Abstract
Field-induced static and dynamic yield stresses are explored for magnetorheological (MR) suspensions in an aging, yield stress matrix fluid composed of an aqueous dispersion of Laponite® clay. Using a custom-built magnetorheometry fixture, the MR response is studied for magnetic field strengths up to 1 T and magnetic particle concentrations up to 30 v%. The yield stress of the matrix fluid, which serves to inhibit sedimentation of dispersed carbonyl iron magnetic microparticles, is found to have a negligible effect on the field-induced static yield stress for sufficient applied fields, and good agreement is observed between field-induced static and dynamic yield stresses for all but the lowest field strengths and particle concentrations. These results, which generally imply a dominance of inter-particle dipolar interactions over the matrix fluid yield stress, are analyzed by considering a dimensionless magnetic yield parameter that quantifies the balance of stresses on particles. By characterizing the applied magnetic field in terms of the average particle magnetization, a rheological master curve is generated for the field-induced static yield stress that indicates a concentration–magnetization superposition. The results presented herein will provide guidance to formulators of MR fluids and designers of MR devices who require a field-induced static yield stress and a dispersion that is essentially indefinitely stable to sedimentation.
Similar content being viewed by others
References
Abou B, Bonn D, Meunier J (2003) Nonlinear rheology of Laponite suspensions under an external drive. J Rheol 47(4):979–988
Bonn D, Denn MM (2009) Yield stress fluids slowly yield to analysis. Science 324(5933):1401–1402
Bonn D, Kellay H, Tanaka H, Wegdam G, Meunier J (1999) Laponite: what is the difference between a gel and a glass? Langmuir 15(22):7534–7536
Bonn D, Tanase S, Abou B, Tanaka H, Meunier J (2002) Laponite: aging and shear rejuvenation of a colloidal glass. Phys Rev Lett 89(1):015701
Bossis G, Lemaire E (1991) Yield stresses in magnetic suspensions. J Rheol 35(7):1345–1354
Bossis G, Lacis S, Meunier A, Volkova O (2002) Magnetorheological fluids. J Magn Magn Mater 252:224–228
Carlson JD, Matthis W, Toscano JR (2001) Smart prosthetics based on magnetorheological fluids. In: Smart Structures and Materials 2001: Industrial and Commercial Applications of Smart Structures Technologies, vol 4332. Proceedings of the Society of Photo-Optical Instrumentation Engineers (Spie). Spie-Int Soc Optical Engineering, Bellingham, pp 308–316
Chhabra R (1993) Bubbles, drops, and particles in non-Newtonian fluids. CRC, Boca Raton
Chin BD, Park JH, Kwon MH, Park OO (2001) Rheological properties and dispersion stability of magnetorheological (MR) suspensions. Rheol Acta 40(3):211–219
Cho MS, Choi HJ (2004) Magnetorheological characterization of polymer-iron composite suspensions. In: Kang S-G, Kobayashi T (eds) Designing, Processing and Properties of Advanced Engineering Materials, vol 449–452. Materials Science Forum. Trans Tech, Zurich-Uetikon, pp 1201–1204
Cocard S, Tassin JF, Nicolai T (2000) Dynamical mechanical properties of gelling colloidal disks. J Rheol 44(3):585–594
de Vicente J, Lopez-Lopez MT, Gonzalez-Caballero F, Duran JDG (2003) Rheological study of the stabilization of magnetizable colloidal suspensions by addition of silica nanoparticles. J Rheol 47(5):1093–1109
de Vicente J, Vereda F, Segovia-Gutierrez JP, Morales MD, Hidalgo-Alvarez R (2010) Effect of particle shape in magnetorheology. J Rheol 54(6):1337–1362
de Vicente J, Klingenberg DJ, Hidalgo-Alvarez R (2011a) Magnetorheological fluids: a review. Soft Matter 7(7):3701–3710
de Vicente J, Ruiz-Lopez JA, Andablo-Reyes E, Segovia-Gutierrez JP, Hidalgo-Alvarez R (2011b) Squeeze flow magnetorheology. J Rheol 55(4):753–779
Deshmukh SS (2006) Development, characterization and applications of magnetorheological fluid based ‘smart’ materials on the macro-to-micro scale. Ph.D. Thesis, Dept. of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA
