Idris, R., Siri, Z. and Hashim, I. (2013) On a Five-Dimensional Chaotic System Arising from Double-Diffusive Convection in a Fluid Layer. Abstract and Applied Analysis, 2013, Article ID: 428327.
https://doi.org/10.1155/2013/428327

has been cited by the following article:

• TITLE: Chaotic Convection in a Rotating Porous Channel Filled with (Magnetite-Copper)/Water Hybrid Nanofluid

  AUTHORS: Zinsou Rogatien Alligbe, Amoussou Laurent Hinvi, Mustapha Balewa Sanni, Alain Nicaise Comlan Adomou

  KEYWORDS: Magnetite-Copper, Nanoliquid, Double-Diffuse Convection, Bifurcation

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.16 No.2, May 18, 2026

  ABSTRACT: The technological challenge lies in developing new processes that allow for more efficient heat transfer management in industrial operations. It is with this in mind that the present work focuses on the thermoconvection of a (magnetite-copper)/water saturating a rotating porous channel. To this end, we used the Darcy-Bénard convection model to model the equations of motion, the Fourier law for the heat transfer and concentration equations. The minimum-order double Fourier series method is used to transform it into a system of six nonlinear equations. The regular and chaotic motion of the nonlinear system is studied using the Runge-Kutta algorithm. The effects of various dimensionless parameters and the physicochemical properties of nanoparticles on the dynamic system are analyzed using bifurcation diagrams, Lyapunov diagrams, phase spaces and time evolution. Numerical results obtained confirm that the system can shift between regular and chaotic behavior, or vice versa, alternating with period-splitting phenomena.