THERMAL SCIENCE
International Scientific Journal
TEMPORAL INSTABILITY OF NON-NEWTONIAN LIQUID JETS DURING CENTRIFUGAL ELECTROSPINNING
ABSTRACT
This investigation is aimed at analysing linear instability of an initial stable jet through the air-sealed electro-centrifugal spinning process which is significant in creating nanofibers. Utilising the perturbation theory to diminish the governing equations, into a 1-D mode with the option of solving acquired non-linear differential equations. Hence, the trajectory of a power-law fluid jet during electro-centrifugal spinning power has been determined. Dispersion relation has been gotten from the linear theory to study the conduct of a power-law fluid curved jet with an electric field.
KEYWORDS
PAPER SUBMITTED: 2022-08-15
PAPER REVISED: 2022-10-20
PAPER ACCEPTED: 2022-10-30
PUBLISHED ONLINE: 2023-01-21
- Savart, F., a Mémoire sur la constitution des veines liquides lancees par des orifices circulaires en mince paroi, Ann. de Chim., 53 (1833), pp. 337-386
- Plateau, J., Statique Experimentale et theortique des liquides soumis aux seules forces moleculaires, Gauthier Villars, Paris, France, II, 319, 1873
- Rayleigh, W. S., On the Instability of Jets, Proc. Lond. Math. Soc., 10 (1878), 4
- Middleman, S., Stability of a Viscoelastic Jet, Chem. Eng. Sci., 20 (1965), 12, pp. 1037-1040
- Renardy, M., A Numerical Study of the Asymptotic Evolution and Breakup of Newtonian and Viscoelastic Jets, Journal Non-Newtonian Fluid Mech., 59 (1995), 2-3, pp. 267-282
- Goldin, M., et al., Breakup of a Viscoelastic Fluid, Journal Fluid Mech., 38 (1969), pp. 689-711
- Brenn, G., et al., Linear Analysis of the Temporal Instability of Axisymmetrical Non-Newtonian Liquid jets, International Journal of Multi-phase Flow, 26 (2000), 10, pp. 1621-1644
- Larson, R. G., Constitutive Equation for Polymer Melts and Solutions, in: Butterworths Series in Chemical Eng., Elsavier, Amsterdam, The Netherlands, 1988
- Schummer, P., Thelen, H. G., Break-up of a Viscoelastic Liquid Jets, Rheol. Acta, 27 (1988), Jan., pp. 39-43
- Larson, R. G., Instabilities in Viscoelastic Flows, Rheol. Acta, 31 (1992), May, pp. 213-263
- Fontelos, M. A., Break-up and no Break-up in a Family for the Evolution of Viscoelastic Jets, Z. Angew. Math. Phys., 54 (2003), Jan., pp. 84-111
- Davidson, M. R., et al., Simulation of Pendant Drop Formation of a Viscoelastic Liquid, Korea-Australia Rheology Journal, 18 (2006), 2, pp. 41-49
- Fontelos, M. A., Li, J., On the Evolution and Rupture of Filaments in Giesekus and FENE Models, Journal Non-Newtonian Fluid Mech., 118 (2004), 1, pp. 1-16
- Liu, Z., Liu, Z., Instability of a viscoelastic liquid jet with axisymmetric and asymmetric disturbance, International Journal of Multi-phase Flow, 34 (2008), 1, pp. 42-60
- Ardekani, A. M., et al., Dynamics of Bead Formation, Filament Thinning and Breakup in Weakly Viscoelastic Jets, Journal Fluid Mech., 665 (2010), Dec., pp. 46-56
- Cheong, B. S., Howes, T., Capillary Jet Instability under Influence of Gravity, Chemmical Engineering Science, 59 (2004), 11, pp. 2145-2157
- Morrison, N. F., Harlen, O. G., Viscoelasticity in inkjet printing, Rheol. Acta, 49 (2010), Jan., pp. 619-632
- Sauter, U., S., Buggisch, H., W., Stability of Initially Slow Viscous Jets Driven by Gravity, Journal Fluid Mech., 533 (2005), June, pp. 237-257
- Divvela, M. J., et al., Discretized Modelling for Centrifugal Spinning of Viscoelastic Liquids, Journal of Non-Newtonian Fluid Mechanics, 247 (2017), Sept., pp. 62-77
- Alsharif, A. M., Instability of non-Newtonian Liquid Jets in Centrifugal Spinning with Surfactants, Fluid Dynamics Research, 51 (2019), 3, 035510
- Taghavi, S. M., Larson, R. G., Regularized Fhin-Fiber Model for Nanofiber Formation by Centrifugal Spinning, Physical Review E, 89 (2014), 2, 023011