Dyke SJ, Spencer BF, Sain MK, Carlson JD (1996) Modeling and control of magnetorheological dampers for seismic response reduction. Smart Mater Struct 5(5):565–575
Fang FF, Choi HJ, Jhon MS (2009) Magnetorheology of soft magnetic carbonyl iron suspension with single-walled carbon nanotube additive and its yield stress scaling function. Colloid Surface A 351(1–3):46–51
Felt DW, Hagenbuchle M, Liu J, Richard J (1996) Rheology of a magnetorheological fluid. J Intell Mater Syst Struct 7(5):589–593
Fermigier M, Gast AP (1992) Structure evolution in a paramagnetic latex suspension. J Colloid Interface Sci 154(2):522–539
Fielding SM, Sollich P, Cates ME (2000) Aging and rheology in soft materials. J Rheol 44(2):323–369
Ginder JM, Davis LC, Elie LD (1996) Rheology of magnetorheological fluids: models and measurements. Int J Mod Phys B 10(23–24):3293–3303
Goncalves FD, Koo J-H, Ahmadian M (2006) A review of the state of the art in magnetorheological fluid technologies—part I: MR fluid and MR fluid models. Shock Vib Digest 38(3):203–219
Jabbari-Farouji S, Tanaka H, Wegdam GH, Bonn D (2008) Multiple nonergodic disordered states in Laponite suspensions: a phase diagram. Phys Rev E 78(6):061405
Jolly MR, Bender JW, Carlson JD (1999) Properties and applications of commercial magnetorheological fluids. J Intell Mater Syst Struct 10(1):5–13
Joshi YM, Reddy GRK (2008) Aging in a colloidal glass in creep flow: time-stress superposition. Phys Rev E 77(2):021501
Klingenberg DJ (2001) Magnetorheology: applications and challenges. AIChE J 47(2):246–249
Klingenberg DJ, Zukoski CF (1990) Studies on the steady-shear behavior of electrorheological suspensions. Langmuir 6(1):15–24
Klingenberg DJ, Ulicny JC, Golden MA (2007) Mason numbers for magnetorheology. J Rheol 51(5):883–893
Kordonski WI, Golini D (1999) Fundamentals of magnetorheological fluid utilization in high precision finishing. J Intell Mater Syst Struct 10(9):683–689
Kordonski W, Gorodkin S, Zhuravski N (2001) Static field stress in magnetorheological fluid. Int J Mod Phys B 15(6–7):1078–1084
Lemaire E, Meunier A, Bossis G, Liu J, Felt D, Bashtovoi V, Matoussevitch N (1995) Influence of the particle size on the rheology of magnetorheological fluids. J Rheol 39(5):1011–1020
Lim ST, Cho MS, Jang IB, Choi HJ (2004) Magnetorheological characterization of carbonyl iron based suspension stabilized by fumed silica. J Magn Magn Mater 282:170–173
Lim ST, Choi HJ, Jhon MS (2005) Magnetorheological characterization of carbonyl iron–organoclay suspensions. IEEE Trans Magn 41(10):3745–3747
Liu J, Gardel ML, Kroy K, Frey E, Hoffman BD, Crocker JC, Bausch AR, Weitz DA (2006) Microrheology probes length scale dependent rheology. Phys Rev Lett 96(11):118104
Lopez-Lopez MT, de Vicente J, Bossis G, Gonzalez-Caballero F, Duran JDG (2005) Preparation of stable magnetorheological fluids based on extremely bimodal iron-magnetite suspensions. J Mater Res 20(4):874–881
Lopez-Lopez MT, Zugaldia A, Gonzalez-Caballero F, Duran JDG (2006) Sedimentation and redispersion phenomena in iron-based magnetorheological fluids. J Rheol 50(4):543–560
Martin JE, Anderson RA (1996) Chain model of electrorheology. J Chem Phys 104(12):4814–4827
Martin C, Pignon F, Piau J-M, Magnin A, Lindner P, Cabane B (2002) Dissociation of thixotropic clay gels. Phys Rev E 66(2):021401
Møller PCF, Mewis J, Bonn D (2006) Yield stress and thixotropy: on the difficulty of measuring yield stresses in practice. Soft Matter 2(4):274–283
Møller PCF, Fall A, Chikkadi V, Derks D, Bonn D (2009) An attempt to categorize yield stress fluid behaviour. Philos Trans R Soc A-Math Phys Eng Sci 367(1909):5139–5155
Mourchid A, Levitz P (1998) Long-term gelation of Laponite dispersions. Phys Rev E 57(5):R4887–R4890
Mourchid A, Delville A, Lambard J, LeColier E, Levitz P (1995) Phase diagram of colloidal dispersions of anisotropic charged particles: equilibrium properties, structure, and rheology of Laponite suspensions. Langmuir 11(6):1942–1950
Negi AS, Osuji CO (2010) Time-resolved viscoelastic properties during structural arrest and aging of a colloidal glass. Phys Rev E 82(3):031404
