Laroze, D. and Pleiner, H. (2015) Thermal convection in a nonlinear non-Newtonian magnetic fluid. Communications in Nonlinear Science and Numerical Simulation, 26(1-3), pp. 167-183. (doi: 10.1016/j.cnsns.2015.01.002)
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Abstract
We report theoretical and numerical results on thermal convection of a magnetic fluid in a viscoelastic carrier liquid. The viscoelastic properties are described by a general nonlinear viscoelastic model that contains as special cases the standard phenomenological constitutive equations for the stress tensor. In order to explore numerically the system we perform a truncated Galerkin expansion obtaining a generalized Lorenz system with ten modes. We find numerically that the system has stationary, periodic and chaotic regimes. We establish phase diagrams to identify the different dynamical regimes as a function of the Rayleigh number and the viscoelastic material parameters.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Laroze, Dr David |
| Authors: | Laroze, D., and Pleiner, H. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Communications in Nonlinear Science and Numerical Simulation |
| Publisher: | Elsevier B.V. |
| ISSN: | 1007-5704 |
| ISSN (Online): | 1007-5704 |
| Copyright Holders: | Copyright © 2015 Elsevier B.V. |
| First Published: | First published in Communications in Nonlinear Science and Numerical Simulation 26(1-3):167-183 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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