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Dynamics of the capillary breakup of a bridge in an elastic fluid

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Abstract

The tension of self-thinning filaments occurring upon the capillary breakup of liquid bridges in viscoelastic fluids is measured. The solution of high-molecular polymers with the concentration of 0.1 to 1% are studied. The stresses occurring in the filaments are determined and the effect of the hydrodynamic interaction between the filaments and the adjoining macroscopic volume (droplet) is evaluated. A theoretical analysis of the fluid inflow into the droplet shows that in the case of filament extension the rheology of the polymer liquids under consideration is different from that under the singleaxis compression in droplet flow.

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References

  1. A.V. Bazilevskii, S.I. Voronkov, V.M. Entov, and A.N. Rozhkov, “Orientation Effects upon the Breakup of Jets and Filaments of Dilute Polymer Solutions,” Dokl. Akad. Nauk SSSR 257, 336 (1981).

    Google Scholar 

  2. A.N. Rozhkov, “Dynamics of Filaments of Dilute Polymer Solutions,” Inzh.-Fiz. Zh. 45, 72 (1983).

    Google Scholar 

  3. A.V. Bazilevskii, V.M. Entov, M.M. Lerner, and A.N. Rozhkov, “Breakup of Filaments of Polymer Solutions,” Vysokomolekulyarnye Soedineniya. Ser. A 39, 474 (1997).

    Google Scholar 

  4. V.M. Entov and E.J. Hinch, “Effect of a Spectrum Relaxation Times on the Capillary Thinning of a Filament Elastic Liquids,” J. Non-Newtonian Fluid Mech. 72, 31 (1997).

    Article  Google Scholar 

  5. M. Stelter, G. Brenn, A.I. Yarin, R.P. Singh, and F. Durst, “Validation and Application of a Novel Elongational Device for Polymer Solutions,” J. Rheol. 44, 595 (2000).

    Article  ADS  Google Scholar 

  6. S.L. Anna and G.H. McKinley, “Elasto-Capillary Thinning and Breakup of Model Elastic Liquids,” J. Rheol. 45, 115 (2001).

    Article  ADS  Google Scholar 

  7. A.V. Bazilevskii, V.M. Entov, and A.N. Rozhkov, “Breakup of an Oldroyd Liquid Bridge as a Method of Rheological Testing of Polymer Solutions,” Vysokomolekulyarnye Soedineniya. Ser. A 43, 1161 (2001).

    Google Scholar 

  8. C. Clasen, J. Eggers, M.A. Fontelos, J. Li, and G.H. McKinley, “The Beads-on-String Structure of Viscoelastic Jets,” J. Fluid Mech. 556, 283 (2006).

    Article  MATH  ADS  Google Scholar 

  9. V.A. Dobrykh, A.V. Bazilevskii, and A.N. Rozhkov, “Investigation of Viscoelastic Properties of the Contents of Breathing Passages Using the Thinning Filament Method,” Laboratornoe Delo No. 7, 26 (1988).

    Google Scholar 

  10. A.V. Bazilevskii, A.N. Rozhkov, and M.E. Faustova, “Rheological Control of Mucolitic Therapy of Patients Suffering from Nonspecific Pulmonary Diseases,” Pulmonologiya No. 4, 17 (1992).

    Google Scholar 

  11. E. Zussman, A.L. Yarin, and R.M. Nagler, “Age and Flow Dependency of Salivary Viscoelasticity,” J. Dent. Res. 86, 281 (2007).

    Article  Google Scholar 

  12. A.V. Bazilevskii, V.M. Entov, and A.N. Rozhkov, “Breakup of a Liquid Bridge as aMethod of Rheological Testing of Biological Fluids,” Fluid Dynamics 46 (4), 613 (2011).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. A.V. Bazilevskii and A.N. Rozhkov, “Dynamics of Capillary Breakup of Elastic Jets,” FluidDynamics 49 (6), 827 (2014).

    MATH  Google Scholar 

  14. A.V. Bazilevskii and A.N. Rozhkov, “Dynamics and Breakup of Zigzag-Like Jets of Polymeric Liquids,” Fluid Dynamics 41 (4), 493 (2006).

    Article  ADS  Google Scholar 

  15. A.V. Bazilevskii, “Dynamics of Horizontal Viscoelastic Fluid Filaments,” Fluid Dynamics 48 (1), 97 (2013).

    Article  ADS  Google Scholar 

  16. D. Sachsenheimer, B. Hochstein, H. Buggisch, and N. Willenbacher, “Determination of Axial Forces during the Capillary Breakup of Liquid Filaments—the Tilted CaBER Method,” Rheol. Acta 51, 909 (2012).

    Article  Google Scholar 

  17. D. Sachsenheimer, B. Hochstein, and N. Willenbacher, “Experimental Study on a Capillary Thinning of Entangled Polymer Solutions,” Rheol. Acta 53, 725 (2014).

    Article  Google Scholar 

  18. L.D. Landau and E.M. Lifshitz, Fluid Mechanics, Pergamon Press, London (1987).

    MATH  Google Scholar 

  19. V.G. Babskii, N.D. Kopachevskii, A.D. Myshkis, L.A. Slobozhanin, and A.D. Tyuptsov, Hydromechanics of Weightlessness [in Russian], Nauka, Moscow (1976).

    MATH  Google Scholar 

  20. A. Adamson, Physical Chemistry of Surfaces, Wiley (1990).

    Google Scholar 

  21. R. Sattler, S. Gier, J. Eggers, and C. Wagner, “The Final Stages of Capillary Break-up of Polymer Solutions,” Phys. Fluids 24, 023101–1 (2012).

    Article  ADS  Google Scholar 

  22. A.Y. Malkin, A. Arinstein, and V.G. Kulichikhin, “Polymer Extension Flows and Instabilities,” Progress Polymer Sci. 39, 959 (2014).

    Article  Google Scholar 

  23. P. Schummer and K.H. Tebel, “A New Elongational Rheometer for Polymer Solutions,” Non-Newtonian Fluid Mech. 12, 331 (1983).

    Article  Google Scholar 

  24. A.Yu. Ishlinskii, “Rolling and Drawing at Large Strain Rates,” Prikl. Mat. Mekh. 7, 226 (1943).

    Google Scholar 

  25. V.M. Entov, Kh.S. Kestenboim, and A.N. Rozhkov, “Outflow of Elastoviscous Liquids from Convergent Channels,” Dokl. Akad. Nauk SSSR 282, 879 (1985).

    Google Scholar 

  26. V.M. Entov and A.N. Rozhkov, “Elastic Effects in Polymer Solution Flows in Channels of Variable Cross-Section and in Porous Media,” Inzh.-Fiz. Zh. 49, 390 (1985).

    Google Scholar 

  27. V.M. Entov and Kh.S. Kestenboim, “Mechanics of Formation of Fibers,” Fluid Dynamics 22 (5), 677 (1987).

    Article  MATH  ADS  Google Scholar 

  28. A.N. Rozhkov, “Paradox of ‘Self-Outflow’ of a Free Liquid Jet,” Fluid Dynamics 38 (4), 507 (2003).

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to A. B. Bazilevskii.

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Original Russian Text © A.B. Bazilevskii, A.N. Rozhkov, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 6, pp. 100–116.

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Bazilevskii, A.B., Rozhkov, A.N. Dynamics of the capillary breakup of a bridge in an elastic fluid. Fluid Dyn 50, 800–811 (2015). https://doi.org/10.1134/S0015462815060101

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