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<p>This study investigates the combined effects of electroosmotic flow (EOF), velocity slip, and induced magnetic field on steady and unsteady electromagnetohydrodynamic (EMHD) Jeffrey nanofluid flow between two vertical plates. Water with dispersed copper (Cu) nanoparticles is considered as the working fluid. The governing nonlinear partial differential equations for velocity, temperature, concentration, and induced magnetic field are solved using the finite difference method (FDM) for the transient case and the method of undetermined coefficients for the steady case. Results show that nanofluid velocity increases with Grashof numbers and permeability, while magnetic fields reduce velocity but enhance induced magnetic fields near the lower wall. Slip conditions increase velocity away from the wall, and higher Prandtl numbers enhance heat transfer. These findings provide insights relevant to microfluidic devices, biomedical drug delivery, and electronic cooling applications.</p>

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Interplay of steady/unsteady Jeffrey EMHD nanofluid flow formation in a vertical channel with induced magnetic field

  • 期刊论文

  • 发表日期：

    2025年9月22日

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  • Michael O. Oni,
  • Usman S Rilwan

摘要

This study investigates the combined effects of electroosmotic flow (EOF), velocity slip, and induced magnetic field on steady and unsteady electromagnetohydrodynamic (EMHD) Jeffrey nanofluid flow between two vertical plates. Water with dispersed copper (Cu) nanoparticles is considered as the working fluid. The governing nonlinear partial differential equations for velocity, temperature, concentration, and induced magnetic field are solved using the finite difference method (FDM) for the transient case and the method of undetermined coefficients for the steady case. Results show that nanofluid velocity increases with Grashof numbers and permeability, while magnetic fields reduce velocity but enhance induced magnetic fields near the lower wall. Slip conditions increase velocity away from the wall, and higher Prandtl numbers enhance heat transfer. These findings provide insights relevant to microfluidic devices, biomedical drug delivery, and electronic cooling applications.