H. Rouah, Y. Joundy, A. Taik, “Controlling chaos in 3D porous media in the presence of orientation effect”, Zh. Vychisl. Mat. Mat. Fiz., 2023, Volume 63, Number 11,Page 1925

This article is cited in 2 papers

Mathematical physics

Controlling chaos in 3D porous media in the presence of orientation effect

H. Rouah^a, Y. Joundy^b, A. Taik^a

^a Department of Mathematics, FSTM, Laboratory of Mathematics and Applications, University Hassan II-Casablanca, PO Box 146, Mohammedia, Morocco
^b Polydisciplinary Faculty of Sidi Bennour, Chouaib Doukkali University, El Jadida, Morocco

Abstract: The influence of orientation on the control of chaotic behaviors of the system in a porous medium is studied in this article based on the theory of dynamical systems. A three-dimensional system model is obtained using the spectral method. The results showed that chaos can be suppressed in the case of a low or moderate Prandtl number by choosing appropriate tilt angles.

Key words: chaos, Fourier modes, stability analysis, bifurcation diagram, porous media.

UDC: 531.01

Received: 21.06.2023
Revised: 21.06.2023
Accepted: 25.07.2023

Language: English

DOI: 10.31857/S0044466923110261