Mathematical modelling of magneto-hydrodynamic dampers with time-varying fluid properties

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Author list: Letelier MF, Siginer DA, Rouliez JP, Corral OF

Publisher: AMER SOC MECHANICAL ENGINEERS

Place: NEW YORK

Publication year: 2005

Journal acronym: FLUID ENG D

Volume number: 261

Start page: 913

End page: 918

Number of pages: 6

ISBN: 0-7918-4219-3

Languages: English-Great Britain (EN-GB)

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Abstract

The fluid dynamics of dampers is investigated for the case where the damping fluid flows through passages in which a magnetic field is applied.This is a specific case of a new and promising field of applications that has emerged through the design of devices that take advantage of some properties of the so-called electrorheological fluids and magnetorheological fluids (ERF and MRF). These fluids are created when a base fluid is seed with very small dielectric or iron particles, so that it reacts to electric or magnetic fields by developing some non-Newtonian characteristics, most prominently a yield stress, viscosity change, and also viscoelasticity. These fluid properties can be controlled through control of the electric or magnetic fields' strength.In this paper, a typical damping load is modeled and related to the required flow of a MRF inside the damper. To this end the fluid is modeled as a Bingham fluid with time-varying yield-stress. The analysis here developed makes it possible to determine the magnetic field variation necessary in order to achieve a specific displacement of the damper's piston.The flow equations are analytically solved for any time-history of the dimensionless fluid's yield-stress. Main results are some simplified relationships that correlate damping load and magnetic field time-variations. These results aim at providing analytical tools that may facilitate dampers' design.

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