Rotating Fiber Jets during Forcespinning with Aerodynamic Effect
Publication: Journal of Engineering Mechanics
Volume 144, Issue 8
Abstract
Nanofibers are known to have incredible properties and applications in diverse field such as defense, energy, aerospace, filtration, and biotechnology, to name a few. Forcespinning (FS) is a new experimental process that can produce nanoscale fibers under the action of rotating forces. In the usual FS process, a mesoscale fluid jet is forced through an orifice of a rotating spinneret, where the ambient fluid is air. This leads to the formation of a jet with a curved centerline. In this study we apply multiscale and perturbation techniques to investigate rotating fiber jets and their stabilities in the presence of aerodynamic drag force due to the ambient air that is known to exist experimentally in the FS process. First, we calculate numerically the expressions for the leading-order steady solutions for jet quantities such as radius, speed, and trajectory versus arc length, and we determine, in particular, the results for such quantities and their variations in the presence of aerodynamic effect. Next, we calculate the stability of the fiber jet versus temporally growing, spatially growing, or spatiotemporally growing perturbations and determine the results for the growth rates of the effective perturbations versus jet flow parameters.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The author would like to thank the reviewers of the earlier versions of this paper for their valuable comments and suggestions that led to notable improvements to the present paper.
References
Altecor, A., Y. Mao, and K. Lozano. 2012. “Large-scale synthesis of tin-doped indium oxide nanofibers using water as solvent.” Funct. Mater. Lett. 5 (3): 1250020. https://doi.org/10.1142/S1793604712500208.
Ascher, U. M., R. M. M. Mathheij, and R. D. Russell. 1995. Numerical solution of boundary value problems for ordinary differential equations. Philadelphia, PA: SIAM Publication.
Carrasquero, N. J., and D. N. Riahi. 2010. “On instability of electrically forced jets and applications to electrospinning.” Int. J. Appl. Math. Stat. 16 (M10): 1–10.
Chahhahra, R. P., and J. F. Richardson. 2008. Non-newtonian flow and applied rheology. 2nd ed. Oxford, UK: Butterworth-Heinemann.
Decent, S. P., A. C. King, M. J. H. Simmons, E. I. Parau, I. M. Wallwork, C. J. Gurney, and J. Uddin. 2009. “The trajectory and stability of spiraling liquid jet: Viscous theory.” Appl. Math. Modell. 33 (12): 4283–4302. https://doi.org/10.1016/j.apm.2009.03.011.
Decent, S. P., A. C. King, and I. M. Wallwork. 2002. “Free jets spun from a Prilling tower.” J. Eng. Math. 42 (3–4): 265–282. https://doi.org/10.1023/A:1016127207992.
Drazin, P. G., and W. H. Reid. 1981. Hydrodynamic stability. Cambridge, UK: Cambridge University Press.
Orizaga, S., and D. N. Riahi. 2012. “On combined spatial and temporal instabilities of electrically driven jets with constant or variable applied field.” J. Theor. Appl. Mech. 50 (1): 301–319.
Padron, S., I. D. Caruntu, and K. Lozano. 2011. “On 2d forcespinning modeling.” In Proc., 2011 ASME Int. Mechanical Engineering Congress and Exposition, IMECE2011-64823, 821–830. New York, NY: American Society of Mechanical Engineers.
Padron, S., A. Fuentes, and K. Lozano. 2013. “Experimental study of nanofiber production through forcespinning.” J. Appl. Phys. 113 (2): 024318. https://doi.org/10.1063/1.4769886.
Padron, S., R. Patlan, J. Gutierrez, N. Santos, T. Eubanks, and K. Lozano. 2012. “Production and characterization of hybrid BEH-PPV/PEO conjugated polymer nanofibers by forcespinning.” J. Appl. Polym. Sci. 125 (5): 3610–3616. https://doi.org/10.1002/app.v125.5.
Panda, S., N. Marheineke, and R. Wegener. 2008. “Systematic derivation of an asymptotic model for the dynamics of curved viscous fibers.” Math. Method Appl. Sci. 31 (10): 1153–1173. https://doi.org/10.1002/(ISSN)1099-1476.
Riahi, D. N. 2011. “On spatial instability of an electrically forced non-axisymmetric jet with curved centerline.” Appl. Math. Modell. 35 (3): 1124–1133. https://doi.org/10.1016/j.apm.2010.08.001.
Sarkar, K., C. Gomez, S. Zambrano, M. Ramirez, E. de Hoyos, H. Vasquez, and K. Lozano. 2010. “Electrospinning to forcespinning.” Mater. Today 13 (11): 12–14. https://doi.org/10.1016/S1369-7021(10)70199-1.
Taghavi, S. M., and R. G. Larson. 2014a. “Erratum: Regularized thin-fiber model for nanofiber formation by centrifugal spinning.” Phys. Rev. E 89 (5): 059903. https://doi.org/10.1103/PhysRevE.89.059903.
Taghavi, S. M., and R. G. Larson. 2014b. “Regularized thin-fiber model for nanofiber formation by centrifugal spinning.” Phys. Rev. E 89 (2): 023011. https://doi.org/10.1103/PhysRevE.89.023011.
Vasquez, B., H. Vasquez, and K. Lozano. 2012. “Preparation and characterization of polyvinylidene fluoride nanofibrous membranes by forcespinning.” Polym. Eng. Sci. 52 (10): 2260–2265. https://doi.org/10.1002/pen.v52.10.
Wallwork, I. M., S. P. Decent, A. C. King, and R. M. S. M. Schulkes. 2002. “The trajectory and stability of a spiraling liquid jet. Part I: Inviscid theory.” J. Fluid Mech. 459 (Jun): 43–65. https://doi.org/10.1017/S0022112002008108.
White, F. M. 1991. Viscous fluid flow. 2nd ed. New York, NY: McGraw-Hill.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 144 • Issue 8 • August 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jan 3, 2018
Accepted: Jan 3, 2018
Published online: Jun 5, 2018
Published in print: Aug 1, 2018
Discussion open until: Nov 5, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.