### 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.

Original language | English (US) |
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Pages (from-to) | 305-311 |

Number of pages | 7 |

Journal | Journal of Phase Equilibria and Diffusion |

Volume | 29 |

Issue number | 4 |

DOIs | |

State | Published - Aug 2008 |

### Fingerprint

### Keywords

- Constitutive equation
- Magnetorheological fluid
- Particle pair

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Journal of Phase Equilibria and Diffusion*,

*29*(4), 305-311. https://doi.org/10.1007/s11669-008-9318-8

**A constitutive equation for magnetorheological fluid characterization.** / Ciocanel, Constantin; Lipscomb, Glenn; Naganathan, Nagi G.

Research output: Contribution to journal › Article

*Journal of Phase Equilibria and Diffusion*, vol. 29, no. 4, pp. 305-311. https://doi.org/10.1007/s11669-008-9318-8

}

TY - JOUR

T1 - A constitutive equation for magnetorheological fluid characterization

AU - Ciocanel, Constantin

AU - Lipscomb, Glenn

AU - Naganathan, Nagi G.

PY - 2008/8

Y1 - 2008/8

N2 - 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.

AB - 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.

KW - Constitutive equation

KW - Magnetorheological fluid

KW - Particle pair

UR - http://www.scopus.com/inward/record.url?scp=50549096533&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=50549096533&partnerID=8YFLogxK

U2 - 10.1007/s11669-008-9318-8

DO - 10.1007/s11669-008-9318-8

M3 - Article

VL - 29

SP - 305

EP - 311

JO - Journal of Phase Equilibria and Diffusion

JF - Journal of Phase Equilibria and Diffusion

SN - 1547-7037

IS - 4

ER -