes. The inset of the figure shows a power law behavior at initial stage for larger geometries of and .

Image of FIG. 6.
FIG. 6.

(Color online) Dimensionless filament radius vs relative pinch-off time for molecular weight Boger fluid at four different channel sizes.

Image of FIG. 7.
FIG. 7.

(Color online) Dimensionless filament radius vs relative pinch-off time for molecular weight Boger fluid at four different channel sizes.

Image of FIG. 8.
FIG. 8.

(Color online) The relaxation times extracted from the filament radius measurements by using the elastocapillary theory vs molecular weights.

Image of FIG. 9.
FIG. 9.

(Color online) Dimensionless pinch-off time vs elasticity number for all experimental data. Red squares indicate polymer scission. The insert shows the lin-lin plot without polymer scission data, with the red solid line indicating the linear fit between and .

Image of FIG. 10.
FIG. 10.

(Color online) (a) Dimensionless pinch-off time vs number for all experimental data. There is only one point showing no bead formation (open lower triangle), it has the largest elastocapillary number and deviates the most from the linear curve fit. (b) Lin-lin plot of the experimental data with solid line showing the linear fit.

Image of FIG. 11.
FIG. 11.

(Color online) Bead formation during droplet pinch-off for Boger fluid passing a orifice in a flowing silicone oil. Since the flow condition is not perfectly symmetric, the droplet shown deviates from the center.

Tables

Generic image for table
Table I.

Properties of the Newtonian reference fluid and Boger fluids.

Generic image for table
Table II.

Flow rates used for each geometry size.

Generic image for table
Table III.

Important dimensionless numbers for Boger fluids with different MW flowing at four different geometries.

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/content/aip/journal/pof2/19/7/10.1063/1.2747660
2007-07-12
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Dynamics of viscoelastic fluid filaments in microfluidic devices
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/7/10.1063/1.2747660
10.1063/1.2747660
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