Mahmud, M. N. and Siri, Z. and Velez, J. A. and Perez, L. M. and Laroze, D. (2020) Chaotic convection in an Oldroyd viscoelastic fluid in saturated porous medium with feedback control. Chaos, 30 (7). ISSN 10541500, DOI https://doi.org/10.1063/5.0002846.
Full text not available from this repository.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.
| Item Type: | Article |
|---|---|
| Funders: | BASAL/CONICYT [Grant No: AFB180001], Fondo Nacional de Desarrollo Científico y Tecnológico [Grant No: 1180905] |
| Uncontrolled Keywords: | Article; Feedback system; Thermodynamics; Viscoelasticity |
| Subjects: | Q Science > Q Science (General) T Technology > T Technology (General) |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 30 Oct 2024 07:26 |
| Last Modified: | 30 Oct 2024 07:26 |
| URI: | http://eprints.um.edu.my/id/eprint/36584 |
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