Mathematical modeling in electrospinning process of nanofibers: A detailed review

Cellulose Chemistry and Technology

Volumn 47, Issue 5-6, 2013, Pages 323-338

  Rafiei, S ^a   Maghsoodloo, S ^a   Noroozi, B ^a   Mottaghitalab, V ^a   Haghi, A K ^a  

^a UNIVERSITY OF GUILAN   (Iran)

Author keywords

Electrospinning; Jet instability; Modeling; Nanofibers

Indexed keywords

CONTRIBUTING FACTOR; ELECTROSPINNING PROCESS; ELECTROSPUNS; INCREASING PRODUCTION; JET INSTABILITY; POROSITY CONTROLLED; THEORETICAL MODELING; ULTRA-FINE FIBERS;

MATHEMATICAL MODELS; MODELS; NANOFIBERS; OPTIMIZATION; POLYMERS;

ELECTROSPINNING;

EID: 84884566415     PISSN: 05769787     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (76)

1. E. T. Thostenson, C. Li and T. W. Chou, Compos. Sci. Technol., 65, 491 (2005).
2. S. Iijima, Nature, 354, 56 (1991).
3. D. S. Bethune, C. H. Klang, M. S. De Vries, G. Gorman, R. Savoy, J. Vazquez and R. Beyers, Nature, 363, 605 (1993).
4. D. H. Reneker and I. Chun, Nanotechnology, 7, 216 (1996).
5. G. Kim, Y. S. Cho and W. D. Kim, Eur. Polym. J., 42, 2031 (2006).
6. S. Karra, Mechanical Engineering 2007, Indian Institute of Technology, Madras, p. 60.
7. S. A. Theron, E. Zussman and A. L. Yarin, Polymer, 45, 2017(2004).
8. Z. Liu, Y. Jiao, Y. Wang, C. Zhou and Z. Zhang, Adv. Drug Deliver. Rev., 60, 1650 (2008).
9. L. Xu, Chaos Soliton. Fract., 42, 1463 (2009).
10. E. M. Helgeson, N. K. Grammatikos, M. J. Deitzel and J. N. Wagner, Polymer, 49, 2924 (2008).
11. N. Bhardwaj and S. C. Kundu, Biotechnol. Adv., 28, 325 (2010).
12. M. Bognitzki, W. Czado, T. Frese, A. Schaper, M. Hellwig et al., Adv. Mater., 13, 70 (2001).
13. O. A. Basaran and R. Suryo, Nat. Phys., 3, 679 (2007).
14. V. Mottaghitalab and A. K. Haghi, Korean J. Chem. Eng., 28, 114(2011).
15. N. Titchenal and W. Schrepple, Mater. Sci. Eng., 460, 1 (2002).
16. Y. M. Shin, M. M. Hohman, M. P. Bernner and G. C. Rutledge, Polymer, 42, 9955 (2001).
17. M. Hohman, M. Shin, G. Rutledge and M. P. Brennera, Phys. Fluid., 13, 2201 (2001).
18. A. Holzmeister, A. L. Yarin and J. H. Wendorff, Polymer, 51, 2769 (2010).
19. A. Frenot and I. S. Chronakis, Curr. Opin. Colloid Interface Sci., 8, 64 (2003).
20. I. Y. Kim, S. J. Seo, H. S. Moon, M. K. Yoo, I. Y. Park et al., Biotechnol. Adv., 26, 1 (2008).
21. D. Czaplewski, J. Kameoka and H. G. Craighead, J. Vac. Sci. Technol. B, 21, 2994 (2003).
22. M. Ziabari, V. Mottaghitalab and A. K. Haghi, Korean J. Chem. Eng., 25, 905 (2008).
23. M. Ziabari, V. Mottaghitalab, S. T. McGovern and A. K. Haghi, Nanoscale Res. Lett., 2, 597 (2007).
24. S. Abdul Karini, A. Sulong, C. Azhari, T. Lee and N. Hwei, J. Appl. Sci. Res., 8, 2510 (2012).
25. K. Nasouri, H. Bahrambeygi, A. Rabbi, A. Mousavi Shoushtari and A. Kaflou, J. Appl. Polym. Sci., 126, 127 (2012).
26. R. Faridi-Majidi, H. Ziyadi, N. Naderi and A. Amani, J. Appl. Polym. Sci., 124, 1589 (2012).
27. A. Rabbi, K. Nasouri, H. Bahrambeygi, A. Mousavi Shoushtari and M. Babaei, Fibers Polym., 13, 1007 (2012).
28. M. Ziabari, V. Mottaghitalab and A. K. Haghi, Korean J. Chem. Eng., 25, 923 (2008).
29. H. Fong, I. Chun and D. H. Reneker, Polymer, 40, 4585 (1999).
30. J. H. Yu, S. V. Fridrikh and G. C. Rutledge, Polymer, 47,4789 (2006).
31. K. M. Forward and G. C. Rutledge, Chem. Eng. J., 183, 492 (2012).
32. T. A. Kowalewski, S. Blonski and S. Barral, Bull. Pol. Acad. Sci. Tech. Sci., 53, 385 (2005).
