Abstract
Applying Green's continuum theory of a slender body, the process of liquid jet break-up is analysed for a viscoelastic upper-convected Jeffreys fluid. In contrast to a Newtonian liquid an enforced growth of the perturbation is received from a linear analysis. A non-linear numerical analysis shows the viscosity-dependent filament formation between growing droplets of the viscoelastic liquid. The radius of these filaments decreases in an uniaxial extensional flow.
Similar content being viewed by others
References
Lord Rayleigh (1878) Proc London Math Soc 10: 4
Bogy DB (1979) IBM J Res Develop 23: 87
Bogy DB (1979) Phys Fluids 22: 224
Shokoohi F (1976) Ph.D. Thesis, Columbia Univ. New York
Schümmer P, Tebel KH (1982) Proceedings 2nd World Congress Chem Engineering Montreal, Canada 1981. Germ Chem Eng 5: 209
Keunings RJ (1986) Comp Phys 62: 199
Green AE, Laws N (1966) Proc Roy Soc Ser A283: 145
Green AE, Naghdi PM (1970) Int J Solids Structure 6: 209
Green AE, Naghdi PM, Wenner ML (1974) Proc Roy Soc London A 337: 451
Green AE (1976) Int J Eng Sci 14: 49
Green AE, Laws N (1968) Int J Eng Sci 6: 317
Bogy DB (1978) Phys Fluids 21: 190
Bogy DB (1978) J App Mech 45: 469
Bogy DB (1979) Ann Rev Fluid Mech 11: 207
Bogy DB, Shine SJ, Talke FE (1980) J Comp Phys 38: 294
Caulk DA (1976) Ph.D. Thesis, Univ. Calif. Berkeley
Bechtel SE, Forest MG, Bogy DB (1986) J Non-Newtonian Fluid Mech 21: 273
Middleman S (1965) Chem Eng Sci 20: 1037
Goren SL, Gottlieb M (1982) J Fluid Mech 120: 245
Shine SJ, Bogy DB, Talke FE (1980) J Comp Phys 38: 3, 294, 326
Bousfield DW, Keunings R, Marucci G, Denn MM (1986) Non-Newtonian Fluid Mech 21: 79
Lafrance P (1975) Phys Fluids 18: 428
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schümmer, P., Thelen, H.G. Break-up of a viscoelastic liquid jet. Rheol Acta 27, 39–43 (1988). https://doi.org/10.1007/BF01372448
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01372448