A Constitutive Equation for Magnetorheological Fluid Characterization
Source abstract
Abstract
A microstructural model of the motion of particle pairs in MR fluids is proposed that accounts for both hydrodynamic and magnetic field forces. A fluid constitutive equation is derived, from the model that allows the prediction of velocity and particle structure fields. The analysis is similar to that of bead-spring models of polymeric liquids with replacement of the elastic connector force by a magnetic force. Results for simple shear flow are presented for the case when the two particles remain in close contact so they are hydrodynamically equivalent to an ellipsoid with an aspect ratio of two and only the component of the magnetic force normal to the connecting vector between the centers of the two particles affects motion. The model predicts oscillatory motion of the particle pairs at low magnetic fields. The fluid reaches a steady state at high magnetic fields. The time required to reach the steady state for a given shear rate reduces significantly as the field increases.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Vibration Control and Rheological Fluids · Characterization and Applications of Magnetic Nanoparticles · Rheology and Fluid Dynamics Studies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (23)
Show source-provided references
1. Gulley G.L., Tao R. (2001) Structures of a Magnetorheological Fluid. Int. J. Mod. Phys. B 15(6-7):851-85810.1142/S0217979201005362 ↗
2. Rosensweig R.E. (1995) On Magnetorheology and Electrorheology as States of Unsymmetric Stress. J. Rheol. 39(1):179-19210.1122/1.550699 ↗
3. J.D. Carlson, D.M. Catanzarite, and K.A. St. Claire, Commercial Magneto-Rheological Fluid Devices, Proc. of the 5th Int. Conf. on ER, MR Suspensions and Associated Technology, W.A. Bullough, Ed., World Scientific, Singapore, 1996, p 20-2810.1142/S0217979296001306 ↗
4. G. Yang, “Large-Scale Magnetorheological Fluid Damper for Vibration Mitigation: Modeling, Testing and Control,” Ph.D. Thesis, University of Notre Dame, 2001
5. J.D. Carlson, “Magnetorheological Brake with Integrated Flywheel.” US Patent Number 6,186,290B1, 2001
6. B. Kavlicoglu, F. Gordaninejad, C.A. Evrensel, N. Cobanoglu, M. Xin, C. Heine, A. Fuchs, and G. Korol, A High-Torque Magneto-Rheological Fluid Clutch, In: Proceedings of SPIE Conference on Smart Materials and Structures, 200210.1117/12.472674 ↗
7. S. Cutillas, G. Bossis, E. Lemaire, A. Meunier, and A. Cebers, Experimental and Theoretical Study of the Field Induced Phase Separation in Electro- and Magnetorheological Suspensions, Proceeding of the 6th Int. Conf. on ER, MR Suspensions and Their Applications, M. Nakano and K. Koyama, Ed., World Scientific, Singapore, 1998, p 149-155
8. F.E. Filisko and S. Henley, Parameters Affecting Lamellar Formations in ER Fluids: An Alternative Model for ER Activity, Proceeding of the 7th International Conference on Electrorheological (ER) Fluids and Magneto-Rheological (MR) Suspensions, R. Tao, Ed., World Scientific, Singapore, 2000, p 143-15110.1142/9789812793607_0017 ↗
9. M. Gross, S. Kiskamp, H. Eisele, Y. Zhu, and J. Liu, On the Interaction of Dipolar Chains, Proceeding of the 6th International Conference on ER Fluids, MR Suspensions and Their Applications, M. Nakano and K. Koyama, Ed., World Scientific, Singapore, 1998, p 519-527
10. O. Volkova, G. Bossis, P. Carletto, and A. Cebers, Shear Banded Structures and Nematic to Isotropic Transition in MR Fluids, Proceeding of the 7th International Conference on Electrorheological (ER) Fluids and Magneto-Rheological (MR) Suspensions, R. Tao, Ed., World Scientific, Singapore, 2000, p 358-36510.1142/9789812793607_0042 ↗
11. K. von Pfeil, M.D. Graham, D.J. Klingenberg, and J.F. Morris, A Two-Fluid Model for Electro- and Magnetorheological Suspensions, Proceedings of the 8th International Conference on ER Fluids and MR Suspensions, G. Bossis, Ed., World Scientific, Singapore, 2001, p 759-76510.1142/9789812777546_0113 ↗
12. S. Bechtel, G. Washington, F. Ahmadkhanlou, and Y. Wang, Microstructural Analysis and Control of Magneto-Rheological Fluid, Proceedings of IMECE04, Vol. 2, 200410.1115/IMECE2004-61693 ↗
13. Klingenberg D.J., van Swol F., Zukoski C.F. (1991) The Small Shear Rate Response of Electrorheological Suspensions. II. Expansion Beyond the Point-Dipole Limit. J. Chem. Phys. 94(9):6170-617810.1063/1.460403 ↗
14. Hass K.C. (1993) Computer Simulations of Nonequilibrium Structure Formation in Electrorheological Fluids. Phys. Rev. E 47(3):3362-337310.1103/PhysRevE.47.3362 ↗
15. Mohebi M., Jamasbi N., Liu J. (1996) Simulation of the Formation of Nonequilibrium Structures in Magnetorheological Fluids Subject to an External Magnetic Field. Phys. Rev. E 54(5):5407-541310.1103/PhysRevE.54.5407 ↗
16. O. Volkova, G. Bossis, and E. Lemeire, Magnetorheology of Model Suspensions, Proceeding of the 6th Int. Conference on Electrorheological (ER) Fluids, Magneto-Rheological (MR) Suspensions and Their Applications, M. Nakano and K. Koyama, Ed., World Scientific, Singapore, 1998, p 528-53410.1007/978-3-642-51062-5_59 ↗
17. Ly H.V., Reitich F., Jolly M.R., Banks H.T., Ito K. (1999) Simulations of Particle Dynamics in Magnetorheological Fluids. J. Comput. Phys. 155:160-17710.1006/jcph.1999.6335 ↗
18. Sim H.G., Ahn K.H., Lee S.G. (2003) Three-Dimensional Dynamics Simulation of Electrorheological Fluids Under Large Amplitude Oscillatory Shear Flow. J. Rheol. 47(4):879-89510.1122/1.1582854 ↗
19. Climent E., Maxey M.R., Karniadakis G.E. (2004) Dynamic of Self-Assembled Chaining in Magnetorheological Fluids. Langmuir 20(2):507-51310.1021/la035540z ↗
20. Bird R.B., Curtiss F.C., Armstrong R.C., Hassager O. (1987) Dynamics of Polymeric Liquids, Vol. 1 and 2, 2nd Edition, John Wiley & Sons, New York
21. G.G. Lipscomb II, “Analysis of Suspension Rheology in Complex Flows”. Ph.D. Dissertation, University of California, Berkeley, 1986
22. Larson R.G. (1999) The Structure and Rheology of Complex Fluids. Oxford University Press, New York
23. Lipscomb II G.G., Denn M.M., Hur D.U., Boger D.V. (1988) The Flow of Fiber Suspensions in Complex Geometries. J. Non-Newtonian Fluid Mech. 26:297-32510.1016/0377-0257(88)80023-5 ↗