Linear stability of non-Newtonian annular liquid sheets

Acta Mechanica

Volumn 137, Issue 1, 1999, Pages 33-42

  Alleborn, N ^a   Raszillier, H ^a   Durst, F ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DISPERSIONS; JETS; VISCOUS FLOW;

LINEAR STABILITY; NON-NEWTONIAN ANNULAR LIQUID SHEETS;

NON NEWTONIAN FLOW;

EID: 0033320192     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01313142     Document Type: Article

References (16)

1. Lord Rayleigh: On the instability of jets. Proc. London Math. Soc. 10, 4-13 (1879).
2. Weber, C.: Zum Zerfall eines Flüssigkeitsstrahls. ZAMM 11, 136-154 (1931).
3. Eggers, J.: Nonlinear dynamics and breakup of free-surface flows. Rev. Mod. Phys. 69, 865-929 (1997).
4. Lin, S. P., Lian, Z. W., Creighton, B. J.: Absolute and convective instability of a liquid sheet. J. Fluid Mech. 220, 673-689 (1990).
5. Weinstein, S. J., Clarke, A., Moon, A. G., Simister, E. A.: Time-dependent equations governing the shape of a 2-dimensional liquid curtain: 1. Theory. Phys. Fluids 9, 3625-3636 (1997).
6. Squire, H. B.: Investigation of the instability of a moving liquid film. Bri. J. Appl. Phys. 4, 167-169 (1953).
7. Müller, Ch., Raszillier, H., Durst, F.: Signal-response analysis of multi-layer curtain coating. In: 9th International Coating Science and Technology Symposium, Newark, Delaware 1998.
8. Crapper, G. D., Dombrowski, N.: Kelvin-Helmholtz wave growth on cylindrical sheets. J. Fluid Mech. 68, 497-502 (1975).
9. Camatte, P.: Etude des instabilities d'une nappe liquide de geometrie annulaire en pulverisation assistee. PhD thesis, Faculte des sciences de l'universite de Rouen, Rouen 1992.
10. Lee, J.-G., Chen, L.-D.: Linear stability analysis of gas-liquid interface. AIAA J. 29, 1589-1595 (1991).
11. Alleborn, N.: Die Stabilität von Flüssigkeitsstrahlen und zylindrischen Filmen. Diplomarbeit, Universität Erlangen-Nürnberg, Lehrstuhl für Strömungsmechanik, Erlangen 1994.
12. Durst, F., Alleborn, N., Raszillier, H.: Instability mechanisms of liquid sheets and jets. In: Proceedings of the German-Japanese Symposium on Multi-Phase Flow (Müller, U., Saito, T., Rust, K. eds.), pp. 253-270. Kernforschungszentrum Karlsruhe 1994.
13. Li, X., Shen, J.: Instability of an annular viscous liquid jet. Acta Mech. 114, 167-183 (1996).
14. Liu, Z., Brenn, G., Durst, F.: Linear analysis of temporal instability of axisymmetrical non-Newtonian liquid jets. Int. J. Multiphase Flow (submitted).
15. Liu, Z., Brenn, G., Durst, F.: Linear analysis of the instability of two-dimensional non-Newtonian liquid sheets. J. Non-Newtonian Fluid Mech. 78, 133-166 (1998).
16. Giesekus, H.: Phänomenologische Rheologie. Berlin Heidelberg New York Tokyo: Springer 1994.