Home / Articles / Stability of polymer jets in extension: physicochemical and rheological mechanisms

Stability of polymer jets in extension: physicochemical and rheological mechanisms

Aleksandr Yakovlevich Malkin 1
Aleksandr Yakovlevich Malkin
, 
Andrey Valentinovich Subbotin 1
Andrey Valentinovich Subbotin
, 
Valerii Grigor'evich Kulichikhin 1
Valerii Grigor'evich Kulichikhin
1 A. V. Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, Moscow
10.1070/RCR4941
Published 30 November 2019
Review , RCR4941, Volume 89, Issue 8, 811-823
12
Share
Cite this
GOST
 | 
Cite this
GOST
Copy cite
Malkin A. Y., Subbotin A. V., Kulichikhin V. G. Stability of polymer jets in extension: physicochemical and rheological mechanisms // Russian Chemical Reviews. 2019. Vol. 89. No. 8. pp. 811-823.
GOST all authors (up to 50)
Copy cite
Malkin A. Y., Subbotin A. V., Kulichikhin V. G. Stability of polymer jets in extension: physicochemical and rheological mechanisms // Russian Chemical Reviews. 2019. Vol. 89. No. 8. pp. 811-823.
RIS
 | 
Cite this
RIS
Copy cite
TY - JOUR
DO - 10.1070/RCR4941
UR - https://rcr.colab.ws/publications/10.1070/RCR4941
TI - Stability of polymer jets in extension: physicochemical and rheological mechanisms
T2 - Russian Chemical Reviews
AU - Malkin, Aleksandr Yakovlevich
AU - Subbotin, Andrey Valentinovich
AU - Kulichikhin, Valerii Grigor'evich
PY - 2019
DA - 2019/11/30
PB - ANO Editorial Board of the journal Uspekhi Khimii
SP - 811-823
IS - 8
VL - 89
ER -
BibTex
 | 
Cite this
BibTex (up to 50 authors)
Copy cite
@article{2019_Malkin,
author = {Aleksandr Yakovlevich Malkin and Andrey Valentinovich Subbotin and Valerii Grigor'evich Kulichikhin},
title = {Stability of polymer jets in extension: physicochemical and rheological mechanisms},
journal = {Russian Chemical Reviews},
year = {2019},
volume = {89},
publisher = {ANO Editorial Board of the journal Uspekhi Khimii},
month = {Nov},
url = {https://rcr.colab.ws/publications/10.1070/RCR4941},
number = {8},
pages = {811--823},
doi = {10.1070/RCR4941}
}
MLA
Cite this
MLA
Copy cite
Malkin, Aleksandr Yakovlevich, et al. “Stability of polymer jets in extension: physicochemical and rheological mechanisms.” Russian Chemical Reviews, vol. 89, no. 8, Nov. 2019, pp. 811-823. https://rcr.colab.ws/publications/10.1070/RCR4941.
Views / Visits / Downloads
46 / 45 / 11

Keywords

elasticity
extension
fiber spinning
instability
phase transitions
polymers
rheology,
solutions
surface tension

Abstract

The review is devoted to the fundamental problems of physical chemistry and rheology posed in the analysis of stability loss of polymer jets in extension. Studies of phenomena occurring in deformation of polymeric fluids are of considerable applied interest because extension of polymeric fluids underlies many industrial processes, first of all, fibre spinning. Studies of critical conditions of deformation are based on general principles of fluid mechanics, which are applicable to all fluids and various phenomena in nature and technology. First we discuss solutions to classical problems of instability of liquid jets as the basis for further analysis of the behaviour of polymeric fluids in particular situations. Next, specific features of the deformation mechanisms and appearance of instabilities of polymeric fluid jets are considered as consequences of their physicochemical and rheological properties.

The bibliography includes 162 references.

