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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...
Newtonian Fluid: Problem Solving01:18

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Thin-Walled Hollow Shafts01:15

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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
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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.
Navier–Stokes Equations01:28

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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...

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The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

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Published on: May 1, 2018

Interaction of two particles in a shear flow.

Marina Popova1, Peter Vorobieff, Marc S Ingber

  • 1Department of Mechanical Engineering, The University of New Mexico, Albuquerque, New Mexico 87131, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary

This study examines how particle surface roughness affects interactions in stratified shear flow. Subtle surface differences influence the irreversibility of particle behavior in fluid dynamics.

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Area of Science:

  • Fluid dynamics
  • Materials science
  • Particle physics

Background:

  • Understanding particle interactions in fluid flows is crucial for various industrial and natural processes.
  • Stratified shear flows present complex dynamics due to density gradients and velocity profiles.
  • Particle surface characteristics significantly influence their behavior and interaction within a flow environment.

Purpose of the Study:

  • To investigate the interaction dynamics of nearly spherical solid particles within a stratified shear flow.
  • To correlate the degree of irreversibility in particle interactions with specific surface features.
  • To elucidate the role of surface topography in particle-fluid interactions.

Main Methods:

  • Experimental setup utilizing a Couette cell for controlled stratified shear flow.
  • Detailed characterization of particle surfaces using scanning electron microscopy (SEM) to generate roughness maps.
  • Quantitative measurement of flow irreversibility resulting from particle-pair interactions.

Main Results:

  • Identified a relationship between particle surface roughness and the irreversibility of their interactions.
  • Demonstrated that subtle variations in surface topography can lead to measurable changes in flow dynamics.
  • Quantified the impact of surface features on particle behavior in stratified shear flow.

Conclusions:

  • Particle surface features are critical determinants of interaction irreversibility in stratified shear flows.
  • The study provides a foundation for predicting and controlling particle behavior based on surface properties.
  • This research offers insights into micro-scale particle dynamics relevant to fields like sediment transport and microfluidics.