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Related Concept Videos

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...
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.
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Navier–Stokes Equations01:28

Navier–Stokes Equations

For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
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,...
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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Related Experiment Video

Updated: Jun 14, 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

Nonlinear defects separating spiral waves in Taylor-Couette flow.

Ch Hoffmann1, M Heise, S Altmeyer

  • 1Institut für Theoretische Physik, Universität des Saarlandes, Saarbrücken, Germany. chhof@lusi.uni-sb.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 7, 2010
PubMed
Summary

Stable defects between spiral waves in Taylor-Couette flow are essential for pattern formation. Nonlinear mode coupling maintains these phase-generating or annihilating defects, confirmed numerically and experimentally.

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Last Updated: Jun 14, 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

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Area of Science:

  • Fluid dynamics
  • Pattern formation
  • Nonlinear dynamics

Background:

  • Taylor-Couette flow exhibits complex spatiotemporal patterns.
  • Spiral waves are common in pattern-forming systems.
  • Defects can arise at the boundaries between different wave domains.

Purpose of the Study:

  • Investigate the stability and properties of domain walls (defects) between spiral waves in Taylor-Couette flow.
  • Understand the role of nonlinearities in defect stability.
  • Examine the impact of external flows on spiral domains and defects.

Main Methods:

  • Numerical simulations of the hydrodynamic system.
  • Experimental investigations using Taylor-Couette flow.
  • Analysis of nonlinear mode coupling and phase differences.

Main Results:

  • Stable domain walls (defects) were identified between oppositely traveling spiral waves.
  • Nonlinear mode coupling is crucial for defect stability.
  • Defects act as phase generators or annihilators, with characteristic phase differences of 0 or pi.
  • External flows were shown to influence spiral domains and defects.

Conclusions:

  • Nonlinear mode coupling is fundamental for stable defect formation in this system.
  • The identified defects play a key role in pattern organization.
  • Numerical and experimental findings show excellent agreement, validating the study's results.