Abstract
Electrospinning is a useful and efficient technique to produce polymeric nanofibers. Nanofibers of polymers are electrospun by creating an electrically charged jet of polymer solution. Numerical study on non-Newtonian and viscoelastic jets of polymer nanofibers in electrospinning process is presented in this work. In particular, the effect of non-Newtonian rheology on the jet profile during the electrospinning process is examined. The governing equations of the problem are solved numerically using the Keller-Box method. The effects of yield stress and power-law index on the elongation, velocity, stress and total force are presented and discussed in detail. The results show that by increasing the values of yield stress, the fluid elongation is reduced significantly.
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ANDRADY A L. Science and technology of polymer nanofibers [M]. John Wiley & Sons, 2008.
MANNARINO M M, RUTLEDGE G C. Mechanical and tribological properties of electrospun PA 6 (3) T fiber mats [J]. Polymer, 2012, 53: 3017-3025.
HUANG Z M, ZHANG Y Z, KOTAKI M, RAMAKRISHNA S. A review on polymer nanofibers by electrospinning and their applications in nanocomposites [J]. Composites Science and Technology, 2003, 63: 2223-2253.
TAYLOR G. Electrically driven jets [C]// Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 1969: 453-475.
DOSHI J, RENEKER D H. Electrospinning process and applications of electrospun fibers [C]// Industry Applications Society Annual Meeting. IEEE, 1993: 1698-1703.
DROR Y, SALALHA W, KHALFIN R L, COHEN Y, YARIN A L, ZUSSMAN E. Carbon nanotubes embedded in oriented polymer nanofibers by electrospinning [J]. Langmuir, 2003, 19: 7012-7020.
CAMPOSEO A, GREENFELD I, TANTUSSI F, PAGLIARA S, MOFFA M, FUSO F, ALLEGRINI M, ZUSSMAN E, PISIGNANO D. Local mechanical properties of electrospun fibers correlate to their internal nanostructure [J]. Nano letters, 2013, 13: 5056-5062.
CARROLL C P, JOO Y L. Electrospinning of viscoelastic Boger fluids: Modeling and experiments [J]. Physics of Fluids, 2006, 18: 053102.
THERON S, YARIN A L, ZUSSMAN E, KROLL E. Multiple jets in electrospinning: Experiment and modeling [J]. Polymer, 2005, 46: 2889-2899.
CARROLL C P, ZHMAYEV E, KALRA V, JOO Y L. Nanofibers from electrically driven viscoelastic jets: Modeling and experiments [J]. Korea-Aust Rheol J, 2008, 20: 153-164.
AKHAVAN BEHABADI M A, SADOUGHI M K, DARZI M, FAKOOR PAKDAMAN M. Experimental study on heat transfer characteristics of R600a/POE/CuO nano-refrigerant flow condensation [J]. Experimental Thermal and Fluid Science, 2015, 66: 46-52.
DARZI M, AKHAVAN BEHABADI M A, SADOUGHI M K, RAZI P. Experimental study of horizontal flattened tubes performance on condensation of R600a vapor [J]. International Communications in Heat and Mass Transfer, 2015, 62: 18-25.
ZOLFAGHARIAN A, KOUZANI A Z, KHOO S Y, AMIRI MOGHADAM A A, GIBSON I, KAYNAK A. Evolution of 3D printed soft actuators [J]. Sensors and Actuators A: Physical, 2016, 250: 258-272.
FENG J. The stretching of an electrified non-Newtonian jet: A model for electrospinning [J]. Physics of Fluids, 2002, 14: 3912-3926.
FENG J. Stretching of a straight electrically charged viscoelastic jet [J]. Journal of Non-Newtonian Fluid Mechanics, 2003, 116: 55-70.
YARIN A L, KOOMBHONGSE S, RENEKER D H. Bending instability in electrospinning of nanofibers [J]. Journal of Applied Physics, 2001, 89: 3018-3026.
