The capillary instability of a thin cylinder of viscous ferrofluid in a longitudinal magnetic field

Journal of Applied Mathematics and Mechanics

Volumn 65, Issue 2, 2001, Pages 243-251

  Korovin, V M ^a  

^a NONE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035537903     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(01)00028-4     Document Type: Article

References (19)

1. Rosensweig R.E. Ferrohydrodynamics. 1985;Cambridge University Press, Cambridge.
2. Berkovsky B.M., Medvedev V.F., Krakov M.S. Magnetic Fluids: Engineering Applications. 1993;Oxford University Press, Oxford.
3. Arkhipenko V.I., Barkov Yu.D., Bashtovol V.G., Krakov M.S. Investigation of the stability of an immovable cylindrical column of a magnetizable liquid. Izv. Akad. Nauk SSSR. MZhG. 4:1980;3-8.
4. Bashtovoi V.G., Krakov M.S. The stability of an axisymmetrical jet of magnetizable liquid. Zh. Prikl. Mekh. Tekh. Fiz. 4:1978;147-153.
5. Korovin V.M., Kubasov A.A. Tangential magnetic field induced structure in a thin layer of viscous magnetic fluid when developing Rayleigh-Taylor instability. J. Magn. Magnetic Materials. 202:(2/3):1999;547-553.
6. Lord Rayleigh. On the instability of a cylinder of viscous liquid under capillary force. Phil. Mag. 34:(207):1892;145-154.
7. Taylor G.I. The formation of emulsions in definable fields of flow. Proc. Roy. Soc. London. Ser. A. 146:(858):1934;501-523.
8. Rumscheidt F.D., Mason S.G. Break-up of stationary liquid threads. J. Colloid Sci. 17:(3):1962;260-269.
9. Lee W.-K., Yu K.-K.L., Flumerfelt R.W. Instability of stationary and uniformly moving cylindrical fluid bodies. II. Viscoelastic threads and experimental observations. Int. J. Multiphase Flow. 7:(4):1981;385-400.
10. Stone H.A., Bentley B.J., Leal L.G. An experimental study of transient effects in the break-up of viscous drops. J. Fluid Mech. 173:1986;131-158.
11. Tomotika S. On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proc. Roy. Soc. London. Ser. A. 150:(870):1935;322-337.
12. Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability. 1961;Clarendon Press, Oxford.
13. Lee W.K., Flumerfelt R.W. Instability of stationary and uniformly moving cylindrical fluid bodies. I. Newtonian systems. Int. Multiphase Flow. 7:(4):1981;363-383.
14. Stone H.A., Brenner M.P. Note on the capillary thread instability for fluids of equal viscosities. J. Fluid Mech. 318:1996;373-374.
15. Stone H.A., Leal L.G. Relaxation and break-up of an initially extended drop in an otherwise quiescent fluid. J. Fluid Mech. 198:1989;399-427.
16. Papageorgiou D. On the break-up of viscous liquid threads. Phys. Fluids. 7:1995;1529-1544.
17. Brenner M.P., Lister J.R., Stone H.A. Pinching threads, singularities and the number 0,0304.Phys. Fluids. 8:1996;2827-2836.
18. Lister J.R., Stone H.A. Capillary break-up of a viscous thread surrounded by another viscous fluid. Phys. Fluids. 10:1998;2758-2764.
19. Moiseyev N.N., Rumyantsev V.V. Dynamics Stability of Bodies Containing Fluid. 1968;Springer, Berlin.