Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Suppression of chaos in porous media convection under multifrequency gravitational modulation is investigated in this paper.
For this purpose, a two-dimensional rectangular fluid-saturated porous layer heated from below subjected to a vertical gravitational modulation will be considered.
The model consists of nonlinear heat equation coupled with a system of equations describing the motion under Darcy law.
The time-dependent gravitational modulation is assumed to be with two frequencies σ1 and σ2.
A spectral method of solution is used in order to reduce the problem to a system of four ordinary differential equations.
The system is solved numerically by using the fifth- and a sixth-order Runge-Kutta-Verner method.
Oscillating and chaotic convection regimes are observed.
It was shown that chaos can be suppressed by appropriate tuning of the frequencies’ ratio η=σ2/σ1.
American Psychological Association (APA)
Allali, Karam. 2018. Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119082
Modern Language Association (MLA)
Allali, Karam. Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation. Advances in Mathematical Physics No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1119082
American Medical Association (AMA)
Allali, Karam. Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119082
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119082