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Related Concept Videos

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,...
Poiseuille's Law and Reynolds Number01:10

Poiseuille's Law and Reynolds Number

Any fluid in a horizontal tube can flow due to pressure differences—fluid flows from high to low pressure. The flow rate (Q) is the ratio of pressure difference and resistance through a horizontal tube. The greater the pressure difference, the higher the flow rate. The flow resistance is expressed as:
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...
Viscosity01:27

Viscosity

Viscosity is a property of fluids that measures their resistance to flow. It is influenced by factors such as the surface area of contact, the gradient of flow speed, and the fluid's viscosity constant, called the coefficient of viscosity. The coefficient of viscosity, also known as dynamic viscosity, is denoted by the symbol η. It determines the proportionality between the viscous force and the gradient of flow speed.Newton's law of viscosity states that the viscous force on a faster-moving...
Viscosity01:17

Viscosity

When water is poured into a glass, it falls freely and quickly, whereas if honey or maple syrup is poured over a pancake, it flows slowly and sticks to the surface of the container. This difference in the flow of different kinds of liquids arises due to the fluid friction between the liquid layers and the liquid and the surrounding material. This property of fluids is called fluid viscosity. In this example, water has a lower viscosity than honey and maple syrup.
The SI unit of viscosity is...
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:

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Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
09:37

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

Vibrations of cylindrical objects obstructing a Poiseuille-type flow.

Renjie Jiang1, Jianzhong Lin, Zhongli Chen

  • 1The State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 17, 2013
PubMed
Summary

Poiseuille flow-induced vibrations (PFIV) were studied, revealing distinct vibration regimes and cooperative cylinder vibrations. A critical blockage ratio dictates phase transitions between in-phase and anti-phase synchronized vibrations.

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Area of Science:

  • Fluid Dynamics
  • Computational Physics

Background:

  • Poiseuille flow-induced vibrations (PFIV) are a complex phenomenon observed in fluid dynamics.
  • Understanding cylinder vibrations in confined flows is crucial for various engineering applications.

Purpose of the Study:

  • To numerically investigate the dynamics of Poiseuille flow-induced vibrations (PFIV) using the lattice Boltzmann equation.
  • To explore vibration regimes and cooperative behaviors of cylinders in confined flows.

Main Methods:

  • Numerical simulation using the lattice Boltzmann equation.
  • Analysis of flow past a cylinder and two side-by-side cylinders at moderate Reynolds numbers.
  • Investigation of lift coefficient distribution and blockage ratio effects.

Main Results:

  • Observed distinct vibration regimes: symmetrical periodic, deflective quasiperiodic, and deflective periodic vibrations.
  • Identified two cooperative vibration modes for side-by-side cylinders: in-phase-synchronized vibration (IPSV) and anti-phase-synchronized vibration (APSV).
  • Determined a critical blockage ratio for phase transitions between IPSV and APSV.

Conclusions:

  • PFIV exhibits diverse dynamic behaviors influenced by blockage ratio and cylinder configuration.
  • PFIV represents a novel form of vortex-induced vibration with potential applications in fluid mixing.
  • Cooperative cylinder vibrations demonstrate synchronized behaviors governed by flow conditions.