Funders

Russian Foundation for Basic Research
19-18-50078

References

1.
A Review of the Fundamental Principles and Applications of Solution Blow Spinning
Daristotle J.L., Behrens A.M., Sandler A.D., Kofinas P.
ACS applied materials & interfaces , 2016
3.
rcr_89_8_811bib3
Larson
2013
4.
A Novel Technique for Fiber Formation: Mechanotropic Spinning—Principle and Realization
Kulichikhin V., Skvortsov I., Subbotin A., Kotomin S., Malkin A.
Polymers , 2018
5.
rcr_89_8_811bib5
Plateau
1873
6.
VI. On the capillary phenomena of jets
Proceedings of the Royal Society of London , 1879
7.
XVI. On the instability of a cylinder of viscous liquid under capillary force
Rayleigh L.
The London Edinburgh and Dublin Philosophical Magazine and Journal of Science , 1892
8.
XII. Determination of the surface-tension of water by the method of jet vibration
Philosophical Transactions of the Royal Society of London Series A Containing Papers of a Mathematical or Physical Character , 2006
9.
rcr_89_8_811bib9
Chandrasekhar
1981
10.
Experiments on the capillary instability of a liquid jet
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 1966
11.
The formation of emulsions in definable fields of flow
Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character , 2006
12.
On the Instability of a Cylindrical Thread of a Viscous Liquid Surrounded by Another Viscous Fluid
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 2006
13.
Breaking up of a drop of viscous liquid immersed in another viscous fluid which is extending at a uniform rate
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 2006
15.
Physics of liquid jets
Eggers J., Villermaux E.
Reports on Progress in Physics , 2008
16.
rcr_89_8_811bib16
Chen
Phys. Rev. Lett. , 2002
17.
Plethora of transitions during breakup of liquid filaments
Castrejón-Pita J.R., Castrejón-Pita A.A., Thete S.S., Sambath K., Hutchings I.M., Hinch J., Lister J.R., Basaran O.A.
Proceedings of the National Academy of Sciences of the United States of America , 2015
18.
Breakup of Liquid Filaments
Castrejón-Pita A.A., Castrejón-Pita J.R., Hutchings I.M.
Physical Review Letters , 2012
19.
Surface Tension Driven Flows
Keller J.B., Miksis M.J.
SIAM Journal on Applied Mathematics , 2005
20.
Breakdown of scaling in droplet fission at high Reynolds number
Brenner M.P., Eggers J., Joseph K., Nagel S.R., Shi X.D.
Physics of Fluids , 1997
21.
ON THE BREAKUP OF VISCOUS LIQUID THREADS
Papageorgiou D.T.
Physics of Fluids , 1995
22.
Analytical description of the breakup of liquid jets
Papageorgiou D.T.
Journal of Fluid Mechanics , 1995
24.
Capillary breakup of a liquid bridge: identifying regimes and transitions
Li Y., Sprittles J.E.
Journal of Fluid Mechanics , 2016
26.
The chaotic behavior of the leaky faucet
Martien P., Pope S.C., Scott P.L., Shaw R.S.
Physics Letters, Section A: General, Atomic and Solid State Physics , 1985
27.
Transition from dripping to jetting
CLANET C., LASHERAS J.C.
Journal of Fluid Mechanics , 1999
28.
rcr_89_8_811bib28
Clarke
Mathematika , 1966
29.
The shape function of a free-falling laminar jet: Making use of Bernoulli's equation
Massalha T., Digilov R.M.
American Journal of Physics , 2013
30.
Shape and stability of a viscous thread
Senchenko S., Bohr T.
Physical Review E , 2005
31.
Stability of initially slow viscous jets driven by gravity
SAUTER U.S., BUGGISCH H.W.
Journal of Fluid Mechanics , 2005
32.
rcr_89_8_811bib32
Javadi
Phys. Rev. Lett. , 2013
33.
The falling laminar jet of semi-dilute polymer solutions
Lee J.K., Seo G.T.
Korean Journal of Chemical Engineering , 1995
34.
The characteristic curves of liquid jets
Tyler E., Richardson E.G.
Proceedings of the Physical Society of London , 1924
35.
XCIII.Experiments with capillary jets
