Axisymmetric instabilities of electrically driven viscoelastic jets

Journal of Non-Newtonian Fluid Mechanics

Volumn 153, Issue 2-3, 2008, Pages 130-148

  Carroll, Colman P ^a   Joo, Yong Lak ^a  

^a Cornell University   (United States)

Author keywords

Axisymmetric mode; Boger fluids; Electrospinning; Stability

Indexed keywords

ELASTICITY; ELECTROSPINNING; FLUIDS; GROWTH RATE; HIGH SPEED PHOTOGRAPHY; JETS; MODAL ANALYSIS; OPTICAL BISTABILITY; POLYMER SOLUTIONS; POLYMERS; SPINNING (FIBERS); STABILIZATION; STEEL ANALYSIS; SYSTEM STABILITY; VISCOELASTICITY; VISCOSITY;

(ABIOTIC AND BIOTIC) STRESS; AXISYMMETRIC; BOGER FLUIDS; COIL STRETCH TRANSITION; CRITICAL CONDITIONS; DIGITIZED IMAGES; ELECTRIC STRESSING; ELECTROSPUN; ELSEVIER (CO); ENERGY EQUATION (EE); EXPERIMENTAL INVESTIGATIONS; EXPERIMENTAL STUDIES; HIGH-SPEED PHOTOGRAPHY; INSTABILITY GROWTH; LINEAR STABILITY; NON NEWTONIAN; OLDROYD B FLUIDS; POLYISOBUTYLENE (PIF); POLYMER MOLECULES; STABILITY ANALYSIS (IGC: E5/E13); STRONG STABILIZATION; VISCOELASTIC BEHAVIORS; WAVE NUMBERS;

LINEAR STABILITY ANALYSIS;

EID: 47049118692     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.12.005     Document Type: Article

References (43)

