Chain-induced effects in the Faraday instability on ferrofluids in a horizontal magnetic field

Physics of Fluids

Volumn 16, Issue 4, 2004, Pages 925-935

  Mekhonoshin, V V ^a   Lange, Adrian ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ENERGY DISSIPATION; FARADAY EFFECT; MAGNETIC FIELDS; MAXWELL EQUATIONS; VISCOSITY; VISCOSITY OF LIQUIDS; WAVE EFFECTS;

CHAIN-INDUCED EFFECTS; DIPOLE-DIPOLE INTERACTIONS; FERROFLUIDS;

FLUID DYNAMICS;

INSTABILITY;

EID: 1842785584     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1649757     Document Type: Article

References (46)

1. R. E. Rosensweig, Ferrohydrodynamics (Cambridge University Press, Cambridge, 1993).
2. P. G. de Gennes and P. A. Pincus, "Pair correlations in a ferromagnetic colloid," Phys. Kondens. Mater. 11, 189 (1970).
3. P. C. Jordan, "Field-dependent chain formation by ferromagnetic colloids," Mol. Phys. 38, 769 (1979).
4. S. Taketomi, H. Takashi, N. Inava, and H. Miyajima, "Experimental and theoretical investigations on aggregation of magnetic particles in magnetic fluids," J. Phys. Soc. Jpn. 60, 1689 (1991).
5. V. M. Buzmakov and A. F. Pshenichnikov, "On the structure of microaggregates in magnetite colloids," J. Colloid Interface Sci. 182, 63 (1996).
6. R. B. Bird, "Useful non-Newtonian models," Annu. Rev. Fluid Mech. 8, 13 (1976).
7. R. B. Bird, "Constitutive equations for polymeric liquids," Annu. Rev. Fluid Mech. 27, 169 (1995).
8. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1986).
9. J. L. Ericksen, "Anisotropic fluids," Arch. Ration. Mech. Anal. 4, 231 (1960).
10. J. L. Ericksen, "Theory of anisotropic fluids," Trans. Soc. Rheol. 6, 29 (1960).
11. F. M. Leslie, "Some constitutive equations for anisotropic fluids," Q. J. Mech. Appl. Math. 19, 357 (1966).
12. O. Parodi, "Stress tensor for a nematic liquid crystal," J. Phys. (Paris) 31, 581 (1970).
13. F. M. Leslie, "An analysis of a flow instability in nematic liquid crystals," J. Phys. D 9, 925 (1976).
14. M. Simoes, A. J. Palagana, and L. R. Eangelista, "Unstable periodic structures in nematic liquid crystals," Braz. J. Phys. 28, 348 (1998).
15. F. M. Leslie, "Magnetohydrodynamic effects in the nematic mesophase," Chem. Phys. Lett. 13, 368 (1972).
16. M. G. Clark and F. M. Leslie, "A calculation of orientational relaxation in nematic liquid crystals," Proc. R. Soc. London, Ser. A 361, 463 (1978).
17. P. G. de Gennes, Physics of Liquid Crystals (Oxford University Press, London, 1974).
18. S. Chandrasekhar, Liquid Crystals (Cambridge University Press, Cambridge, 1977).
19. V. N. Pokrovskij, "Stresses, viscosity, and optical anisotropy of a moving suspension of rigid ellipsoids," Sov. Phys. Usp. 14, 737 (1972).
20. V. N. Pokrovskij, Statistical Mechanics of the Dilute Suspensions (Nauka, Moscow, 1978).
21. R. Hanaoka, S. Takata, H. Fujita, T. Fukami, K. Sakurai, K. Isobe, and T. Himo, "Electroviscoelastic properties in ER gel of disperse system under DC electric field," Int. J. Mod. Phys. B 16, 2433 (2002).
22. Y. An, B. Liu, and M. Shaw, "Soft gels with ordered iron particles: Fabrication and electroviscoelastical response," Int. J. Mod. Phys. B 16, 2440 (2002).
