Mathematical Models of Bead-Spring Jets during Electrospinning for Fabrication of Nanofibers

Authors

  • Thananchai DASRI School of Science and Technology, Nong Khai Campus, Khon Kaen University, Nong Khai 43000

Keywords:

Nanofibers, electrospinning, mathematical model, magneto-electrospinning

Abstract

Electrospinning is a popular technique to produce structures in the form of nanofibers. These nanofibers can be used for many applications such as filtration composites, insulator and energy storage. The technique is based on the electrostatic force that acts on the polymeric solution. However, during the electrospinning process the liquid jet shows unstable behavior. This problem causes the random formation of nanofibers. This article focuses on the mathematical models to describe the dynamics behavior of the fluid jet in the electrospinning process. There are a lot of different parameters in the model. Variation in these parameters results in a change in jet behaviors. This brief review is a summary of the authors’ recent work. The Reneker’s model and Wu’s model are used to describe the dynamics behavior of the jet used in electrospinning.

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Author Biography

Thananchai DASRI, School of Science and Technology, Nong Khai Campus, Khon Kaen University, Nong Khai 43000

School of Science and Technology

References

PR Kumar, N Khan, S Vivekanandhan, N Satyanarayana, AK Mohanty and M Misra. Nanofibers: effective generation by electrospinning and their applications. J. Nanosci. Nanotechnol. 2012; 12, 1-25.

WE Teol and S Ramakrishna. A review on electrospinning design and nanofibre assemblies. Nanotechnology 2006; 17, R89-R106.

XH Qin and SY Wang. Electrospun nanofibers from crosslinked poly(vinyl alcohol) and its filtration efficiency. J. Appl. Polym. Sci. 2008; 109, 951-6.

JD Schiffman and CL Schauer. One-step electrospinning of cross-linked chitosan fibers. Biomacromolecules 2007; 8, 2665-7.

T Subbiah, GS Bhat, RW Tock, S Pararneswaran and SS Ramkumar. Electrospinning of nanofibers. J. Appl. Polym. Sci. 2005; 96, 557-69.

M Naebe, T Lin, MP Staiger, LM Dai and XG Wang. Electrospun single-walled carbon nanotube/polyvinyl alcohol composite nanofibers: structure-property relationships. Nanotechnology 2008; 19, 305702.

SJ Lee, JJ Yoo, GJ Lim, A Atala and Stitze. In vitro evaluation of electrospun nanofiber scaffolds for vascular graft application. J. Biomed. Mater. Res. Part A 2007; 83A, 999-1008.

P Heikkila, A Taipale, M Lehtimaki and A Harlin. Electrospinning of polyamides with different chain compositions for filtration application. Polym. Eng. Sci. 2008; 48, 1168-76.

MM Munir, F Iskandar, Khairurrijal and K Okuyama1. A constant-current electrospinning system for production of high quality nanofibers. Rev. Sci. Instrum. 2008; 79, 093904.

C Huang, S Chen, C Lai, DH Reneker, H Qiu, Y Ye and H Hou. Electrospun polymer nanofibres with small diameters. Nanotechnology 2006; 17, 1558-63.

DH Reneker and I Chun. Nanometre diameter fibres of polymer, produced by electrospinning. Nanotechnology 1996; 7, 216-23.

OO Dosunmu, GG Chase, W Kataphinan and DH Reneker. Electrospinning of polymer nanofibres from multiple jets on a porous tubular surface. Nanotechnology 2006; 17, 1123-7.

Z Zhou, K Liu, C Lai, L Zhang, J Li, H Hou, DH Reneker and H Fong. Graphitic carbon nanofibers developed from bundles of aligned electrospun polyacrylonitrile nanofibers containing phosphoric acid. Polymer 2010; 51, 2360-7.

X Fang and DH Reneker. DNA fibers by electrospinning. J. Macromolecular Sci. Phys. 1997; B36, 169-73.

AG MacDiarmid. Nobel lecture: ‘‘Synthetic metals’’: A novel role for organic polymers. Rev. Mod. Phys. 2001; 73, 701-12.

L Jin, T Wang, ML Zhu, MK Leach, YI Naim, JM Corey, ZQ Feng and Q Jiang. Electrospun fibers and tissue engineering. J. Biomed. Nanotechnols. 2012; 8, 1-9.

R Ramaseshan, S Sundarrajan and R Jose. Nanostructured ceramics by electrospinning. J. Appl. Phys. 2007; 102, 111101-17.

AF Spivak and YA Dzenis. Asymptotic decay of radius of a weakly conductive viscous jet in an external electric field. Appl. Phys. Lett. 1998; 73, 3067-9.

AF Spivak, YA Dzenis and DH Reneker. A model of steady state jet in the electrospinning process. Mech. Res. Commun. 2000; 27, 37-42.

