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Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation

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  • Ali, Bagh
  • Shafiq, Anum
  • Manan, Abdul
  • Wakif, Abderrahim
  • Hussain, Sajjad

Abstract

Enhanced thermal transportation for bio convection and mixed convection of Casson nano fluid flow in stagnation region of rotating sphere is scrutinized in the existence of magnetic field. The bioconvection of nano fluid transportation across spherical surface is considered important for heat storage and thermal balancing in technological processes. To enhanced heat transportation, the gyrotactic microorganisms are used with nano sized particles to improve stability. In this communication, time dependent partial differential formulation is transmuted to a set of dimensionless partial differential equation via similarity transformation. A numerical solution is sought through Galerkin based finite element discretization while it is coded and run on Matlab platform. The role of variables for the dependent quantities is monitored through computational procedure. The parameters of rotating sphere and Casson fluid speeded up the fluid flow in x-direction, but it recedes the flow in y-direction. The larger inputs of Brownian motion and thermophoresis parameters raised the nano fluid temperature. The absolute value of Nusselt number is up-surged with enhanced buoyancy and rotation but diminishes against parameters of Brownian motion, bio convection, and Rayleigh number.

Suggested Citation

  • Ali, Bagh & Shafiq, Anum & Manan, Abdul & Wakif, Abderrahim & Hussain, Sajjad, 2022. "Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 254-268.
    • Handle: RePEc:eee:matcom:v:194:y:2022:i:c:p:254-268
    DOI: 10.1016/j.matcom.2021.11.019
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    References listed on IDEAS

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    1. Ali, Bagh & Hussain, Sajjad & Shafique, Mohammad & Habib, Danial & Rasool, Ghulam, 2021. "Analyzing the interaction of hybrid base liquid C2H6O2–H2O with hybrid nano-material Ag–MoS2 for unsteady rotational flow referred to an elongated surface using modified Buongiorno’s model: FEM simula," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 57-74.
    2. Muhammad Adil Sadiq, 2014. "Boundary Layer Flow due to the Vibration of a Sphere," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-14, July.
    3. Mahdi, Raed Abed & Mohammed, H.A. & Munisamy, K.M. & Saeid, N.H., 2015. "Review of convection heat transfer and fluid flow in porous media with nanofluid," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 715-734.
    4. Kashif Sadiq & Fahd Jarad & Imran Siddique & Bagh Ali & Ali Akgül, 2021. "Soret and Radiation Effects on Mixture of Ethylene Glycol-Water (50%-50%) Based Maxwell Nanofluid Flow in an Upright Channel," Complexity, Hindawi, vol. 2021, pages 1-12, May.
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    Cited by:

    1. Bilal Ahmad & Muhammad Ozair Ahmad & Liaqat Ali & Bagh Ali & Ahmed Kadhim Hussein & Nehad Ali Shah & Jae Dong Chung, 2022. "Significance of the Coriolis Force on the Dynamics of Carreau–Yasuda Rotating Nanofluid Subject to Darcy–Forchheimer and Gyrotactic Microorganisms," Mathematics, MDPI, vol. 10(16), pages 1-15, August.
    2. Meznah M. Alanazi & Awatif Ahmed Hendi & N. Ameer Ahammad & Bagh Ali & Sonia Majeed & Nehad Ali Shah, 2023. "Significance of Ternary Hybrid Nanoparticles on the Dynamics of Nanofluids over a Stretched Surface Subject to Gravity Modulation," Mathematics, MDPI, vol. 11(4), pages 1-16, February.

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