Simulation Of Ferrofluids By BEM
Author(s)
J. Ravnik & L. Skerget
Abstract
In this paper the Boundary elementmethod (BEM) was applied to simulate viscous
flow of ferrofluids under the influence of a homogenous external magnetic field.
We present a derivation of the boundary integral form of the vorticity transport
equation, which includes magnetic body force terms. Furthermore, discretization
and numerical solution of the coupled flow and heat transfer problems are
presented.
The derived numerical model has been used to study the effect of a homogenous
external magnetic field on the natural convection of ferrofluids in a differentially
heated enclosure. We established that the effects are negligible for magnetic
Rayleigh numbers less or equal to the flow Rayleigh number. On the other hand,
the magnetic body force changes the flow field significantly and contributes to the
instability of the flow.
Keywords: boundary element method, velocity-vorticity formulation, ferrofluid,
natural convection, magnetic field.
1 Introduction
A ferrofluid is a colloidal suspension of magnetic nanoparticles. The flow field
of these fluids can be significantly altered by the application of magnetic fields.
They can be used to develop microscale heat exchangers in MEMS devices. Since
in miniature devices the flow is limited to low Reynolds numbers the heat is
transferred mainly by diffusion, the magnetic field can be used to manipulate and
enhance convection.
Recently many researches have studied ferrofluids under the influence of the
magnetic field (Hong et al. [4], Lajvardi et al. [5], Tynj¨al¨a et al. [13]) for a wide
variety of applications. In this work we derive a boundary-domain integral form of
the vorticity transport equation for a ferrofluid and present its numerical solution.
Keywords
boundary element method, velocity-vorticity formulation, ferrofluid,
natural convection, magnetic field.
Related Book
Other papers in this volume
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