Skip to main content
SpringerLink
Log in

Transient stress and interfacial area generated during breakup of a Newtonian thread immersed in a Newtonian medium

  • Original Contribution
  • Published:
Rheologica Acta Aims and scope Submit manuscript

Abstract

The transient stress and the transient average orientation generated by the breakup process of a long Newtonian filament imbedded in a quiescent Newtonian viscous liquid have been calculated. Rayleigh disturbances were used to describe the relaxation of the filament and the variation of interfacial area in the absence of flow during the course of disintegration process. The effect of viscosity ratio and initial radius of the filament were discussed. It was demonstrated that the predictions of the model in terms of the time-evolution of interfacial area can be used to select the best conditions for carrying out the breaking thread experiments. The predictions of the proposed model were compared to some experimental data on polyamide/polyethylene system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9a,b
Fig. 10a,b

Similar content being viewed by others

References

  • Batchelor GK (1970) The stress system in a suspension of force-free particles. J Fluid Mech 41:545–570

    Google Scholar 

  • Bousmina M (1999) Linear and non linear rheology of polymer blends: drop deformation and fiber breakup processes. Keynote lecture at Polybelnd’s99, Boucherville, 12–15 October 1999

    Google Scholar 

  • Bousmina M (2000) Plenary lecture. International Symposium on Rheology, dedicated to the 90th birthday of Prof. GV Vinogradov, Karacharovo, Russia, 22–27 May 2000

  • Chandrasekhar S (1964) Hydromagnetic problems in physics and astronomy. In: Brittin E (ed) Lectures in theoretical physics, vol 6. University of Colorado Press, Boulder, Colorado

  • Cristini V, Lawzdziewicz JB, Loewenberg M, Collins LR (2003a) Breakup in stochastic Stokes flows: sub-Kolmogorov drops in isotropic turbulence. J Fluid Mech 492:231–250

    Article  Google Scholar 

  • Cristini V, Guido S, Alfani A, Bawzdziewicz J, Loewenberg M (2003b) Drop breakup and fragment size distribution in shear flow. J Rheol 47:1283–1298

    Article  CAS  Google Scholar 

  • Doi M, Ohta T (1991) Dynamics and rheology of complex interfaces. J Chem Phys 95:1242–1248

    CAS  Google Scholar 

  • Elemans PHM, Janssen JM, Meijer HEH (1990) The measurement of interfacial tension in polymer/polymer systems: the breaking thread method. J Rheol 34:1311–1325

    Article  Google Scholar 

  • Elmendorp JJ (1986) A study on polymer blending microrheology. Polym Sci Eng 26:418–426

    CAS  Google Scholar 

  • Kaplan K (1973) Advanced calculus, 2nd edn. Addison-Wesley, Ontario, chap 5

  • Knops YMM, Slot JJM, Elemans PHM, Bulters JH (2001) Simultaneous breakup of multiple viscous threads surrounded by viscous liquid. AIChE J 47:1740

    CAS  Google Scholar 

  • Kuhn W (1953) Spontane Aufteilung von Flussigkeitszlindern in kleine kugeln. Kolloïd Z 132:84–99

    Google Scholar 

  • Onuki A (1987) Viscosity enhancement by domains in phase-separating fluids near the critical point: proposal of critical rheology. Phys Rev A 35:5149–5155

    Google Scholar 

  • Plateau J (1849) Acad Sci Bruxelles Mém 23:5

    Google Scholar 

  • Plateau M (1873) Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires, vol II, p 231

  • Rayleigh L (1879) On capillary phenomena of jets. Proc R Soc London 29:71–97

    Google Scholar 

  • Renardy Y, Cristini V, Li J (2002) Drop fragment distributions under shear with inertia. Int J Multiphase Flow 28:1125–1147

    Article  CAS  Google Scholar 

  • Rosenkilde CE (1967) Surface-energy tensor. J Math Phys 8:84–88

    CAS  Google Scholar 

  • Tomotika S (1935) On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proc R Soc London Ser A 150:322–337

    Google Scholar 

  • Xing P, Bousmina M, Rodrigue D, Kamal MR (2000) Critical experimental comparison between five techniques for the determination of interfacial tension in polymer blends: model system of polystyrene/polyamide-6. Macromolecules 33:8020–8033

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This work was financially supported by the NSERC (Natural Sciences and Engineering Research Council of Canada) and Canada Research Chair on Polymer Physics and Nanomaterials.

Author information

Author notes

  1. Wei Yu

    Present address: Department of Polymer Science and Engineering, Shanghai Jiao Tong University, 200240, Shanghai, People’s Republic of China

Authors and Affiliations

  1. Department of Chemical Engineering, Canada Research Chair on Polymer Physics and Nanomaterials, Laval University (CRASP, École Polytechnique), Quebec, Canada

    Abdelhamid Zkiek, Wei Yu & Mosto Bousmina

  2. Department of chemical engineering, CRSAP, École Polytechnique, Case postale 6079, Succ Centre ville, Montreal, Quebec, H3C A37, Canada

    Miroslav Grmela

Authors
  1. Abdelhamid Zkiek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wei Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mosto Bousmina
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Miroslav Grmela
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mosto Bousmina.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zkiek, A., Yu, W., Bousmina, M. et al. Transient stress and interfacial area generated during breakup of a Newtonian thread immersed in a Newtonian medium. Rheol Acta 43, 333–341 (2004). https://doi.org/10.1007/s00397-003-0346-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00397-003-0346-3

Keywords

Search

Navigation