ZOLFAGHARIAN A, VALIPOUR P, GHASEMI S E. Fuzzy force learning controller of flexible wiper system [J]. Neural Computing and Application, 2016, 27: 483-493.
ZOLFAGHARIAN A, NOSHADI A, GHASEMI S E, MD M Z. A nonparametric approach using artificial intelligence in vibration and noise reduction of flexible systems [J]. Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, 2014, 228(8): 1329-1347.
NOSHADI A, MAILAH M, ZOLFAGHARIAN A. Intelligent active force control of a 3-RRR parallel manipulator incorporating fuzzy resolved acceleration control [J]. Applied Mathematical Modelling, 2012, 36(6): 2370-2383.
ZOLFAGHARIAN A, NOSHADI A, KHOSRAVANI M R M D ZAIN M Z. Unwanted noise and vibration control using finite element analysis and artificial intelligence in flexible wiper system [J]. Applied Mathematical Modelling, 2014, 38: 2435-2453.
ZOLFAGHARIAN A, GHASEMI S E, IMANI M. A multi-objective, active fuzzy force controller in control of flexible wiper system [J]. Latin Am J Solids Struct, 2014, 11(9): 1490-514.
AHMADI ASOOR A A, VALIPOUR P, GHASEMI S E. Investigation on vibration of single walled carbon nanotubes by variational iteration method [J]. Appl Nanosci, 2016, 6: 243-249.
GHASEMI S E, JALILI P S, HATAMI M, GANJI D D. Efficient analytical approaches for motion of a spherical solid particle in plane couette fluid flow using nonlinear methods [J]. The Journal of Mathematics and Computer Science 2012, 5(2): 97-104.
GHASEMI S E, HATAMI M, GANJI D D. Analytical thermal analysis of air-heating solar collectors [J]. Journal of Mechanical Science and Technology, 2013, 27(11): 3525-3530.
MOHAMMADIAN E, GHASEMI S E, POORGASHTI H, HOSSEINI M, GANJ D D. Thermal investigation of Cu–water nanofluid between two vertical planes [J]. Proc IMechE Part E: J Process Mechanical Engineering 2015, 229(1): 36-43.
GHASEMI S E, HATAMI M, GANJI D D. Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation [J]. Case Studies in Thermal Engineering, 2014, 4: 1-8.
GHASEMI S E, VALIPOUR P, HATAMI M, GANJI D D. Heat transfer study on solid and porous convective fins with temperaturedependent heat generation using efficient analytical method [J]. Journal of Central South University, 2014, 21: 4592-4598.
AHMADI ASOOR A A, VALIPOUR P, GHASEMI S E, GANJI D D. Mathematical modelling of carbon nanotube with fluid flow using keller box method: A vibrational study [J]. Int J Appl Comput Math, DOI 10.1007/s40819-016-0206-3.
VALIPOUR P, GHASEMI S E. Numerical investigation of MHD water-based nanofluids flow in porous medium caused by shrinking permeable sheet [J]. J Braz Soc Mech Sci Eng, 2016, 38: 859-868.
GHASEMI S E, HATAMI M, JING D, GANJI D D. Nanoparticles effects on MHD fluid flow over a stretching sheet with solar radiation: A numerical study [J]. Journal of Molecular Liquids 2016, 219: 890-896.
GHASEMI S E, ZOLFAGHARIAN A, GANJI D D. Study on motion of rigid rod on a circular surface using MHPM [J]. Propulsion and Power Research, 2014, 3(3): 159-164.
GHASEMI S E, HATAMI M, HATAMI J, SAHEBI S A R, GANJI D D. An efficient approach to study the pulsatile blood flow in femoral and coronary arteries by Differential Quadrature Method [J]. Physica A, 2016, 443: 406-414.
GHASEMI S E, HATAMI M, ARMIA SALARIAN, DOMAIRRY G. Thermal and fluid analysis on effects of a nanofluid outside of a stretching cylinder with magnetic field the using differential quadrature method [J]. Journal of Theoretical and Applied Mechanics 2016, 54(2): 517-528.
