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INSTABILITY MECHANISMS of ELECTRICALLY CHARGED LIQUID JETS in ELECTROSPINNING vs. ELECTROSPRAYING A.L. Yarin Department of Mechanical Eng. UIC, Chicago
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Acknowledgement D.H. Reneker E. Zussman A.Theron S.N. Reznik A.V. Bazilevsky C.M. Megaridis R. Srikar, S.Sinha Ray Israel Science Foundation, Volkswagen Stiftung- Germany, National Science Foundation through grants NSF-NIRT CBET 0609062 and NSF-NER-CBET 0708711-U.S.A.
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Outline 1. Basic physics of the process: bending 2. Branching 3. Multiple jets 4. Needleless electrospinnning 5. Buckling 6. Self-assembly: Nanoropes and crossbars 7. CNT-containing nanofibers 8. Co-electrospinning: nanotubes&nanofluidics
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Queen Elizabeth I was interested in electricity
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William Gilbert made experiments for the Queen
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In 1600 Gilbert published a book on his experiments
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Modern Reproduction
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Modern reproduction
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G.I.Taylor’s Experiments with Glycerin
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Electrospraying
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Modern reproduction
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Splaying
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Nanofibers (Definition)
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30,000 Volt Basic Physics of Electrospinning
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Electrospinning Setup
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Process Initiation: Taylor Cone Yarin A L, Reneker D H, Kombhongse S, J. App. Phys. 90, 2001
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Theoretical Model of Jet Initiation
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Experiment on Jet Initiation
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# 1 # 2 # 3
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Experiment vs. Theory -0.50 0.5 1.0 r 2.0 1.5 1.0 0.5 0 z 10 9 8 9 8 7 6 7 6 5 5 4 4 3 2 1 2 1 3
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Experiment vs. Theory
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Theoretical Model of Jet Initiation The Reynolds number The electrical Bond number The initial contact angle
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Theoretical Model of Jet Initiation 1.5 1.0 0.5 1.0 1.52.0 r 2 1 z 0 z
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Theoretical Model of Jet Initiation
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1 – radial velocity at the surface 2 – vertical velocity at the surface
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Theoretical Model of Jet Initiation Critical electric Bond number vs. static contact angle
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Theoretical Model of Jet Initiation Predicted electric current vs. applied voltage
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Theoretical Model of Jet Initiation Predicted convective and conductive parts of the electric current
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– Dielectric constant – Electric conductivity – Surface tension a 0 – Droplet diameter – Viscosity – Mass density V 0 – Characteristic fluid velocity in droplet V * – Characteristic velocity in jet l – Characteristic length scale H – Hydrodynamic characteristic time C – Characteristic charge relaxation time Re – Reynolds number Electrically-driven bending instability A collection of point charges cannot be maintained at equilibrium: Earnshaw theorem The Electrospinning Mechanism 1.Reneker D H, Yarin A L, Fong H, Koombhongse S, J. App. Phys. 87, 2000 2.Reznik S N, Yarin A L, Theron A, Zussman E, J. Fluid Mech. 516, 2004 The “ Taylor cone ” droplet Jet initiation
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Modern reproduction
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Basic Equations: Discretized Quasi- one-dimensional Equations
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Electrically-driven Bending Instability time i i= N i+ 1 i - 1 i = 1 F 0 ~ q. E F ve ~ velocity difference F c ~ coulomb force i =1 i =2 time i = 1 i = 101 time i + 1 i i - 1 F cap ~ surface tension effects from local curvature and cross section
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Electrospinning of Polymer Solutions Reneker D H, Yarin A L, Fong H, Koombhongse S, J. App. Phys. 87, 2000 Yarin A L, Koombhongse S, Reneker D H, J. App. Phys. 89, 2001
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Electrospinning of Polymer Solutions Reneker, Yarin, Fong, Koombhogse
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Electrospinning of Polymer Solutions Reneker, Yarin, Fong, Koombhongse
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0 ms 16.5 ms 18 ms 22 ms 24.5 ms 30.5 ms 31.5 ms 32 ms 37.5 ms 38.5 ms Reneker D H, Yarin A L, Fong H, Koombhongse S, J. App. Phys. 87, 2000
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Nanofiber Garlands Reneker D H, Kataphinan W, Theron A, Zussman E, Yarin A L, Polymer 43, 2002 Electrospinning of PCL photographed at 2000fps (playback speed = 30fps)
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2m2m 8m8m 200nm 20 m 1m1m 1m1m As-spun Polymer Nanofibers PEO PCL Siloxane Polyacrylic acid PVA PPV
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Branching in PCL Electrospinning Yarin A L, W. Kataphinan, D.H. Reneker J. Appl. Phys. 98, 064501 (2005)
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Branching in PCL Electrospinning
