Physical principles of nanofiber production 11. liquid jet
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Transcript of Physical principles of nanofiber production 11. liquid jet
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Xiao-Hong Quin & col
Donghua University, Shanghai, China
Effect of LiCl on electrospinning of PAN polymer solution:
theoretical analysis and experimental verification
Polymer, www.elsevier.com/locate/polymer
Reference:
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Surface density of the charge
Liquid density
Qur 2
Volume flow rate
IErkru 22
Dimensionless conductivity
El. current
Applied electric field
Surface Bulk
z
1,0
EzE
4
Bernoulli equation .2
1 2 consgzpu
gdz
d
rr
E
dz
dpu
dz
d
2
2 121
2
Viscous forceElectrostatic surface force
r
Eu
dz
d
2
2
2
E
5
Scaling and dimensionless analysis
02 rQur 022 rIErkru
r
Eu
dz
d
2
2
2
mass
current
energy Allometric relation
2/1 , rEr
/134 rrdz
d
2 ru
6
/134 rrdz
d mzzrr )(
Nonlinear differential equation
m=?
dzrdzrdz
d /134
1)/13()/13(4
1)/13(
1
mmm z
mdzzz
1)/13(4 mm)1/( zr1)/11(0 m
1/m
13
a b
Figure 4.4. Loops in unstable region of jet, caught on a slide glass -(a) PVA jet, (b) PEO jet.
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Figure 4.6. Schematic diagram showing the Pendulum mechanism: (1) ground collector, (2) pendulum and (3) spinning electrode with a polymer.