Tyler E., Watkin F.
The London Edinburgh and Dublin Philosophical Magazine and Journal of Science , 1932
36.
Steady laminar round jets of a viscous liquid falling vertically in the atmosphere
Adachi K., Tagashira K., Banba Y., Tatsumi H., Machida H., Yoshioka N.
AICHE Journal , 1990
37.
Newtonian jet stability
Grant R.P., Middleman S.
AICHE Journal , 1966
39.
rcr_89_8_811bib39
Levich
1962
40.
DROP AND SPRAY FORMATION FROM A LIQUID JET
Lin S.P., Reitz R.D.
Annual Review of Fluid Mechanics , 1998
41.
Zum Zerfall eines Flüssigkeitsstrahles
Weber C.
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik , 1931
43.
rcr_89_8_811bib43
Taylor
1969
44.
The buckling of thin viscous jets
Buckmaster J.
Journal of Fluid Mechanics , 1973
45.
The dynamics of thin liquid jets in air
Entov V.M., Yarin A.L.
Journal of Fluid Mechanics , 1984
46.
Buckling of thin liquid jets
Tchavdarov B., Yarin A.L., Radev S.
Journal of Fluid Mechanics , 1993
47.
Coiling of viscous jets
Ribe N.M.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 2004
49.
Some conditions for rupture of polymer liquids in extension
Malkin A.Y., Petrie C.J.
Journal of Rheology , 1997
51.
Effect of Finite Extensibility on Nonlinear Extensional Rheology of Polymer Melts
Morelly S.L., Palmese L., Watanabe H., Alvarez N.J.
Macromolecules , 2019
53.
Entanglement junctions in melts and concentrated solutions of flexible-chain polymers: Macromodeling
Malkin A.Y., Semakov A.V., Kulichikhin V.G.
Polymer Science - Series A , 2011
54.
rcr_89_8_811bib54
Malkin
Polym. Sci. , 1985
59.
rcr_89_8_811bib59
Andrianova
Polym. Sci., Ser. A , 1970
60.
rcr_89_8_811bib60
Christensen
SPE J. , 1962
62.
rcr_89_8_811bib62
Kulichikhin
Mol. Cryst. Liq. Cryst. , 1989
66.
Die-swell effect in draw resonance of polymeric spin-line
Gupta K., Chokshi P., Stepanyan R.
Journal of Non-Newtonian Fluid Mechanics , 2016
67.
Draw Resonance Revisited
Renardy M.
SIAM Journal on Applied Mathematics , 2006
68.
Effect of inertia and gravity on the draw resonance in high-speed film casting of Newtonian fluids
Cao F., Khayat R.E., Puskas J.E.
International Journal of Solids and Structures , 2005
69.
Practical mapping of the draw resonance instability in film casting of Newtonian fluids
Bechert M., Schubert D.W., Scheid B.
European Journal of Mechanics, B/Fluids , 2015
70.
Experimental study of the draw resonance in fiber spinning
Demay Y., Agassant J.
Journal of Non-Newtonian Fluid Mechanics , 1985
71.
Mechanism of draw resonance in chemical fibre spinning
Serkov A.T., Radishevskii M.B., Afanas'eva Y.V.
Fibre chemistry , 2000
75.
A new look at extensional rheology of low-density polyethylene
Huang Q., Mangnus M., Alvarez N.J., Koopmans R., Hassager O.
Rheologica Acta , 2016
77.
Long-chain branched polymers to prolong homogeneous stretching and to resist melt breakup
Liu G., Ma H., Lee H., Xu H., Cheng S., Sun H., Chang T., Quirk R.P., Wang S.
Polymer , 2013
78.
Polymer extension flows and instabilities
Malkin A.Y., Arinstein A., Kulichikhin V.G.
Progress in Polymer Science , 2014
79.
Rupture of entangled polymeric liquids in elongational flow
Joshi Y.M., Denn M.M.
Journal of Rheology , 2003
80.
Viscosity overshoot in the start-up of uniaxial elongation of low density polyethylene melts
Rasmussen H.K., Nielsen J.K., Bach A., Hassager O.
Journal of Rheology , 2005
81.
Elongational viscosity of monodisperse and bidisperse polystyrene melts
Nielsen J.K., Rasmussen H.K., Hassager O., McKinley G.H.
Journal of Rheology , 2006
82.
rcr_89_8_811bib82
Wang
Phys. Rev. Lett. , 2007
85.
Failure behavior after stepwise uniaxial extension of entangled polymer melts
Sun H., Lin P., Liu G., Ntetsikas K., Misichronis K., Kang N., Liu J., Avgeropoulos A., Mays J., Wang S.
Journal of Rheology , 2015
