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The Modified Heat Flux Modeling in Nanoparticles (Fe 3 O 4 and Aggregation Nanoparticle) Based Fluid between Two Rotating Disks

Author

Listed:
  • Hussan Zeb

    (Department of Mathematics & Statistics, Hazara University, Mansehra 21120, Pakistan)

  • Hafiz Abdul Wahab

    (Department of Mathematics & Statistics, Hazara University, Mansehra 21120, Pakistan)

  • Umar Khan

    (Department of Mathematics & Statistics, Hazara University, Mansehra 21120, Pakistan)

  • Mohamed Ehab

    (Engineering Mathematics and Physics Department, Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt)

  • Muhammad Yousaf Malik

    (Department of Mathematics, College of Sciences, King Khalid University Abha, Abha 61413, Saudi Arabia)

Abstract

In this article, Cattaneo Christov heat transfer analysis in nanofluid (Ferro Fe 3 O 4 and Aggregation) flow between two parallel rotating disks with different velocities determined. The relaxation time, velocity slip, heat convective boundary condition, and heat generation are also presented. The governing partial differential equation (PDEs) model is converted into a set of nonlinear ordinary differential equations (ODEs) system by similarity variables. The solution is computed of the resulting ODEs system by using the Runge Kutta (Rk) method. Here a decline is noticed in the tangential velocity for nanoparticles (Fe 3 O 4 and Aggregation nanoparticle) for higher values of the porosity parameter ( λ 1 ), slip parameter γ 1 , magnetic parameter ( M ) and Reynolds number ( R e r ), while tangential velocity arises for higher values of rotation parameters (ß 1 ). This reduces the temperature field for nanoparticles by higher values of Eckert number (Ec), Prandtl number (Pr), Reynolds number ( R e r ), porosity parameter (λ 1 ), while increases for arising the values of thermal relaxation parameter λ 2 , and for both Biot numbers ( B 1 , B 2 ) nanoparticles (Fe 3 O 4 and Aggregation nanoparticle). Further we compute the characteristics of physical quantities, namely skin friction and Nusselt number are presented.

Suggested Citation

  • Hussan Zeb & Hafiz Abdul Wahab & Umar Khan & Mohamed Ehab & Muhammad Yousaf Malik, 2022. "The Modified Heat Flux Modeling in Nanoparticles (Fe 3 O 4 and Aggregation Nanoparticle) Based Fluid between Two Rotating Disks," Energies, MDPI, vol. 15(11), pages 1-19, June.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:11:p:4088-:d:830162
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    References listed on IDEAS

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    1. Saif, Rai Sajjad & Muhammad, Taseer & Sadia, Haleema & Ellahi, Rahmat, 2020. "Boundary layer flow due to a nonlinear stretching curved surface with convective boundary condition and homogeneous-heterogeneous reactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
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