1. Huang Z.M., Zhang Y.Z., Kotaki M., and Ramakrishna S. A review on polymer nanofibers by electrospinning and their application in nanocomposites. Compos. Sci. Technol. 63 (2003) 2223-2253
2. Tsai P.P., Schreuder-Gibson H., and Gibson P. Different electrostatic methods for making electret filters. J. Electrostat. 54 (2002) 333-341
3. Bergshoef M.M., and Vaneso G.J. Transparent nanocomposites with ultrathin, electrospun Nylon-4,6 fiber reinforcement. Adv. Mater. 11 (1999) 1362-1365
4. Huang L., McMillan R.A., Apkarian R.P., Pourdeyhimi B., Conticello V.P., and Chaikof E.L. Generation of synthetic elastin-mimetic small diameter fibers and fiber networks. Macromolecules 33 (2000) 2989-2997
5. Reneker D.H., Yarin A.L., Fong H., and Koombhongse S. Bending instability of electrically charged liquid jets of polymer solutions in electrospinning. J. Appl. Phys. 87 (2000) 4531-4547
6. Son W.K., Youk J.H., Lee T.S., and Park W.H. The effects of solution properties on electrospinning of ultrafine poly(ethylene oxide) fibers. Polymer 45 (2004) 2959-2966
7. Hohman M.M., Shin M., Rutledge G., and Brenner M.P. Electrospinning and electrically forced jets: I. Stability theory. Phys. Fluids 13 (2001) 2201-2220
8. Hohman M.M., Shin M., Rutledge G., and Brenner M.P. Electrospinning and electrically forced jets: II. Applications. Phys. Fluids 13 (2001) 2221-2236
9. Yarin A.L., Koombhongse S., and Reneker D.H. Bending instability in electrospinning of nanofibers. J. Appl. Phys. 89 (2001) 3018-3026
10. Rayleigh L. On the instability of jets. Proc. London Math. Soc. 10 (1879) 473
11. Taylor G.I. Disintegration of water drops in an electric field. Proc. R. Soc. Lond. A 280 (1964) 383-397
12. Taylor G.I., and McEwan A.D. Stability of a horizontal fluid interface in a vertical electric field. J. Fluid Mech. 22 (1965) 1-15
13. Taylor G.I. Electrically driven jets. Proc. R. Soc. Lond. A 313 (1969) 453-475
14. Huebner A.L., and Chu H.N. Instability and breakup of charged jets. J. Fluid Mech. 49 (1971) 361-372
15. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover Publications, Oxford, England, 1981.
16. Yu J.H., Fridrikh S.V., and Rutledge G.C. The role of elasticity in the formation of electrospun fibers. Polymer 47 (2006) 4789-4797
17. Feng J.J. The stretching of an electrified non-Newtonian jet: a model for electrospinning. Phys. Fluids 14 (2002) 3912-3926
18. Feng J.J. Stretching of a straight electrically charged viscoelastic jet. J. Non-Newt. Fluid Mech. 116 (2003) 55-70
19. Melcher J.R., and Warren E.P. Electrohydrodynamics of a current-carrying semi-insulating jet. J. Fluid Mech. 47 (1971) 127-143
20. Gañán-Calvo A.M. On the theory of electrohydrodynamically driven capillary jets. J. Fluid Mech. 335 (1997) 165-188
21. Carroll C.P., and Joo Y.L. Electrospinning of viscoelastic Boger fluids: modeling and experiments. Phys. Fluids 18 (2006) 053102
22. Prilutski G., Gupta R.K., Sridhar T., and Ryan M.E. Model viscoelastic liquids. J. Non-Newt. Fluid Mech. 12 (1983) 233-241
23. Binnington R.J., and Boger D.V. Constant viscosity elastic liquids. J. Rheol. 29 (1985) 887-904
24. Mackay M.E., and Boger D.V. An explanation of rheological properties of Boger fluids. J. Non-Newt. Fluid Mech. 22 (1987) 235-243
25. Joo Y.L., and Shaqfeh E.S.G. Observations of purely elastic instabilities in the Taylor-Dean flow of a Boger fluid. J. Fluid Mech. 262 (1994) 27-73
26. Kirichenko V.N., Petryanov-Sokolov I.V., Suprun N.N., and Shutov A.A. Asymptotic radius of a slightly conducting liquid jet in an electric field. Dok. Akad. Nauk SSSR 289 4 (1986) 817-820
27. Chang H.C., Demekhin E.A., and Kalaidin E. Iterated stretching of viscoelastic jets. Phys. Fluids 11 (1999) 1717-1737
28. Drazin P.G., and Reid W.H. Hydrodynamic Stability (1987), Cambridge University Press, Cambridge
29. Pearson J.R.A., and Matovich M.A. Spinning a molten threadline-stability. Ind. Eng. Chem. Fundam. 8 (1969) 605-609
30. Fisher R.J., and Denn M.M. A theory of isothermal melt spinning and draw resonance. AIChE J. 22 (1976) 236-246
31. Feinberg M.R., and Schowalter W.R. Sufficient conditions for stability of fluid motions constitutively described by the infinitesimal theory of viscoelasticity. Ind. Eng. Chem. Fundam. 8 (1969) 332-338
32. Feinberg M.R., and Schowalter W.R. Conditions for the stability of cylindrical Couette flow of certain viscoelastic liquids. 5th Int. Congr. on Rheology, vol. 4 (1969) 201-216
33. Shaqfeh E.S.G. Purely elastic instabilities in viscometric flows. Annu. Rev. Fluid. Mech. 28 (1996) 129-185
34. Sureshkumar R. Local linear stability characteristics of viscoelastic periodic channel flow. J. Non-Newt. Fluid Mech. 97 (2001) 125-148
35. Smith M.D., Joo Y.L., Armstrong R.C., and Brown R.A. Linear stability analysis of flow of an Oldroyd-B fluid through a linear array of cylinders. J. Non-Newt. Fluid Mech. 109 (2003) 13-50
36. Theron S.A., Zussman E., and Yarin A.L. Experimental investigation of the governing parameters in the electrospinning of polymer solutions. Polymer 45 (2004) 2017-2030
37. Goldin M., Yerushalmi J., Pfeffer R., and Shinnar R. Breakup of a laminar capillary jet of a viscoelastic fluid. J. Fluid Mech. 38 (1969) 689-711
38. 3 via an electrospinning technique. J. Phys. Chem. Solids 67 (2006) 1869-1872
39. 2 hollow fibers with mesoporous walls: sol-gel combined electrospun fabrication and photocatalytic properties. J. Phys. Chem. B 110 (2006) 11199-11204
40. Jaeger R., Schönherr H., and Vaneso G.J. Chain packing in electro-spun poly(ethylene oxide) visualized by atomic force microscopy. Macromolecules 29 (1996) 7634-7636
41. Funada T., and Joseph D.D. Viscoelastic potential flow analysis of capillary instability. J. Non-Newt. Fluid Mech. 111 (2003) 87-105
42. Entov V.M. Stability of capillary jets of elasticoviscous fluids. J. Eng. Phys. 34 (1978) 159-164
43. Kim G., Park J., and Han H. Production of microsized PMMA droplets using electrospraying with various auxiliary fields. J. Colloid Interface Sci. 299 (2006) 593-598