86.
Finite cohesion due to chain entanglement in polymer melts
Cheng S., Lu Y., Liu G., Wang S.
Soft Matter , 2016
88.
Polymer liquids fracture like solids
Huang Q., Hassager O.
Soft Matter , 2017
89.
Exploring rheological responses to uniaxial stretching of various entangled polyisoprene melts
Feng Y., Liu J., Wang S., Ntetsikas K., Avgeropoulos A., Kostas M., Mays J.
Journal of Rheology , 2019
90.
On the origin of brittle fracture of entangled polymer solutions and melts
Wagner M.H., Narimissa E., Huang Q.
Journal of Rheology , 2018
91.
Extensional flow dynamics of polystyrene melt
Huang Q., Rasmussen H.K.
Journal of Rheology , 2019
93.
Linear shear and nonlinear extensional rheology of unentangled supramolecular side-chain polymers
Cui G., Boudara V.A., Huang Q., Baeza G.P., Wilson A.J., Hassager O., Read D.J., Mattsson J.
Journal of Rheology , 2018
95.
Flow induced crystallization prevents melt fracture of HDPE in uniaxial extensional flow
Wingstrand S.L., Hassager O., Parisi D., Borger A.L., Mortensen K.
Journal of Rheology , 2018
96.
rcr_89_8_811bib96
Kulichikhin
Adv. Polym. Technol. , 2016
97.
rcr_89_8_811bib97
Kulichikhin
Adv. Polym. Technol. , 2016
98.
rcr_89_8_811bib98
Skvortsov
J. Appl. Polym. Sci. , 2019
99.
New Approach to Preparation of Heat-Resistant “Lola-M” Fiber
Ponomarev I.I., Skvortsov I.Y., Volkova Y.A., Ponomarev I.I., Varfolomeeva L.A., Razorenov D.Y., Skupov K.M., Kuzin M.S., Serenko O.A.
Materials , 2019
100.
Breakup of a laminar capillary jet of a viscoelastic fluid
Goldin M., Yerushalmi J., Pfeffer R., Shinnar R.
Journal of Fluid Mechanics , 1969
101.
rcr_89_8_811bib101
Bazilevskii
Sov. Phys. Dokl. , 1981
102.
rcr_89_8_811bib102
Bazilevskii
Polym. Sci., Ser. A , 1997
103.
rcr_89_8_811bib103
Bazilevskii
Polym. Sci., Ser. B , 2001
104.
Dynamics of capillary breakup of elastic jets
Bazilevskii A.V., Rozhkov A.N.
Fluid Dynamics , 2014
105.
The beads-on-string structure of viscoelastic threads
CLASEN C., EGGERS J., FONTELOS M.A., LI J., McKINLEY G.H.
Journal of Fluid Mechanics , 2006
106.
Inhibition of the Finite-Time Singularity during Droplet Fission of a Polymeric Fluid
Amarouchene Y., Bonn D., Meunier J., Kellay H.
Physical Review Letters , 2001
107.
Elasto-capillary thinning and breakup of model elastic liquids
Anna S.L., McKinley G.H.
Journal of Rheology , 2001
108.
Surface tension driven jet break up of strain-hardening polymer solutions
Christanti Y., Walker L.M.
Journal of Non-Newtonian Fluid Mechanics , 2001
109.
Rodd L.E., Scott T.P., Cooper-White J.J., McKinley G.H.
Applied Rheology , 2005
110.
Drop formation and breakup of low viscosity elastic fluids: Effects of molecular weight and concentration
Tirtaatmadja V., McKinley G.H., Cooper-White J.J.
Physics of Fluids , 2006
111.
The effect of viscosity, yield stress, and surface tension on the deformation and breakup profiles of fluid filaments stretched at very high velocities
Valette R., Hachem E., Khalloufi M., Pereira A.S., Mackley M.R., Butler S.A.
Journal of Non-Newtonian Fluid Mechanics , 2019
115.
Self-Similar Capillary Pinchoff of an Inviscid Fluid
Day R.F., Hinch E.J., Lister J.R.
Physical Review Letters , 1998
116.
Multi-scale analysis of a viscoelastic liquid jet
Tirel C., Renoult M., Dumouchel C., Lisiecki D., Crumeyrolle O., Mutabazi I.
Journal of Non-Newtonian Fluid Mechanics , 2017
117.
Stability of a viscoelastic jet
Middleman S.
Chemical Engineering Science , 1965
118.
Surface-tension-driven breakup of viscoelastic liquid threads
Goren S.L., Gottlieb M.
Journal of Fluid Mechanics , 1982
120.
rcr_89_8_811bib120
Yarin
1993
121.
Iterated stretching of viscoelastic jets
Chang H., Demekhin E.A., Kalaidin E.
Physics of Fluids , 1999
122.
