Helical instability of a rotating viscous liquid jet

Physics of Fluids

Volumn 19, Issue 11, 2007, Pages

  Kubitschek, P J ^a   Weidman, D P ^a  

^a UCB 450   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

JETS; LINEAR STABILITY ANALYSIS; REYNOLDS NUMBER; ROTATIONAL FLOW; SURFACE TENSION; VISCOSITY OF LIQUIDS; VISCOUS FLOW;

AXISYMMETRIC MODE; FLUID DENSITY; HELICAL INSTABILITIES; HOCKING PARAMETER; PLANAR MODES; ROTATING VISCOUS LIQUID COLUMN; SPIRAL MODE;

FLUID DYNAMICS;

FLUID DYNAMICS; JETS; LINEAR STABILITY ANALYSIS; REYNOLDS NUMBER; ROTATIONAL FLOW; SURFACE TENSION; VISCOSITY OF LIQUIDS; VISCOUS FLOW;

EID: 36849030201     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2800371     Document Type: Article

References (30)

1. J. P. Kubitschek and P. D. Weidman, "The effect of viscosity on the stability of a uniformly rotating liquid column in zero gravity," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006003624 572, 261 (2007).
2. Lord Rayleigh, "On the stability of jets," Proc. London Math. Soc. PLMTAL0024-611510.1112/plms/s1-10.1.4 10, 4 (1879).
3. Lord Rayleigh, "On the instability of a cylinder of viscous liquid under capillary force," Philos. Mag. PHMAA40031-8086 34, 145 (1892).
4. L. M. Hocking and D. H. Michael, "The stability of a column of rotating liquid," Mathematika MTKAAB0025-5793 6, 25 (1959).
5. L. M. Hocking, "The stability of a rigidly rotating column of liquid," Mathematika MTKAAB0025-5793 7, 1 (1960).
6. J. Gillis, "Stability of a column of rotating viscous liquid," Proc. Cambridge Philos. Soc. PCPSA40068-6735 57, 152 (1961).
7. J. Gillis and B. Kaufman, "The stability of a rotating viscous jet," Q. Appl. Math. QAMAAY0033-569X 19, 301 (1962).
8. P. D. Weidman, M. Goto, and A. Fridberg, "On the stability of inviscid rotating immiscible fluids in zero gravity," Z. Phys. Chem. (Munich) ZPCFAX0044-3336 48, 921 (1997).
9. K. L. Henderson and C. F. Barenghi, "The stability of a superfluid rotating jet," J. Phys. A JPHAC50305-447010.1088/0305-4470/35/45/ 311 35, 9645 (2002).
10. A. Eggers and M. P. Brenner, "Spinning jets," in Proceedings of the IUTAM Symposium on Nonlinear Waves in Multiphase Flow, edited by H. C. Chang (Kluwer, Dordrecht, 1999).
11. J. Ashmore and H. A. Stone, "Instability of a rotating thread in a second immiscible liquid," Phys. Fluids PHFLE61070-663110.1063/ 1.1629127 16, 29 (2004).
12. L. Crane, S. Birch, and P. D. McCormack, "The effect of mechanical vibration on the break-up of a cylindrical water jet in air," Br. J. Appl. Phys. BJAPAJ0508-344310.1088/0508-3443/15/6/319 15, 743 (1964).
13. P. D. McCormack, L. Crane, and S. Birch, "An experimental and theoretical analysis of cylindrical liquid jets subjected to vibration," Br. J. Appl. Phys. BJAPAJ0508-344310.1088/0508-3443/16/ 3/315 16, 395 (1965).
14. R. J. Donnelly and W. Glaberson, "Experiments on the capillary instability of a liquid jet," Proc. R. Soc. London, Ser. A PRLAAZ1364-5021 290, 547 (1966).
15. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961).
16. E. F. Goedde and M. C. Yuen, "Experiments on liquid jet instability," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112070000289 40, 495 (1970).
17. N. Savva and W. M. Bush, "The stability of rotating jets," Bull. Am. Phys. Soc. BAPSA60003-0503 49, 53 (2004).
18. R. Zahniser, "Instabilities of rotating jets," B.S. thesis, Massachusetts Institute of Technology, Cambridge (2004).
19. D. Y. Manin and L. Y. Chernous'ko, "Experimental investigations on the stability of a quasi-two-dimensional jet flow produced in a rotating fluid by the method of sources and sinks," Atmos. Oceanic Phys. IAOPB20375-8303 26, 5 (1990).
20. J. P. Kubitschek, "The effect of viscosity on the stability of a uniformly rotating liquid column," Ph.D. thesis, University of Colorado, Boulder (2006).
21. T. J. Pedley, "On the instability of viscous flow in a rapidly rotating pipe," J. Fluid Mech. JFLSA70022-112010.1017/ S002211206900098X 35, 97 (1969).
22. P. A. Mackrodt, "Stability of Hagen-Poiseuille flow with superimposed rigid rotation," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112076001304 73, 153 (1976).
23. L. Talbot, "Laminar swirling pipe flow," J. Appl. Mech. JAMCAV0021-8936 21, 1 (1954).
24. P. D. Weidman and J. P. Kubitschek, "Contraction of an inviscid swirling liquid jet: A new solution in honor of Leonhard Euler in the year of his 300th birthday," Phys. Fluids (submitted).
25. X. Li, "Mechanism of atomization of a liquid jet," Atomization Sprays ATSPE21044-5110 5, 89 (1995).
26. E. Villermaux, P. H. Marmottant, and J. Duplat, "Ligament-mediated spray formation," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.92.074501 92, 074501 (2004).
27. P. H. Marmottant and E. Villermaux, "On spray formation," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003006529 498, 73 (2004).
28. S. P. Lin and Z. W. Lian, "Absolute and convective instability of a viscous liquid jet surrounded by a viscous gas in a vertical pipe," Phys. Fluids A PFADEB0899-821310.1063/1.858662 5, 771 (1993).
29. S. J. Leib and M. E. Goldstein, "Convective and absolute instability of a viscous liquid jet," Phys. Fluids PFLDAS0031-917110.1063/1.865690 29, 954 (1986).
30. S. P. Lin and R. D. Reitz, "Drop and spray formation from a liquid jet," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.30.1.85 30, 85 (1998).