Abstract
In the present paper, we study the terminal stage of the capillary thinning of a polymer solution jet formed with rod-like molecules. On long scales exceeding the rod length a uniform jet gets unstable according to the classical Plateau-Rayleigh pinching mechanism. We show, however, that a qualitatively different faster process, which can prevent the jet from breaking-up, generically comes into play once the jet radius becomes smaller than the rod length. Namely, the solvent drains out onto the jet surface forming annular droplets there, while the rods stay trapped inside the jet polymer core. As a result, the jet core becomes more concentrated and can solidify eventually. This process can provide a universal mechanism of the capillary-induced solvent/polymer phase separation leading to fiber formation (fiber spinning) from rod-like polymer solution jets.
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References
J. Eggers and E. Villermaux, Rep. Prog. Phys. 71, 036601 (2008).
G. H. McKinley, in Rheological Review (British Soc. Rheology, Aberystwyth, 2005), p. 1.
A. Ya. Malkin, A. Arinstein, and V. G. Kulichikhin, Prog. Polym. Sci. 39, 959 (2014).
J. Xue, T. Wu, Y. Dai, and Y. Xia, Chem. Rev. 119, 5298 (2019).
V. G. Kulichikhin, I. Yu. Skvortsov, A. V. Subbotin, S. V. Kotomin, and A. Ya. Malkin, Polymers 10, 856 (2018).
J. R. Castrejón-Pita, A. A. Castrejón-Pita, S. S. Thete, K. Sambath, I. M. Hutchings, J. Hinch, J. R. Lister, and O. A. Basaran, Proc. Natl. Acad. Sci. U. S. A. 112, 4582 (2015).
Y. Li and J. E. Sprittles, J. Fluid Mech. 797, 29 (2016).
A. V. Bazilevskii, S. I. Voronkov, V. M. Entov, and A. N. Rozhkov, Sov. Phys. Dokl. 26, 333 (1981).
C. Clasen, J. Eggers, M. A. Fontelos, J. Li, and G. H. McKinley, J. Fluid Mech. 556, 283 (2006).
R. Sattler, S. Gier, J. Eggers, and C. Wagner, Phys. Fluids 24, 023101 (2012).
A. V. Semakov, I. Yu. Skvortsov, V. G. Kulichikhin, and A. Ya. Malkin, JETP Lett. 101, 690 (2015).
A. Ya. Malkin, A. V. Semakov, I. Yu. Skvortsov, P. Zatonskikh, V. G. Kulichikhin, A. V. Subbotin, and A. N. Semenov, Macromolecules 50, 8231 (2017).
H.-C. Chang, E. A. Demekhin, and E. Kalaidin, Phys. Fluids 11, 1717 (1999).
P. P. Bhat, S. Appathurai, M. T. Harris, M. Pasquali, G. H. McKinley, and O. A. Basaran, Nat. Phys. 6, 625 (2010).
J. Eggers, Phys. Fluids 26, 033106 (2014).
M. Doi and A. Onuki, J. Phys. II France 2, 1631 (1992).
A. V. Subbotin and A. N. Semenov, J. Polym. Sci., Part B 54, 1066 (2016).
A. N. Semenov and A. V. Subbotin, J. Polym. Sci., Part B 55, 623 (2017).
S. P. Papkov and V. G. Kulichikhin, The Liquid-Crystalline State of Polymers (Khimiya, Moscow, 1977) [in Russian].
A. N. Semenov and A. R. Khokhlov, Phys. Usp. 31, 988 (1988).
M. Afshari, D. J. Sikkema, K. Lee, and M. Bogle, Polym. Rev. 48, 230 (2008).
M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford Univ. Press, New York, 1986).
I. Teraoka, N. Ookubo, and R. Hayakawa, Phys. Rev. Lett. 55, 2712 (1985).
E. A. Maresov and A. N. Semenov, Macromolecules 41, 9439 (2008).
L. M. Martyushev and V. D. Seleznev, Phys. Rep. 426, 1 (2006).
X. Fang and D. H. Reneker, J. Macromol. Sci., Part B 36, 169 (1997).
F. Gittes, B. Mickey, J. Nettleton, and J. Howard, J. Cell Biol. 120, 923 (1993).
F. Oosawa and S. Asakura, Thermodynamics of the Polymerization of Protein (Academic, San Diego, 1975).
J. van Mameren, K. C. Vermeulen, F. Gittes, and C. F. Schmidt, J. Phys. Chem. B 113, 3837 (2009).
E. Moulin, F. Niess, M. Maaloum, E. Buhler, I. Nyrkova, and N. Giuseppone, Angew. Chem. Int. Ed. 49, 6974 (2010).
I. Nyrkova, E. Moulin, J. J. Armao IV, M. Maaloum, B. Heinrich, M. Rawiso, F. Niess, J.-J. Cid, N. Jouault, E. Buhler, A. N. Semenov, and N. Giuseppone, ACS Nano 8, 10111 (2014).
Funding
A.V. Subbotin acknowledges the support of the Russian Science Foundation (project no. 17-79-30108). A.N. Semenov acknowledges the partial support of the International Research Training Group (IRTG) “Soft Matter Science: Concepts for the Design of Functional Materials.”
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Subbotin, A.V., Semenov, A.N. Capillary-Induced Phase Separation in Ultrathin Jets of Rigid-Chain Polymer Solutions. Jetp Lett. 111, 55–61 (2020). https://doi.org/10.1134/S0021364020010051
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DOI: https://doi.org/10.1134/S0021364020010051