On the evolution and rupture of filaments in Giesekus and FENE models
Fontelos M.A., Li J.
Journal of Non-Newtonian Fluid Mechanics , 2004
123.
Formation of beads-on-a-string structures during break-up of viscoelastic filaments
Bhat P.P., Appathurai S., Harris M.T., Pasquali M., McKinley G.H., Basaran O.A.
Nature Physics , 2010
125.
Droplet Detachment and Satellite Bead Formation in Viscoelastic Fluids
Wagner C., Amarouchene Y., Bonn D., Eggers J.
Physical Review Letters , 2005
126.
Dynamic simulation of freely draining flexible polymers in steady linear flows
DOYLE P.S., SHAQFEH E.S., GAST A.P.
Journal of Fluid Mechanics , 1997
127.
rcr_89_8_811bib127
Bird
1987
128.
rcr_89_8_811bib128
Bird
1987
129.
Do we understand the physics in the constitutive equation
Rallison J.M., Hinch E.J.
Journal of Non-Newtonian Fluid Mechanics , 1988
131.
Phase separation in dilute polymer solutions at high-rate extension
Subbotin A.V., Semenov A.N.
Journal of Polymer Science, Part B: Polymer Physics , 2016
133.
How dilute are dilute solutions in extensional flows?
Clasen C., Plog J.P., Kulicke W.-., Owens M., Macosko C., Scriven L.E., Verani M., McKinley G.H.
Journal of Rheology , 2006
134.
Spinnability of Dilute Polymer Solutions
Malkin A.Y., Semakov A.V., Skvortsov I.Y., Zatonskikh P., Kulichikhin V.G., Subbotin A.V., Semenov A.N.
Macromolecules , 2017
136.
Iterated stretching, extensional rheology and formation of beads-on-a-string structures in polymer solutions
Oliveira M.S., Yeh R., McKinley G.H.
Journal of Non-Newtonian Fluid Mechanics , 2006
138.
The final stages of capillary break-up of polymer solutions
Sattler R., Gier S., Eggers J., Wagner C.
Physics of Fluids , 2012
139.
rcr_89_8_811bib139
Deblais
Phys. Rev. Lett. , 2018
140.
rcr_89_8_811bib140
Eggers
Phys. Fluids , 2014
141.
Large fluctuations in polymer solutions under shear
Helfand E., Fredrickson G.H.
Physical Review Letters , 1989
142.
rcr_89_8_811bib142
Doi
J. Phys. II , 1992
143.
Concentration fluctuations in polymer solutions under extensional flow
Cromer M., Villet M.C., Fredrickson G.H., Gary Leal L., Stepanyan R., Bulters M.J.
Journal of Rheology , 2013
144.
Liquid filament instability due to stretch-induced phase separation in polymer solutions
Kulichikhin V.G., Malkin A.Y., Semakov A.V., Skvortsov I.Y., Arinstein A.
European Physical Journal E , 2014
145.
On the nature of phase separation of polymer solutions at high extension rates
Semakov A.V., Kulichikhin V.G., Tereshin A.K., Antonov S.V., Malkin A.Y.
Journal of Polymer Science, Part B: Polymer Physics , 2015
146.
rcr_89_8_811bib146
Yang
Phys. Rev. Lett. , 2014
148.
rcr_89_8_811bib148
Semenov
AIP Conf. Proc. , 2016
149.
Phase separation kinetics in unentangled polymer solutions under high-rate extension
Semenov A.N., Subbotin A.V.
Journal of Polymer Science, Part B: Polymer Physics , 2017
150.
Phase Separation in Polymer Solutions under Extension
Subbotin A.V., Semenov A.N.
Polymer Science - Series C , 2018
151.
The instability of an annular thread of fluid
Goren S.L.
Journal of Fluid Mechanics , 1962
152.
Multiple droplets formation in ultrathin bridges of rigid rod dispersions
Subbotin A.V., Semenov A.N.
Journal of Rheology , 2020
153.
Measurement of relaxation times in extensional flow of weakly viscoelastic polymer solutions
Sousa P.C., Vega E.J., Sousa R.G., Montanero J.M., Alves M.A.
Rheologica Acta , 2016
156.
Microfluidic analog of the four-roll mill
Hudson S.D., Phelan F.R., Handler M.D., Cabral J.T., Migler K.B., Amis E.J.
Applied Physics Letters , 2004
158.
The effect of elasticity on drop creation in T-shaped microchannels
Husny J., Cooper-White J.J.
Journal of Non-Newtonian Fluid Mechanics , 2006
161.
rcr_89_8_811bib161
Ziabicki
1976
162.
rcr_89_8_811bib162
Papkov
1990