Instability of non-Newtonian jets with a surface tension gradient

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 6, 2009, Pages

  Gao, Zhanjun ^a  

^a EASTMAN KODAK COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 64649105484     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/6/065501     Document Type: Article

References (35)

1. Rayleigh L 1878 On the instability of jets Proc. Lond. Math. Soc. 10 4-13
2. Rayleigh L 1899 Scientific Papers vol I (London: Cambridge University Press) p 361
3. Lee H C 1974 Drop formation in a liquid jet IBM J. Res. Dev. 18 364
4. Levich V I 1962 Physicochemical Hydrodynamics (Englewood Cliffs, NJ: Prentice-Hall) p 361
5. Rutland D F and Jameson G J 1970 Theoretical prediction of the sizes of drops formed in the breakup of capillary jets Chem. Eng. Sci. 25 1689
6. Goedde E F and Yuen M C 1970 Experiments on liquid jet instability J. Fluid Mech. 40 495-511
7. Kowalewski T A 1996 On the separation of droplets from a liquid jet Fluid Dyn. Res. 17 121
8. Peregrine D H, Shoker G and Symon A 1990 The bifurcation of liquid bridges J. Fluid Mech. 212 25
9. Yuen M-C 1968 Nonlinear capillary instability of a liquid jet J. Fluid Mech. 33 151-63
10. Chaudhary K C and Redekopp L G 1980 The nonlinear capillary instability of a liquid jet: Part 1. Theory J. Fluid Mech. 96 257-74
11. Bogy D B 1979 Drop formation in a circular liquid jet Ann. Rev. Fluid Mech. 11 207-28
12. Mansour N and Lundgren T S 1990 Satellite formation in capillary jet breakup Phys. Fluids A 2 1141-4
13. Tomotika S 1935 On the stability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid Proc. R. Soc. Lond. A 150 322-37
14. Chandrasekhar S 1961 Hydrodynamic and Hydromagnetic Stability (Oxford: Clarendon)
15. Tjahjadi M, Stone H A and Ottino J M 1992 Satellite and subsatellite formation in capillary breakup J. Fluid Mech. 243 297-317
16. Egger J 1997 Nonlinear dynamics and breakup of free-surface flows Rev. Mod. Phys. 69 865-929
17. Darby R 1976 Viscoelastic Fluids (New York: Dekker)
18. Schowalter W R 1978 Mechanics of Non-Newtonian Fluids (Oxford: Pergamon)
19. Yarin A L 1993 Free Liquid Jets and Films: Hydrodynamics and Rheology (New York: Wiley)
20. Sterling A M and Sleicher C A 1975 The instability of capillary jets J. Fluid Mech. 68 477-95
21. Lin S P and Lian Z W 1990 Mechanism of the breakup of liquid jets AIAA J. 28 120-26
22. Lin S P and Ibrahim E A 1990 Instability of a viscous liquid jet surrounded by a viscous gas in a vertical pipe J. Fluid Mech. 218 641-58
23. Brenn G, Liu Z and Durst F 2000 Linear analysis of the temporal instability of axisymmetrical non-Newtonian liquid jets Int. J. Multiph. Flow 26 1621-44
24. Liu Z and Liu Z 2006 Linear analysis of three-dimensional instability of non-Newtonian liquid jets J. Fluid Mech. 559 451-9
25. Li X 1995 Mechanism of atomization of a liquid jet Atomization Sprays 5 89-105
26. Goren S and Gottlieb M 1982 Surface-tension-driven breakup of viscoelastic liquid threads J. Fluid Mech. 120 245-66
27. Furlani E P 2005 Temporal instability of viscous liquid microjets with spatially varying surface tension J. Phys. A: Math. Gen. 38 263-76
28. Chwalek J M et al 2002 A new method for deflecting liquid microjets Phys. Fluids 14 37
29. Furlani E P, Delametter C N, Chwalek J M and Trauernicht D P 2001 Surface tension induced instability of viscous liquid jets Tech. Proc. 4th Int. Conf. on Modeling and Simulation of Microsystems (Cambridge, MA: Applied Computational Reseasrch Society) p 186
30. Chwalek J M, Trauernicht D P, Delametter C N, Jeanmaire D L and Anagnostopoulos C 2001 Novel silicon-based continuous inkjet printhead employing asymmetric heating deflection means Tech. Proc. IS&T Non-Impact Printing (NIP17) Technologies Conference
31. Chwalek J M et al 2000 US Patent 6079821
32. Oldroyd J G 1958 Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids Proc. R. Soc. Lond. A 245 278-97
33. Oldroyd J G 1961 The hydrodynamics of materials whose rheological properties are complicated Rheol. Acta 1 337-44
34. Bird R B, Armstrong R C and Hassager O 1977 Dynamics of Polymeric Liquids Fluid Mechanics vol 1 (New York: Wiley)
35. Kroesser F W and Middleman S 1969 Viscoelastic jet stability AIChE J. 15 383-678