Modelling of a free-surface ferrofluid flow

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10370330" target="_blank" >RIV/00216208:11320/17:10370330 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.jmmm.2016.10.045" target="_blank" >http://dx.doi.org/10.1016/j.jmmm.2016.10.045</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmmm.2016.10.045" target="_blank" >10.1016/j.jmmm.2016.10.045</a>

Result language

angličtina

Original language name

Modelling of a free-surface ferrofluid flow

Original language description

The Cauchy&apos;s stress tensor of a ferrofluid exposed to an external magnetic field is subject to additional magnetic terms. For a linearly magnetizable medium, the terms result in interfacial magnetic force acting on the ferrofluid boundaries. This force changes the characteristics of many free-surface ferrofluid phenomena. The aim of this work is to implement this force into the incompressible Navier-Stokes equations and propose a numerical method to solve them. The interface of ferrofluid is tracked with the use of the characteristic level-set method and additional reinitialization step assures conservation of its volume. Incompressible Navier-Stokes equations are formulated for a divergence-free velocity fields while discrete interfacial forces are treated with continuous surface force model. Velocity-pressure coupling is implemented via the projection method. To predict the magnetic force effect quantitatively, Maxwell&apos;s equations for magnetostatics are solved in each time step. Finite element method is utilized for the spatial discretization. At the end of the work, equilibrium droplet shape are compared to known experimental results.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Magnetism and Magnetic Materials

ISSN

0304-8853

e-ISSN

—

Volume of the periodical

431

Issue of the periodical within the volume

Neuveden

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

4

Pages from-to

157-160

UT code for WoS article

000399598600040

EID of the result in the Scopus database

2-s2.0-85005817968