Chaotic convection in an Oldroyd viscoelastic fluid in saturated porous medium with feedback control
Document Type
Article
Publication Date
7-1-2020
Abstract
The control effects on the convection dynamics in a viscoelastic fluid-saturated porous medium heated from below and cooled from above are studied. A truncated Galerkin expansion was applied to balance equations to obtain a four-dimensional generalized Lorenz system. The dynamical behavior is mainly characterized by the Lyapunov exponents, bifurcation, and isospike diagrams. The results show that within a range of moderate and high Rayleigh numbers, proportional controller gain is found to enhance the stabilization and destabilization effects on the thermal convection. Furthermore, due to the effect of viscoelasticity, the system exhibits remarkable topological structures of regular regions embedded in chaotic domains.
Keywords
Article, Feedback system, Thermodynamics, Viscoelasticity
Divisions
MathematicalSciences
Funders
BASAL/CONICYT [Grant No: AFB180001],Fondo Nacional de Desarrollo Científico y Tecnológico [Grant No: 1180905]
Publication Title
Chaos
Volume
30
Issue
7
Publisher
Amer Inst Physics
Publisher Location
1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA