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Fluid flow through packings of rotating obstacles.

Rafael S Oliveira1,2, José S Andrade3, Roberto F S Andrade1

  • 1Instituto de Física, Universidade Federal da Bahia, 40210-210 Salvador, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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This study simulates fluid flow in a channel with rotating, custom-sized obstacles. Rotating disks can alter flow resistance and exhibit stable, oscillatory angular velocities, impacting porous medium behavior.

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Area of Science:

  • Fluid Dynamics
  • Porous Media Physics
  • Computational Physics

Background:

  • Understanding fluid flow through porous media is crucial for various scientific and engineering applications.
  • The behavior of rotating obstacles within a fluid channel, especially in complex geometries like Apollonian packings, remains less explored.

Purpose of the Study:

  • To numerically investigate nonstationary Newtonian fluid flow through a 2D channel with rotating circular obstacles.
  • To compare the hydraulic resistance and flow patterns of rotating versus fixed obstacles.
  • To analyze the validity of Darcy's law and characterize disk angular velocity.

Main Methods:

  • Numerical simulations of nonstationary fluid flow.
  • Modeling porous media using Apollonian packing (AP) geometry with reduced disk radii (0.6≤s≤0.8).
  • Analysis of hydraulic resistance, Reynolds number, reduction factor, and AP generation effects.

Main Results:

  • Hydraulic resistance with rotating disks can be higher or lower than static disks, depending on various factors.
  • Flow redistribution within interdisk channels is significantly influenced by disk rotation.
  • Stable oscillatory angular velocity behavior emerges in most disks after the second AP generation.

Conclusions:

  • The rotation of obstacles introduces complex dynamics to fluid flow in porous media.
  • Darcy's law validity and nonlinear hydraulic resistance are sensitive to obstacle rotation and packing geometry.
  • The oscillatory behavior of disk angular velocity is a key emergent phenomenon in these systems.