Thermal convection in a nonlinear non-Newtonian magnetic fluid

被引：19

作者：

Laroze, D. ^{[1
,2
,3
]}

Pleiner, H. ^{[2
]}

机构：

[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile

[2] Max Planck Inst Polymer Res, D-55021 Mainz, Germany

[3] Univ Glasgow, SUPA Sch Phys & Astron, Glasgow G12 8QQ, Lanark, Scotland

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 26卷 / 1-3期

基金：

英国工程与自然科学研究理事会;

关键词：

Thermal convection; Magnetic fluid; Viscoelastic fluid; THERMOMAGNETIC CONVECTION; STATIONARY CONVECTION; AMPLITUDE EQUATION; HEAT-TRANSFER; DYNAMICS; FIELD; BIODISTRIBUTION; OVERSTABILITY; FERROFLUIDS; INSTABILITY;

D O I：

10.1016/j.cnsns.2015.01.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：167 / 183

页数：17

共 69 条

[1] Characterization of chaotic thermal convection of viscoelastic fluids [J].