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Interaction of Two Rigid Spheres Oscillating in an Infinite Liquid under the Control of a Magnetic Field

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  • Shreen El-Sapa
  • Wedad Albalawi
  • Oluwole D. Makinde

Abstract

The transient creeping motion of two rigid spheres oscillating in a boundless viscous fluid beneath the impact of the magnetic field is investigated. There is no slippage associated with a Stokes flow on the two rigid spherical surfaces with different sizes and radii. The solutions can be obtained using the boundary collocation scheme at low Reynolds numbers. The unsteady real and imaginary drag coefficients are estimated on the hard spherical particles. These coefficients are computed in tables for various parameters and illustrated graphically. The frequency parameter and Hartmann number also play a significant role in this study where the drag coefficients decrease or increase by 100 percent after the value of κ=5.0. Using available literature data, we tested the accuracy and reliability of our results.

Suggested Citation

  • Shreen El-Sapa & Wedad Albalawi & Oluwole D. Makinde, 2023. "Interaction of Two Rigid Spheres Oscillating in an Infinite Liquid under the Control of a Magnetic Field," Journal of Applied Mathematics, Hindawi, vol. 2023, pages 1-13, May.
    • Handle: RePEc:hin:jnljam:1146872
    DOI: 10.1155/2023/1146872
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    Cited by:

    1. Yubin Lin & Qinhui Wang & Guilin Xie & Mengxiang Fang & Zhongyang Luo, 2024. "Numerical Simulation Study on the Gas–Solid Flow Characteristics of a Large-Scale Dual Fluidized Bed Reactor: Verification and Extension," Energies, MDPI, vol. 17(6), pages 1-29, March.

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