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Finite Element Study of MHD Impacts on the Rotating Flow of Casson Nanofluid with the Double Diffusion Cattaneo—Christov Heat Flux Model

Author

Listed:
  • Bagh Ali

    (Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, 127 West Youyi Road, Xi’an 710072, China
    Co-first author, these authors contributed equally to this work.)

  • Rizwan Ali Naqvi

    (Department of Intelligent Mechatronics, Sejong University, Seoul 100083, Korea
    Co-first author, these authors contributed equally to this work.)

  • Amir Haider

    (Department of Intelligent Mechatronics, Sejong University, Seoul 100083, Korea)

  • Dildar Hussain

    (School of Computational Sciences, Korea Institute for Advanced Study (KIAS), 85 Hoegiro Dongdaemun-gu, Seoul 02455, Korea)

  • Sajjad Hussain

    (School of Aerospace and Mechanical Engineering, Nanyang Technological University, Singapore 639798, Singapore)

Abstract

A study for MHD (magnetohydrodynamic) impacts on the rotating flow of Casson nanofluids is considered. The concentration and temperature distributions are related along with the double diffusion Cattaneo–Christov model, thermophoresis, and Brownian motion. The governing equations in the 3D form are changed into dimensionless two-dimensional form with the implementation of suitable scaling transformations. The variational finite element procedure is harnessed and coded in Matlab script to obtain the numerical solution of the coupled nonlinear partial differential problem. The variation patterns of Sherwood number, Nusselt number, skin friction coefficients, velocities, concentration, and temperature functions are computed to reveal the physical nature of this examination. It is seen that higher contributions of the magnetic force, Casson fluid, and rotational fluid parameters cause to raise the temperature like thermophoresis and Brownian motion does but causes slowing the primary as well as secondary velocities. The FEM solutions showing an excellent correlation with published results. The current study has significant applications in the biomedical, modern technologies of aerospace systems, and relevance to energy systems.

Suggested Citation

  • Bagh Ali & Rizwan Ali Naqvi & Amir Haider & Dildar Hussain & Sajjad Hussain, 2020. "Finite Element Study of MHD Impacts on the Rotating Flow of Casson Nanofluid with the Double Diffusion Cattaneo—Christov Heat Flux Model," Mathematics, MDPI, vol. 8(9), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1555-:d:411513
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    References listed on IDEAS

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    1. Wubshet Ibrahim & Gosa Gadisa, 2019. "Finite Element Method Solution of Boundary Layer Flow of Powell-Eyring Nanofluid over a Nonlinear Stretching Surface," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-16, July.
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    Cited by:

    1. Mădălina Sofia Paşca & Olivia Bundău & Adina Juratoni & Bogdan Căruntu, 2022. "The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model," Mathematics, MDPI, vol. 10(4), pages 1-14, February.

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