Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6924381 | Computers & Structures | 2016 | 20 Pages |
Abstract
We extend our existing hp-finite element framework for non-conducting magnetic fluids (Jin et al., 2014) to the treatment of conducting magnetic fluids including magnetostriction effects in both two- and three-dimensions. In particular, we present, to the best of our knowledge, the first computational treatment of magnetostrictive effects in conducting fluids. We propose a consistent linearisation of the coupled system of non-linear equations and solve the resulting discretised equations by means of the Newton-Raphson algorithm. Our treatment allows the simulation of complex flow problems, with non-homogeneous permeability and conductivity, and, apart from benchmarking against established analytical solutions for problems with homogeneous material parameters, we present a series of simulations of multiphase flows in two- and three-dimensions to show the predicative capability of the approach as well as the importance of including these effects.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
D. Jin, P.D. Ledger, A.J. Gil,