Open AccessON ONSET OF CHAOTIC CONVECTION IN COUPLE-STRESS FLUIDS
Author(s) -
J. M. Jawdat,
Ishak Hashim,
B. S. Bhadauria,
Shaher Momani
Publication year - 2014
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2014.925005
Subject(s) - chaotic , convection , nonlinear system , galerkin method , mathematics , mechanics , lorenz system , stress (linguistics) , field (mathematics) , classical mechanics , physics , computer science , pure mathematics , quantum mechanics , artificial intelligence , linguistics , philosophy
The effect of couple-stress fluid field on chaotic convection in a fluid layer heated from below was studied in this paper based on the theory of dynamical systems. A low-dimensional, Lorenz-like model was obtained using Galerkin truncated approximations. The fourth-order Runge–Kutta method was employed to solve the nonlinear system. The results show that inhibition of chaotic convection depends strongly on the couple-stress parameter.