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Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force

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  • M.L. Hounvènou
  • Vincent Adjimon Monwanou

Abstract

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.

Suggested Citation

  • M.L. Hounvènou & Vincent Adjimon Monwanou, 2022. "Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:4155397
    DOI: 10.1155/2022/4155397
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    References listed on IDEAS

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    1. B. S. Bhadauria, 2016. "Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source," Journal of Applied Mathematics, Hindawi, vol. 2016, pages 1-18, March.
    2. Sheu, Long-Jye, 2006. "An autonomous system for chaotic convection in a porous medium using a thermal non-equilibrium model," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 672-689.
    3. B. S. Bhadauria, 2016. "Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source," Journal of Applied Mathematics, John Wiley & Sons, vol. 2016(1).
    4. Sheu, Long-Jye & Tam, Lap-Mou & Chen, Juhn-Horng & Chen, Hsien-Keng & Lin, Kuang-Tai & Kang, Yuan, 2008. "Chaotic convection of viscoelastic fluids in porous media," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 113-124.
    5. Tai-Ping Chang, 2017. "Chaotic Motion in Forced Duffing System Subject to Linear and Nonlinear Damping," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-8, January.
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