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Related Concept Videos

Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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...
Shearing Stress01:18

Shearing Stress

Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
Viscosity of Fluid01:19

Viscosity of Fluid

Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
Shearing Strain01:20

Shearing Strain

The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...

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Related Experiment Video

Updated: May 29, 2026

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
10:28

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids

Published on: January 3, 2014

Alignment of particles in sheared viscoelastic fluids.

I S Santos de Oliveira1, A van den Noort, J T Padding

  • 1Computational Biophysics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands. i.s.santosdeoliveira@utwente.nl

The Journal of Chemical Physics
|September 22, 2011
PubMed
Summary

Computer simulations reveal how colloidal particles behave in non-Newtonian fluids under shear. Particles form strings in micellar solutions but remain dispersed in polymer solutions, matching experimental findings.

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Area of Science:

  • Colloid and interface science
  • Rheology
  • Computational physics

Background:

  • Non-Newtonian fluids exhibit complex flow behavior due to their microstructure.
  • Understanding shear-induced effects on dispersed particles is crucial for material science.
  • Viscoelastic fluids like polymer and micellar solutions show unique entanglement dynamics.

Purpose of the Study:

  • To investigate shear-induced structure formation of colloidal particles in viscoelastic fluids.
  • To compare particle behavior in semi-dilute polymer solutions versus worm-like micellar solutions.
  • To validate simulation methods against experimental rheological data.

Main Methods:

  • Utilized responsive particle dynamics (RPD) simulations for large-scale, three-dimensional modeling.
  • Modeled fluid chains as soft Brownian particles with evolving inter-particle degrees of freedom.
  • Simulated systems with up to 96 spherical colloids under shear flow.

Main Results:

  • Homogeneous mixing of colloids in quiescent fluids.
  • Colloids aligned into strings along the flow direction in micellar solutions under shear.
  • Colloids remained randomly distributed in polymer solutions under shear.
  • Simulated rheological properties (moduli, viscosities) agreed with experimental values.

Conclusions:

  • Simulation results align with recent experimental observations of colloid behavior in these fluids.
  • Distinct shear-induced structural differences were observed between polymer and micellar solutions.
  • The RPD method effectively captures complex fluid-particle interactions and emergent structures.