Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force
This article deals with the control of chaos on the convective motion in a ferrofluid filled in a rotating porous medium and under the helical force effect. We performed a truncated expansion of Galerkin and found the Lorenz-type model which described the system. The dynamical system is characterize...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/4155397 |
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| _version_ | 1832551704853217280 |
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| author | M.L. Hounvènou Vincent Adjimon Monwanou |
| author_facet | M.L. Hounvènou Vincent Adjimon Monwanou |
| author_sort | M.L. Hounvènou |
| collection | DOAJ |
| description | This article deals with the control of chaos on the convective motion in a ferrofluid filled in a rotating porous medium and under the helical force effect. We performed a truncated expansion of Galerkin and found the Lorenz-type model which described the system. The dynamical system is characterized using appropriate and subsequent criteria. We noticed that the system presents regular and chaotic behaviors according to the parameters at present. A considerable reduction of the chaotic domain is noticed with the increase of the intensity of the helical force and of the Darcy number, thus making it possible to delay the heat transfer in the system. The increase in the viscosity ratio and the Taylor number widen the chaotic domain leading to an acceleration of the heat transfer in the system. |
| format | Article |
| id | doaj-art-dd1b4dcf7c2b42b3a46db62a3b79ad4c |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-dd1b4dcf7c2b42b3a46db62a3b79ad4c2025-02-03T06:00:55ZengWileyComplexity1099-05262022-01-01202210.1155/2022/4155397Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical ForceM.L. Hounvènou0Vincent Adjimon Monwanou1Laboratoire de Mécaniques des FluidesLaboratoire de Mécaniques des FluidesThis article deals with the control of chaos on the convective motion in a ferrofluid filled in a rotating porous medium and under the helical force effect. We performed a truncated expansion of Galerkin and found the Lorenz-type model which described the system. The dynamical system is characterized using appropriate and subsequent criteria. We noticed that the system presents regular and chaotic behaviors according to the parameters at present. A considerable reduction of the chaotic domain is noticed with the increase of the intensity of the helical force and of the Darcy number, thus making it possible to delay the heat transfer in the system. The increase in the viscosity ratio and the Taylor number widen the chaotic domain leading to an acceleration of the heat transfer in the system.http://dx.doi.org/10.1155/2022/4155397 |
| spellingShingle | M.L. Hounvènou Vincent Adjimon Monwanou Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force Complexity |
| title | Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force |
| title_full | Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force |
| title_fullStr | Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force |
| title_full_unstemmed | Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force |
| title_short | Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force |
| title_sort | regular and chaotic behavior on the convection in a rotating ferrofluid in porous medium under helical force |
| url | http://dx.doi.org/10.1155/2022/4155397 |
| work_keys_str_mv | AT mlhounvenou regularandchaoticbehaviorontheconvectioninarotatingferrofluidinporousmediumunderhelicalforce AT vincentadjimonmonwanou regularandchaoticbehaviorontheconvectioninarotatingferrofluidinporousmediumunderhelicalforce |