MM Hohman, M Shin, G Rutledge and MP Brenner. Electrospinning and electrically forced jets I: stability theory. Phys. Fluids. 2001; 13, 2201-20.

MM Hohman, M Shin, G Rutledge and MP Brenner. Electrospinning and electrically forced jets II: applications. Phys. Fluids. 2001; 13, 2221-36.

JJ Feng. The stretching of an electrified non-Newtonian jet: a model for electrospinning. Phys. Fluids. 2002; 14, 3912-26.

JJ Feng. Stretching of a straight electrically charged viscoelastic jet. J. Non-Newtonian Fluid Mech. 2003; 116, 55-70.

DH Reneker, AL Yarin, H Fong and S Koombhongse. Bending instability of electrically charged liquid jets of polymer solutions in electrospinning. J. Appl. Phys. 2000; 87, 4531-47.

AL Yarin, S Koombhongse and DH Reneker. On bending instability in electrospinning of nanofibers. J. Appl. Phys. 2001; 89, 3018-26.

SA Theron, AL Yarin, E Zussman and E Kroll. Multiple jets in electrospinning: experiment and modeling. Polymer 2005; 46, 2889-99.

CP Carroll and YL Joo. Discretized modeling of electrically driven viscoelastic jets in the initial stage of electrospinning. J. Appl. Phys. 2011; 109, 094315-9.

Y Wu, JY Yu, JH He and YQ Wan. Controlling stability of the electrospun fiber by magnetic field. Chao. Solit. Fract. 2006; 32, 5-7.

L Xu, Y Wu and Y Nawaza. Numerical study of magnetic electrospinning processes. Comput. Math. Appl. 2011; 61, 2116-9.

D Li and Y Xia. Electrospinning of nanofibers: Reinventing the wheel? Adv. Mater. 2004; 16, 1151-70.

WK Son, JH Youk, TS Lee and WH Park. The effects of solution properties and polyelectrolyte on electrospinning of ultrafine poly(ethylene oxide) fibres. Polymer 2004; 45, 2959-66.

WK Son, JH Youk, TS Lee and WH Park. Electrospinning of ultrafine cellulose acetate fibres: Studies of a new solvent system and deacetylation of ultrafine cellulose acetate fibres. J. Polym. Sci. Part B: Polym. Phys. 2004; 42, 5-11.

H Fong, I Chun and DH Reneker. Beaded nanofibers formed during electrospinning. Polymer 1999; 40, 4585-92.

L Wannatong, A Sirivat and P Supaphol. Effects of solvents on electrospun polymeric fibres: Preliminary study on polystyrene. Polym. Int. 2004; 53, 1851-9.

ZM Huang, YZ Zhang, M Kotaki and S Ramakrishna. A review on polymer nanofibers by electrospinning and their applications in nanocomposites. Compos. Sci. Technol. 2003; 63, 2223-53.

A Koski, K Yim and S Shivkumar. Effect of molecular weight on fibrous PVA produced by electrospinning. Mater. Lett. 2004; 58, 493-7.

D Rodoplu and M Mutlu. Effects of electrospinning setup and process parameters on nanofiber morphology intended for the modification of quartz crystal microbalance surfaces. J. Eng. Fiber. Fabr. 2012; 2, 118-23.

SA Theron, E Zussman, AL Yarin. Experimental investigation of the governing parameters in the electrospinning of polymer solutions. Polymer 2004; 45, 2017-30.

SD Vrieze, TV Camp, A Nelvig, B Hagstrom, P Westbroek and KD Clerck. The effect of temperature and humidity on electrospinning. J. Mater. Sci. 2009; 44, 1357-62.

C Wang, HS Chien, CH Hsu, YC Wang, CT Wang and HA Lu. Electrospinning of polyacrylonitrile solutions at elevated temperatures. Macromolecules 2007; 40, 7973-83.

CJ Thompson, GG Chase, AL Yarin and DH Reneker. Effects of parameters on nanofiber diameter determined from electrospinning model. Polymer 2007; 48, 6913-22.

JH He, L Xu, Y Wu and Y Liu. Review mathematical models for continuous electrospun nanofibers and electrospun nanoporous microspheres. Polym. Int. 2007; 56, 1323-9.

MS El Naschie. Nanotechnology for the developing world. Chao. Solit. Fract. 2006; 30, 769-73.

MS El Naschie. The Concepts of E Infinity: An elementary introduction to the Cantorian-fractal theory of quantum physics. Chao. Solit. Fract. 2004; 22, 495-511.

MS El Naschie. Topics in the mathematical physics of E-infinity theory. Chao. Solit. Fract. 2006; 30, 656-63.

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Published

2012-11-02

How to Cite

DASRI, T. (2012). Mathematical Models of Bead-Spring Jets during Electrospinning for Fabrication of Nanofibers. Walailak Journal of Science and Technology (WJST), 9(4), 287–296. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/449