GHASEMI S E, HATAMI M, MEHDIZADEH AHANGAR G H R, GANJI D D. Electrohydrodynamic flow analysis in a circular cylindrical conduit using Least Square Method [J]. Journal of Electrostatics, 2014, 72: 47-52.
GHASEMI S E, VATANI M, GANJI D D. Efficient approaches of determining the motion of a spherical particlein a swirling fluid flow using weighted residual methods [J]. Particuology, 2015, 23: 68-74.
DARZI M, VATANI M, GHASEMI S E, GANJI D D. Effect of thermal radiation on velocity and temperature fields of a thin liquid film over a stretching sheet in a porous medium [J]. Eur Phys J Plus, 2015, 130: 100.
GHASEMI S E, VATANI M, HATAMI M, GANJI D D. Analytical and numerical investigation of nanoparticle effect on peristaltic fluid flow in drug delivery systems [J]. Journal of Molecular Liquids, 2016, 215: 88-97.
ATOUEI S A, HOSSEINZADEH K H, HATAMI M, GHASEMI S E, SAHEBI S A R, GANJI D D. Heat transfer study on convectiveradiative semi-spherical fins with temperature-dependent properties and heat generation using efficient computational methods [J]. Applied Thermal Engineering, 2015, 89: 299-305.
GHASEMI S E, HATAMI M, KALANI S A, GANJI D D. Study on blood flow containing nanoparticles through porous arteries in presence of magnetic field using analytical methods [J]. Physica E, 2015, 70: 146-156.
VALIPOUR P, GHASEMI S E, KHOSRAVANI M R, GANJI D D. Theoretical analysis on nonlinear vibration of fluid flow in single-walled carbon nanotube [J]. J Theor Appl Phys, 2016, 10: 211-218.
VATANI M, GHASEMI S E, GANJI D D. Investigation of micropolar fluid flow between a porous disk and a nonporous disk using efficient computational technique [J]. Proc IMechE Part E: J Process Mechanical Engineering, 2016, 230(6): 413-424.
VALIPOUR P, GHASEMI S E, VATANI M. Theoretical investigation of micropolar fluid flow between two porous disks [J]. Journal of Central South University, 2015, 22: 2825-2832.
TALARPOSHTI R A, GHASEMI S E, RAHMANI Y, GANJI D D. Application of exp-function method to wave solutions of the sinegordon and ostrovsky equations [J]. Acta Mathematicae Applicatae Sinica, English Series, 2016, 32(3): 571-578.
RENEKER D H, YARIN A L, FONG H, KOOMBHONGSE S. Bending instability of electrically charged liquid jets of polymer solutions in electrospinning [J]. Journal of Applied Physics, 2000, 87: 4531-4547.
HUANG X, GARCIA M H. A Herschel-Bulkley model for mud flow down a slope [J]. Journal of Fluid Mechanics, 1998, 374: 305-333.
PONTRELLI G, ULBERTINI S, SUCCI S. The unstructured lattice Boltzmann method for non-Newtonian flows [J]. Journal of Statistical Mechanics: Theory and Experiment, 2009, P06005.
KELLER H B. A new difference scheme for parabolic problems, Num. Solns. of Partial Differential Equations, II [M]. Hubbard B ed. New York: Academic Press, 1971: 327-350.
BRADSHAW P, CEBECI T, WHITELAW J H. Engineering calculation methods for turbulent flow [M]. Academic Press, 1981.
PONTRELLI G, GENTILI D, COLUZZA I, PISIGNANO D, SUCCI S. Effects of non-linear rheology on electrospinning process: A model study [J]. Mechanics Research Communications, 2014, 61: 41-46.
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Valipour, P., Zaersabet, H., Hatami, M. et al. Numerical study on polymer nanofibers with electrically charged jet of viscoelastic fluid in electrospinning process. J. Cent. South Univ. 24, 2275–2280 (2017). https://doi.org/10.1007/s11771-017-3638-y
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DOI: https://doi.org/10.1007/s11771-017-3638-y