23. G. Bossis, S. Lacis, A. Mainer, and O. Volkova, "Magnetorheological fluids," J. Magn. Magn. Mater. 252, 224 (2002).
24. A. Y. Zubarev and L. Y. Iskakova, "Effect of chainlike aggregates on dynamical properties of magnetic liquids," Phys. Rev. E 61, 5415 (2000).
25. M. Faraday, "On the forms and states assumed by fluids in contact with vibrating elastic surfaces," Philos. Trans. R. Soc. London 52, 319 (1831).
26. H. W. Müller, H. Wittmer, C. Wagner, J. Albers, and K. Knorr, "Analytic stability theory for Faraday waves and the observation of the harmonic surface response," Phys. Rev. Lett. 78, 2357 (1997).
27. W. S. Edwards and S. Fauve, "Pattern and quasi-patterns in the Faraday experiment," J. Fluid Mech. 278, 123 (1994).
28. H. W. Müller, "Periodic triangular patterns in the Faraday experiment," Phys. Rev. Lett. 71, 3287 (1993).
29. A. Kudrolli, B. Pier, and J. P. Gollub, "Superlattice patterns in surface waves," Physica D 123, 99 (1998).
30. H. Arbell and J. Fineberg, "Spatial and temporal dynamics of two interacting modes in parametrically driven surface waves," Phys. Rev. Lett. 81, 4384 (1998).
31. H. Arbell and J. Fineberg, "Two-mode rhomboidal states in driven surface waves," Phys. Rev. Lett. 84, 654 (2000).
32. K. Kumar and L. Tuckerman, "Parametric instability of the interface between two fluids," J. Fluid Mech. 279, 49 (1994).
33. J. Bechhoefer, V. Ego, S. Manneville, and B. Johnson, "An experimental study of the onset of parametrically pumped surface waves in viscous fluids," J. Fluid Mech. 288, 325 (1995).
34. E. Cerda and E. Tirapegui, "Faraday's instability for viscous fluids," Phys. Rev. Lett. 78, 859 (1997).
35. O. Lioubashevski, J. Fineberg, and L. S. Tuckerman, "Scaling of the transition to parametrically driven surface waves in highly dissipative systems," Phys. Rev. E 55, R3832 (1997).
36. S. Kumar, "Mechanism for the Faraday instability in viscous liquids," Phys. Rev. E 62, 1416 (2000).
37. V. V. Mekhonoshin and A. Lange, "Faraday instability on viscous ferrofluids in a horizontal magnetic field: Oblique rolls of arbitrary orientation," Phys. Rev. E 65, 061509 (2002).
38. C. Wagner, H. W. Müller, and K. Knorr, "Faraday waves on a viscoelastic liquid," Phys. Rev. Lett. 83, 308 (1999).
39. H. W. Müller and W. Zimmermann, "Faraday instability in a linear viscoelastic fluid," Europhys. Lett. 45, 169 (1999).
40. S. Kumar, "Parametrically driven surface waves in viscoelastic liquids," Phys. Fluids 11, 1970 (1999).
41. S. Kumar, "Vibration-induced interfacial instabilities in viscoelastic fluids," Phys. Rev. E 65, 026305 (2002).
42. H. W. Müller, "Parametrically driven surface waves on viscous ferrofluids," Phys. Rev. E 58, 6199 (1998).
43. T. Völker and S. Odenbach, "The influence of a uniform magnetic field on the Soret coefficient of magnetic nanoparticles," Phys. Fluids 15, 2198 (2003).
44. P. Chen and J. Vinals, "Pattern selection in Faraday waves," Phys. Rev. Lett. 79, 2670 (1997).
45. P. Chen and J. Vinals, "Amplitude equation and pattern selection in Faraday waves," Phys. Rev. E 60, 559 (1999).
46. M. A. Martsenyuk, Y. L. Raikher, and M. I. Shliomis, "Kinetics of magnetization of suspensions of ferromagnetic particles," Zh. Eksp. Teor. Fiz. 65, 834 (1974).