MATHEMATICAL MODELLING OF AN ELONGATED MAGNETIC DROPLET IN A ROTATING MAGNETIC FIELD-Reference-Cited by-同舟云学术

MATHEMATICAL MODELLING OF AN ELONGATED MAGNETIC DROPLET IN A ROTATING MAGNETIC FIELD

Published:2012-02-01 Issue:1 Volume:17 Page:47-57
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Cebers Andrejs¹,Kalis Harijs¹

Affiliation:

1. Faculty of Physics and Mathematics, University of Latvia Zellu iela 8, LV-1002 Riga, Latvia

Abstract

Dynamics of an elongated droplet under the action of a rotating magnetic field is considered by mathematical modelling. The actual shape of a droplet is obtained by solving the initial-boundary value problem of a nonlinear singularly perturbed partial differential equation (PDE). For the discretization in space the finite difference scheme (FDS) is applied. Time evolution of numerical solutions is obtained with MATLAB by solving a large system of ordinary differential equations (ODE).

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference12 articles.

1. Behavior of a magnetic fluid microdrop in a rotating magnetic field

2. Dynamics of an elongated magnetic droplet in a rotating field

3. NUMERICAL SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION

4. On some finite difference schemes for solution of hyperbolic heat conduction problems

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1. Dynamics of ferrofluid drop deformations under spatially uniform magnetic fields;Journal of Fluid Mechanics;2016-08-03

2. NUMERICAL SIMULATION OF MAGNETIC DROPLET DYNAMICS IN A ROTATING FIELD;Mathematical Modelling and Analysis;2013-02-01