Ngatu GT, Wereley NM, Karli JO, Bell RC (2008) Dimorphic magnetorheological fluids: exploiting partial substitution of microspheres by nanowires. Smart Mater Struct 17(4):8
Nguyen QD, Boger DV (1992) Measuring the flow properties of yield stress fluids. Annu Rev Fluid Mech 24:47–88
Ocalan M (2011) Magnetorheological fluids for extreme environments: stronger, lighter, hotter. Ph.D. Thesis, Dept. of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA
Olabi AG, Grunwald A (2007) Design and application of magneto-rheological fluid. Mater Design 28(10):2658–2664
Park JH, Kwon MH, Park OO (2001) Rheological properties and stability of magnetorheological fluids using viscoelastic medium and nanoadditives. Korean J Chem Eng 18(5):580–585
Park BJ, Fang FF, Choi HJ (2010) Magnetorheology: materials and application. Soft Matter 6(21):5246–5253
Park BO, Park BJ, Hato MJ, Choi HJ (2011) Soft magnetic carbonyl iron microsphere dispersed in grease and its rheological characteristics under magnetic field. Colloid Polym Sci 289(4):381–386
Parthasarathy M, Klingenberg DJ (1996) Electrorheology: mechanisms and models. Mat Sci Eng R 17(2):57–103
Petit L, Barentin C, Colombani J, Ybert C, Bocquet L (2009) Size dependence of tracer diffusion in a Laponite colloidal gel. Langmuir 25(20):12048–12055
Phulé PP, Mihalcin MP, Genc S (1999) The role of the dispersed-phase remnant magnetization on the redispersibility of magnetorheological fluids. J Mater Res 14(7):3037–3041
Rabinow J (1948) The magnetic fluid clutch. AIEE Trans 67:1308–1315
Rankin PJ, Horvath AT, Klingenberg DJ (1999) Magnetorheology in viscoplastic media. Rheol Acta 38(5):471–477
Rich JP, Lammerding J, McKinley GH, Doyle PS (2011a) Nonlinear microrheology of an aging, yield stress fluid using magnetic tweezers. Soft Matter 7(21):9933–9943
Rich JP, McKinley GH, Doyle PS (2011b) Size dependence of microprobe dynamics during gelation of a discotic colloidal clay. J Rheol 55(2):273–299
Rich JP, McKinley GH, Doyle PS (2012) Arrested chain growth during magnetic directed particle assembly in yield stress matrix fluids. Langmuir 28(7):3683–3689
Ruzicka B, Zaccarelli E (2011) A fresh look at the Laponite phase diagram. Soft Matter 7(4):1268–1286
Ruzicka B, Zulian L, Ruocco G (2004) Routes to gelation in a clay suspension. Phys Rev Lett 93(25):258301
Ruzicka B, Zulian L, Ruocco G (2006) More on the phase diagram of Laponite. Langmuir 22(3):1106–1111
Shahin A, Joshi YM (2010) Irreversible aging dynamics and generic phase behavior of aqueous suspensions of laponite. Langmuir 26(6):4219–4225
Spencer BF, Dyke SJ, Sain MK, Carlson JD (1997) Phenomenological model for magnetorheological dampers. J Eng Mech-ASCE 123(3):230–238
Thompson DW, Butterworth JT (1992) The nature of Laponite and its aqueous dispersions. J Colloid Interface Sci 151(1):236–243
Volkova O, Bossis G, Guyot M, Bashtovoi V, Reks A (2001) Magnetorheology of magnetic holes compared to magnetic particles. J Rheol 44(1):91–104
Waigh TA (2005) Microrheology of complex fluids. Rep Prog Phys 68(3):685–742
Zhang K, Choi BI, Choi HJ, Jhon MS (2010) Comment on ’Fabrication of uniform core-shell structural calcium and titanium precipitation particles and enhanced electrorheological activities’. Nanotechnology 21(37):378001
Zitha PLJ (2004) Method of drilling with magnetorheological fluid. US patent number 7021406
Acknowledgements
Acknowledgement is made to the Donors of the American Chemical Society Petroleum Research Fund (ACS-PRF Grant No. 49956-ND9) for financial support of this research. The authors are especially grateful to Dr. Murat Ocalan for assistance and many helpful discussions regarding the custom-built magnetorheometry fixture. Further acknowledgement is given to Ki Wan Bong, Dr. Matthew Helgeson, and Dr. Dong Hun Kim for help with SEM imaging, particle size characterization, and Magnetometer measurements, respectively.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rich, J.P., Doyle, P.S. & McKinley, G.H. Magnetorheology in an aging, yield stress matrix fluid. Rheol Acta 51, 579–593 (2012). https://doi.org/10.1007/s00397-012-0632-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00397-012-0632-z