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Related Concept Videos

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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.
Irrotational Flow01:28

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Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the streamlines...
Turbulent Flow01:24

Turbulent Flow

Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent spots,...
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Couette Flow

Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...

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Related Experiment Video

Updated: May 26, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Published on: July 19, 2016

Development of colliding swirling counterflows.

Vladimir N Shtern1, Maria del Mar Torregrosa, Miguel A Herrada

  • 1Shtern Research and Consulting, Houston, Texas 77096, USA. vacshtern@sbcglobal.net

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
PubMed
Summary

This study reveals how colliding counterflows develop in a cylindrical container with increasing fluid flow rates (Reynolds number). The flow pattern shifts from circulation cells to a U-shaped throughflow, forming vortex breakdown and suction effects, beneficial for combustors.

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Area of Science:

  • Fluid Dynamics
  • Computational Physics

Background:

  • Understanding fluid behavior in confined geometries is crucial for engineering applications.
  • Swirling flows and their interaction are complex phenomena requiring detailed analysis.

Purpose of the Study:

  • To numerically investigate the development of colliding counterflows in an axisymmetric cylindrical container.
  • To analyze the impact of varying flow rates (Reynolds number) on fluid motion and flow patterns.

Main Methods:

  • Numerical simulation of viscous incompressible fluid flow.
  • Systematic variation of Reynolds number (Re) while maintaining a constant swirl number.

Main Results:

  • At low Re, throughflow is localized with distinct circulation cells.
  • As Re increases, circulation cells vanish, throughflow becomes U-shaped, and vortex breakdown occurs.
  • Swirl-induced low pressure leads to ambient fluid suction, which mixes and exits peripherally.

Conclusions:

  • The physical mechanism of colliding counterflows involves swirl decay and axial flow convergence.
  • The observed flow pattern is advantageous for vortex solid-fuel combustor design.