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Experiment with a 3x3 Setup S.A.Theron, A.L. Yarin, E. Zussman, E. Kroll, Polymer, 46, 2005
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Experiment with a 9x1 Setup
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Multiple Jet Electrospinning Multiple Jet Electrospinning
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Theoretical Model of 3x3 Multiple Jets
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Theoretical Model of 3X3 Multiple Jets
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Theoretical Model of 3x3 Multiple Jets
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Theoretical Model of 9x1 Multiple Jets
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a b c f d e H Upward Needleless Electrospinning of Multiple Nanofibers a- Layer of magnetic fluid b- Layer of polymer solution Yarin&Zussman Polymer 45, 2977-2980 (2004)
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Magnetic Fluid Cones
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Perturbed Outer Surface of Polymer Solution
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Electrospinning of Multiple Nanofibers
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As-spun Nanofibers
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Buckling of Electrified Jets Han,Reneker,Yarin, Polymer 48, 6064-6076 (2007)
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Buckling of Electrified Jets Han,Reneker,Yarin, Polymer 48, 6064-6076 (2007)
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Self-assembly: Nanoropes and Crossbars. A Sharpened Wheel – Electrsostatic Lens Experimental setup Plot of the electric field strength in the region of the wheel Tip of the wheel Axis of the wheel Theron A, Zussman E, Yarin A L, Nanotechnology 12, 2001 Tip of wheel Tip of syringe
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3D Nano-structures A rotating table on the wheel collector enables collection of multiple nanofiber layers at different angles. Theron A, Zussman E, Yarin A L, Nanotechnology 12, 2001
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Aligned Nanofibers: 2D Arrays Fiber Diameter: 100nm - 500nm Pitch: 1 m - 1.5 m 2m2m 2m2m
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Nanoropes 5m5m 2m2m
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Diameter: 50nm - 100nm Pitch: 2 m - 3 m. 3D Nanocrossbars Theron A, Zussman E, Yarin A L, App. Phys. Lett. 82, 2003
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00 180 Sink flow CNT ~200 nm CNTs in Polymer Solution (PEO) CNT Alignment During Electrospinning of Polymer Solutions Dror Y, Salalha W, Khalfin R, CohenY,Yarin A L, Zussman E, Langmuir 19, 2003; Langmuir, 20, 2004.
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CNTs Embedded and Aligned in Electrospun Nanofibers 50nm Single-wall carbon nanotubes embedded in nanofiber Multi-wall carbon nanotube embedded in nanofiber
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1 st CNT 2 st CNT Overlap area
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Co-electrospinning: Compound Nanofibers Solution: PEO (1e6) 1% in ethanol/water Inner solution contains 2% bromophenol Outer solution contains 0.2% bromophenol Sun Z, Zussman E, Yarin A L, Wendorff J H, Greiner A, Advanced Materials 15, 2003 and Nanotubes
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Co-electrospinning Zussman E, Yarin A L, Bazilevsky A.V., R. Avrahami, M. Feldman, Advanced Materials 18, 2006 Core: PMMA Shell: PAN
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Carbonization Core: PMMA Shell: PAN
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Turbostratic Carbon Nanotubes Core: PMMA Shell: PAN
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Core Entrainment Problems Core: PMMA Shell: PAN
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Numerical Simulation: Core-shell Jet (a) (b) S.N. Reznik, A.L. Yarin, E. Zussman, L. Bercovici. Phys. Fluids v. 18, 062101 (2006)
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Co-electrospinning with Protrusion Zussman E, Yarin A L, Bazilevsky A.V., R. Avrahami, M. Feldman, Advanced Materials v. 18, 348-353 (2006). Stress level at the interface: ~ 5000 dyne/(square cm)
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Optical appearance of a PMMA/PAN emulsion about 1 day after mixing of a homogeneous blend containing 6 wt% PMMA + 6% PAN in DMF Core-Shell Nanofibers from PMMA-PAN Emulsion A.V.Bazilevsky, A.L. Yarin, C.M. Megaridis Langmuir v.23, 2311-2314 (2007).
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Experimental set-up and hollow carbon tubes
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Schematic of the modeled PAN/DMF flow around a spherical PMMA/DMF droplet trapped over the core-shell Taylor cone
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The Stokes equations in Lubrication approximation
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Integrating the momentum balance eq using the no-slip&free surface conditions, we find
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Fine emulsion should result in multi-core fibers
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Conclusion (i) Sophisticated nanofibers and nanotubes are relatively easily achievable. (ii) In situ self-assembly is possible. (iii) Jet bending is the leading mechanism. Branching is secondary. No splaying. (iv) Modeling is quite reliable for jet initiation and bending stages in both single- and multiple-jets cases. (v) Core-shell nanofibers and hollow nanotubes can be made. (vi) Co-electrospun nanofluidics is possible. (vii) Bio-medical applications are tempting and challenging.
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