Steady shear flow of magnetic fiber suspensions: Theory and comparison with experiments

This paper is focused on the rheology of magnetic fiber suspensions in the presence of a magnetic field applied perpendicular to the flow. At low Mason numbers, Mn<0.1, the experimental flow curves show a steep initial section corresponding to the inclination and stretching of the gap-spanning aggregates formed upon magnetic field application. At higher Mason numbers, aggregates no longer stick to the walls and the flow curves reach a Bingham regime, with the dynamic yield stress growing with the magnetic field intensity. This yield stress appears to be about three times higher for the fiber suspensions than for the suspensions of spherical particles. Such difference, measured at relatively low magnetic field intensities, H0<30 kA/m, is explained in terms of the enhanced magnetic susceptibility of the aggregates composed of fibers compared to the aggregates composed of spherical particles. For weak magnetic fields, the forces of solid friction between fibers are expected to play a minor role on the stress...

[1]  Jonathan W. Bender,et al.  Properties and Applications of Commercial Magnetorheological Fluids , 1998, Smart Structures.

[2]  Pavel Kuzhir,et al.  Effect of the orientation of the magnetic field on the flow of a magnetorheological fluid. I. Plane channel , 2003 .

[3]  D. Koch,et al.  INTERACTIONS BETWEEN CONTACTING FIBERS , 1998 .

[4]  G. Bossis,et al.  Magnetorheology of fiber suspensions. I. Experimental , 2009 .

[5]  Georges Bossis,et al.  Yield stress in magnetorheological and electrorheological fluids: A comparison between microscopic and macroscopic structural models , 1997 .

[6]  Christopher W. Macosko,et al.  Rheology: Principles, Measurements, and Applications , 1994 .

[7]  J. Garnett,et al.  Colours in Metal Glasses and in Metallic Films. , 1904, Proceedings of the Royal Society of London.

[8]  Andrew N. Vavreck,et al.  Influence of Particle Shape on the Properties of Magnetorheological Fluids , 2007 .

[9]  G. Bossis,et al.  Magnetorheology of fiber suspensions. II. Theory , 2009 .

[10]  M. Shaw,et al.  Enhanced electrorheological fluids using anisotropic particles , 1998 .

[11]  A. Skjeltorp.  Ordering phenomena of particles dispersed in magnetic fluids (invited) , 1985 .

[12]  Yann Kae Kor,et al.  The electrorheological response of elongated particles , 2010 .

[13]  L. C. Davis,et al.  RHEOLOGY OF MAGNETORHEOLOGICAL FLUIDS: MODELS AND MEASUREMENTS , 1996 .

[14]  R. Brayner,et al.  The Polyol Process , 2013 .

[15]  G. Batchelor,et al.  Slender-body theory for particles of arbitrary cross-section in Stokes flow , 1970, Journal of Fluid Mechanics.

[16]  Norman M. Wereley,et al.  Impact of Nanowires on the Properties of Magnetorheological Fluids and Elastomer Composites , 2010 .

[17]  C. Rogers,et al.  Magnetorheological Fluids: Materials, Characterization, and Devices , 1996 .

[18]  Norman M. Wereley,et al.  Magnetorheology of submicron diameter iron microwires dispersed in silicone oil , 2008 .

[19]  Norman M. Wereley,et al.  BEHAVIOR OF MAGNETORHEOLOGICAL FLUIDS UTILIZING NANOPOWDER IRON , 2002 .

[20]  J. D. Carlson,et al.  COMMERCIAL MAGNETO-RHEOLOGICAL FLUID DEVICES , 1996 .

[21]  G. Bossis,et al.  New magnetorheological fluids based on magnetic fibers , 2007 .

[22]  Influence of particle shape on the magnetic and magnetorheological properties of nanoparticle suspensions , 2009 .

[23]  J Wang,et al.  Magnetorheological fluid devices: Principles, characteristics and applications in mechanical engineering , 2001 .

[24]  Robert A. Anderson,et al.  Chain model of electrorheology , 1996 .

[25]  Zhu,et al.  Periodic branched structures in a phase-separated magnetic colloid. , 1994, Physical review letters.

[26]  J. Månson,et al.  Fiber–fiber interaction in concentrated suspensions: Disperse fibers , 1999 .

[27]  J. Månson,et al.  Dynamics of a planar concentrated fiber suspension with non‐hydrodynamic interaction , 1994 .

[28]  Y. Otsubo.  Electrorheology of whisker suspensions , 1999 .

[29]  G. Batchelor,et al.  The stress generated in a non-dilute suspension of elongated particles by pure straining motion , 1971, Journal of Fluid Mechanics.

[30]  Norman M. Wereley,et al.  Dimorphic magnetorheological fluids: exploiting partial substitution of microspheres by nanowires , 2008 .

[31]  D. Klingenberg,et al.  Mechanical flocculation in flowing fiber suspensions , 2000, Physical review letters.

[32]  E. Andablo-Reyes,et al.  Dynamic rheology of sphere- and rod-based magnetorheological fluids. , 2009, The Journal of chemical physics.

[33]  M. Guyot,et al.  Permeability measurements in cobalt ferrite and carbonyl iron powders and suspensions , 2002 .

[34]  J. M. Ginder,et al.  Shear stresses in magnetorheological fluids: Role of magnetic saturation , 1994 .

[35]  R. G. Cox,et al.  Particle behavior in shear and electric fields. VI. The microrheology of rigid spheroids , 1974 .

[36]  Pierre J. Carreau,et al.  Modeling fiber interactions in semiconcentrated fiber suspensions , 2009 .

[37]  Sangtae Kim,et al.  Microhydrodynamics: Principles and Selected Applications , 1991 .

[38]  Glenn H. Fredrickson,et al.  The hydrodynamic stress in a suspension of rods , 1990 .

[39]  G. Bossis,et al.  Structure induced in suspensions by a magnetic field , 1994 .

[40]  Georges Bossis,et al.  Magnetorheology: Fluids, Structures and Rheology , 2002 .

[41]  S. B. Lindström,et al.  Simulation of the motion of flexible fibers in viscous fluid flow , 2007 .