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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.
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,...
Couette Flow01:22

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...
Irrotational Flow01:28

Irrotational Flow

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:
Gradually Varying Flow01:29

Gradually Varying Flow

Gradually varying flow (GVF) in open channels describes situations where water depth changes slowly along the channel due to factors like non-uniform bed slope, channel shape variations, or obstructions. This flow type occurs when the depth adjusts gradually to balance gravitational forces, shear forces, and energy requirements, resulting in a low rate of depth change.Characteristics of Gradually Varying FlowGVF is commonly observed in natural streams, rivers, and canals, where flow depth...
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...

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Related Experiment Video

Updated: May 31, 2026

Preparation of Free-Surface Hyperbolic Water Vortices
04:35

Preparation of Free-Surface Hyperbolic Water Vortices

Published on: July 28, 2023

Development of a swirling double counterflow.

Vladimir N Shtern1, María M Torregrosa, Miguel A Herrada

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 7, 2011
PubMed
Summary

A swirling inflow in a cylindrical container creates U-shaped throughflows (TFs). Higher flow rates can lead to a double counterflow, beneficial for combustion.

Area of Science:

  • Fluid dynamics
  • Computational physics

Background:

  • Understanding fluid behavior in confined spaces is crucial for various engineering applications.
  • Cylindrical containers with swirling inflows are common in industrial processes.

Purpose of the Study:

  • To numerically investigate the fluid dynamics of a viscous incompressible fluid in an elongated cylindrical container.
  • To analyze the development of meridional circulation and U-shaped throughflows (TFs) under varying conditions.
  • To explore the transition from single to double counterflow and its underlying mechanisms.

Main Methods:

  • Numerical simulation of axisymmetric fluid motion.
  • Analysis of fluid flow patterns at different Reynolds (Re) numbers.
  • Examination of vortex breakdown and its impact on flow structure.

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Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
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Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

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Last Updated: May 31, 2026

Preparation of Free-Surface Hyperbolic Water Vortices
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Preparation of Free-Surface Hyperbolic Water Vortices

Published on: July 28, 2023

Automated Counterflow Centrifugal System for Small-Scale Cell Processing
04:49

Automated Counterflow Centrifugal System for Small-Scale Cell Processing

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Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
12:26

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

Main Results:

  • A single U-shaped TF is observed at moderate Re, with fluid moving from the periphery to the axis and exiting centrally.
  • Increased Re leads to vortex breakdown and, with a wide exhaust, the formation of a double counterflow.
  • The double counterflow involves fluid moving towards the dead end along both the sidewall and axis, returning in an intermediate region.

Conclusions:

  • The double counterflow is driven by swirl decay and flow convergence near the dead end.
  • This complex flow pattern has potential benefits for combustion applications.
  • The study elucidates the transition of flow regimes in a confined swirling system.