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Article Dans Une Revue Progress In Electromagnetics Research B Année : 2009

Mechanical Properties of a ferrofluid seal: three-dimensional analytical study based on the coulombian model

Résumé

This paper presents a general method for studying the mechanical properties of a ferrofluid seal by using a three-dimensional analytical approach based on the coulombian model of a magnet. The fundamental Maxwell's equations lead us to define the concept of magnetic energy of the ferrofluid seal by using only the three-dimensional equations of the magnetic field created by ring permanent magnets radially magnetized. Our study corresponds to the specific case when the ferrofluid is submitted to a very high magnetic field. Under these conditions, the mechanical properties of the ferrofluid depend only on the magnetic field created by the permanent magnets. Throughout this paper, the remanence polarization J of the magnets used is higher than 1T. The magnetic field we use in order to align the magnetic particles is very intense, greater than $400$~kAm$^{-1}$. Consequently, the magnetic particles are assumed to be saturated and the magnetic field they create can be omitted. In this paper, a cylindrical structure consisting of two outer ring permanent magnets and an inner non-magnetic cylinder is considered. In addition, a ferrofluid seal is placed between them. The calculation of the magnetic pressure of the ferrofluid seal has been analytically established in three dimensions in order to determine its shape. Moreover, the geometrical evolution of the ferrofluid seal shape is presented when the inner non-magnetic cylinder crushes the ferrofluid seal. The radial stiffness of the ferrofluid seal is determined in three dimensions when the inner cylinder is decentered. Furthermore, a way of obtaining the ferrofluid seal static capacity is discussed. It must be emphasized here that the three-dimensional method presented in this paper differs from the ones commonly used in the literature because the only term we consider in the equation of equilibrium describing the state of the ferrofluid seal is determined accurately. Such a method has been used for the design of ironless loudspeakers that have demonstrated some promising acoustical tests.
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Dates et versions

hal-00412335 , version 1 (01-09-2009)

Identifiants

  • HAL Id : hal-00412335 , version 1

Citer

Romain Ravaud, Guy Lemarquand. Mechanical Properties of a ferrofluid seal: three-dimensional analytical study based on the coulombian model. Progress In Electromagnetics Research B, 2009, 13, pp.385-407. ⟨hal-00412335⟩
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