- Alsharif, A. M., et al., Instability of Viscoelastic Curved Jets, Appl. Math. Modell., 39 (2015), 14, pp. 3924-3938
- Riahi, D. N., Modelling and computation of non-linear rotating polymeric jets during force spinning process, International Journal of Non-linear Mechanics, 92 (2017), June, pp. 1-7
- Noroozi, S., et al., Regularized String Model for Nanofibre Formation in Centrifugal Spinning Methods, Journal, Fluid. Mech., 822 (2017), July, pp. 202-234
- Rogalski, J. J., et al., Rotary Jet Spinning Review a Potential High Yield Future for Polymer Nanofibers, Nanocomposites, 3 (2017), 4, pp. 97-121
- Hohman, M. M., et al., Electrospinning and Electrically Forced Jets, I. Stability Theory: Phys. Fluids, 13 (2001), 8, 2201
- Hohman, M. M, et al., Electrospinning and Electrically Forced Jets: II. Applications Phys. Fluids, 13 (2001), 8, 2221
- Alsharif, A. M., Parau, E. I., Temporal Instability of Curved Viscous Fibers with a Radial Electric Field, IMA Journal of Applied Mathematics, 87 (2022), 3, pp. 380-406
- Feng, J. J., Stretching of a Straight Electrically Charged Viscoelastic Jet, J. Non-Newtonian Fluid Mech., 116 (2003), 1, pp. 55-70
- Reneker, D. H., et al., Bending Instability of Electrically Charged Liquid Jets of Polymer Solutions in Electrospinning, Journal Appl. Phys., 87 (2000), 9, pp. 4531-4547
- Yarin, A. L., et al., 2001, Bending Instability in Electrospinning of Nanofibers, Journal Appl. Phys., 89 (2001), 5, pp. 3018-3026
- Carroll, C. P., Joo, Y. L., Axisymmetric Instabilities of Electrically Driven Viscoelastic Jets, Journal Non-Newtonian Fluid Mech., 153 (2006,), 2-3, pp. 130-148
- Chang, W. M., et al., The Combination of Electrospin-Ning and Forcespinning: Effects on a Viscoelastic Jet and a Single Nanofiber, Chemical Engineering Journal, 244 (2014), May, pp. 540-551
- Liao, C. C., et al., Stretching-Induced Crystallinity and Orientation of Polylactic Acid Nanofibers with Improved Mechanical Properties Using an Electrically Charged Rotating Viscoelastic Jet, Polymer, 52 (2011), 19, pp. 4303-4318
- Riahi, D. A., On Non-Linear Rotating Electrified Non-Newtonian Jets, International Journal of Non-Linear Mechanics, 109 (2019), Mar., pp. 166-171
- Wallwork, I. M., The Trajectory and Stability of a Spiralling Liquid Jet, Ph. D. thesis, University of Birmingham, Birmingham, UK, 2022
- Decent, S. P., et al., Free Jets Spun from a Prilling Tower, Journal of Engineering Mathematics, 42 (2002), Apr., pp. 265-282
- Melcher, J. R., Taylor, G. I., Electrohydrodynamics: A Review of the Role of Interfacial Shear Stresses, Annual Review of Fluid Mechanics, 1 (1969), Jan., pp. 111-146
- Saville, D. A., Electrohydrodynamics: The Taylor-Melcher Leaky Dielectric Model, Annual Review of Fluid Mechanics, 29 (1997), Jan., pp. 27-64
- Eggers, J., Non-Linear Dynamics and Breakup of Free Surface Flows, Rev. Mod. Physis, 69 (1997), 3, pp. 865-929
- Decent, S. P., et al., The Trajectory and Stability of a Spiralling Liquid Jet - Part II: Viscous Theory, Appl. Math. Modelling, 33 (2007), 12, pp. 4283-4302
- Uddin, J., et al., The Instability of Shear Thinning and Shear Thickening Spiralling Liquid Jets: Linear Theory, ASME J. of Fluids Eng., 128 (2006), 5, pp. 968-975
- Parau, E. I., et al., Non-Linear Viscous Liquid Jets from a Rotating Orifice, Journal of Eng. Maths., 57 (2007), Dec., pp. 159-179
- Hashemi, A. R., et al., Numerical and Experimental Study on the Steady Cone-Jet Mode of Electro-Centrifugal Spinning, Phys. Fluids, 30 (2018), 017103
- Stone, H. A., et al., Drops with Conical ends in Electric and Magnetic Fields, Proc. R. Soc. Lond. A, 455 (1999), 1991, pp. 329-347
- Uddin, J., An Investigation into Methods to Control Breakup and Droplet Formation in Single and Compound Liquid Jets, Ph. D. thesis, University of Birmingham, Birmingham, UK, 2007