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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Flow and mass transfer characteristics for interacting side-by-side cylinders.

Kamau Kingora1, Wes Lee Burks1, Hamid Sadat1

  • 1Department of Mechanical Engineering, University of North Texas, 3940 N. Elm St., Denton, Texas 76207, USA.

Physics of Fluids (Woodbury, N.Y. : 1994)
|February 14, 2022
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Summary

This study reveals four distinct flow regimes for side-by-side cylinders, impacting hydrodynamic forces and mass transfer. Cylinder arrangement significantly influences these characteristics, especially at low pitch-ratios.

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Area of Science:

  • Fluid Dynamics
  • Hydrodynamics
  • Mass Transfer

Background:

  • Understanding fluid flow around multiple bluff bodies is crucial in various engineering applications.
  • Interactions between cylinders significantly alter flow patterns compared to isolated bodies.

Purpose of the Study:

  • To investigate the flow structures and mass transfer of interacting side-by-side cylinders.
  • To identify distinct flow regimes and their impact on hydrodynamic forces and mass transfer coefficients.
  • To analyze the influence of cylinder arrangement (pitch-ratio) and configuration size.

Main Methods:

  • Numerical simulation of 2-5 cylinders in unbounded flow at Reynolds number 90.
  • Analysis of time-averaged and instantaneous flow features (wake, vortical structures, pressure, mass transfer).
  • Identification of flow regimes based on vortical structures and velocity fields.

Main Results:

  • Four flow regimes were identified: single bluff body, deflected wakes (asymmetric/symmetric), and isolated body behavior.
  • Hydrodynamic forces and mass transfer coefficients showed jumps between regimes.
  • Drag increased with depth in the configuration; lift forces were repulsive.
  • Mass transfer coefficients varied with cylinder position and pitch-ratio.

Conclusions:

  • Flow regime dictates hydrodynamic and mass transfer characteristics.
  • Cylinder configuration and size significantly influence flow behavior and scalar values, particularly at low pitch-ratios.
  • Exterior cylinders experience higher mass transfer at low pitch-ratios, while interior cylinders' drag increases with depth.