33. M. Ziabari, V. Mottaghitalab and A. K. Haghi, Korean J. Chem. Eng., 27, 340 (2010).
34. M. Trojanowicz, TrAC Trends Anal. Chem., 25, 480 (2006).
35. C. J. Thompson, G. G. Chase, A. L. Yarin and D. H. Reneker, Polymer, 48, 6913 (2007).
36. J. J. Feng, Phys. Fluid., 14, 3912 (2002).
37. M. E. Helgeson and N. J. Wagner, AIChE, 53, 51 (2007).
38. A. Doustgani, E. Vasheghani-Farahani, M. Soleimani and S. Hashemi-Najafabadi, Compos. Part B Eng., 43, 1830 (2012).
39. S. V. Fridrikh, J. H. Yu, M. P. Brenner and G. C. Rutledge, Phys. Rev. Lett., 90, 144502 (2003).
40. G. C. Rutledge and S. V. Fridrikh, Adv. Drug Deliver. Rev., 59, 1384 (2007).
41. A. Thess, R. Lee, P. Nikolaev, H. Dai, P. Petit et al., Science, 273, 483 (1996).
42. J. H. He, L. Xu, Y. Wu and Y. Liu, Polym. Int., 56, 1323 (2007).
43. H. K. Rasmussen and O. Hassager, J. Non-Newton. Fluid Mech., 46, 298 (1993).
44. M. Wang, J. He, J. Yu and N. Pan, Int. J. Therm. Sci., 46, 848 (2007).
45. Z. K. Tang, L. Zhang, N. Wang, X. X. Zhang, G. H. Wen et al., Science, 292, 2462 (2001).
46. J. W. Ha and S. M. Yang, J. Fluid Mech., 405, 131 (2000).
47. G. I. Taylor, Procs. R. Soc. Land. A. Math. Phys. Sci., 291, 159 (1966).
48. Y. Q. Wan, Q. Guo and N. Pan, Int. J. Nonlinear Sci. Num. Simul., 5, 5 (2004).
49. J. R. Melcher and G. I. Taylor, Annu. Rev. Fluid Mech., 1, 111 (1969).
50. A. L. Yarin, S. Koombhongse and D. H. Reneker, J. Appl. Phys., 89, 3018 (2001).
51. P. R. de Souza Mendes, J. Non-Newton. Fluid Mech., 147, 109(2007).
52. P. Pokorny, P. Mikes and D. Lukáš, Europhys. Lett., 92, 47002 (2010).
53. C. P. Firme and R. B. Prabhakar, Nanomed. Nanotechnol. Biol. Med., 6, 245 (2010).
54. K. G. Kornev, J. Appl. Phys., 110, 124910 (2011).
55. D. H. Reneker, A. L. Yarin, H. Fong and S. Koombhonge, J. Appl. Phys., 87, 4531 (2000).
56. J. H. He, Y. Q. Wan and L. Xu, Chaos Soliton. Fract., 33, 26 (2007).
57. D. A. Saville, Annu. Rev. Fluid Mech., 29, 27 (1997).
58. D. T. Parageorgiou and J. M. V. Broeck, IMA J. Appl. Math., 72, 832 (2007).
59. K. Sarkar, M. B. Ghalia, Z. Wu and S. C. Bose, J. Mater. Process. Technol., 209, 3156 (2009).
60. H. Touhara, A. Yonemoto, K. Yamamoto, S. Komiyama, S. Kawasaki et al., J. Fluorine Chem., 114, 181 (2002).
61. S. N. Reznik, A. L. Yarin, A. Theron and E. Zussman, J. Fluid Mech., 516, 349 (2004).
62. J. J. Feng, J. Non-Newton. Fluid Mech., 116, 55 (2003).
63. J. I. Ramos, Appl. Math. Model., 20, 593 (1996).
64. C. Wang, Z. X. Guo, S. Fu, W. Wu and D. Zhu, Prog. Polym. Sci., 29, 1079 (2004).
65. Y. M. Shin, M. M. Hohman, M. P. Brenner and G. C. Rutledge, Appl. Phys. Lett., 78, 3 (2001).
66. H. Ji-Huan, W. Yue and P. Ning, Int. J. Nonlinear Sci. Num. Simul., 6, 243 (2005).
67. J. H. He and H. M. Liu, Nonlinear Anal., 63, 919 (2005).
68. J. H. He, Y. Q. Wan and J. Y. Yu, Int. J. Nonlinear Sci. Num. Simul., 5, 243 (2004).
69. J. H. He and Y. Q. Wan, Polymer, 45, 6731 (2004).
70. J. H. He, Y. Q. Wan and J. Y. Yu, Polymer, 46, 2799 (2005).
71. A. L. Yarin and E. Zussman, Polymer, 45, 2977 (2004).
72. A. Varesano, R. A. Carletto and G. Mazzuchetti, J. Mater. Process. Technol., 209, 5178 (2009).
73. S. A. Theron, A. L. Yarin, E. Zussman and E. Kroll, Polymer, 46, 2889 (2005).
74. L. Xu, Y. Wu and Y. Nawaz, Comput. Math. Appl., 61, 2116 (2011).
75. S. Wan, G. Wei-Jie, L. Yong, Y. Bin and Y. GuiSheng, Adv. Sci. Lett., 10, 566 (2012).
76. L. Xu, F. Liu and N. Faraz, Comput. Math. Appl., 64, 1017 (2012).