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Related Concept Videos

Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
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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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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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Updated: Jul 3, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
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Shear-induced self-diffusion in a wall-bounded dilute suspension.

Evgeny S Asmolov1

  • 1Central Aero-Hydrodynamic Institute, Zhukovsky, Moscow Region, 140180, Russia. aes@an.aerocentr.msk.su

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 23, 2008
PubMed
Summary

Simulations show that particle migration in fluid flow is driven by collective hydrodynamic interactions. The self-diffusivity of particles scales linearly with their concentration, matching experimental findings.

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Area of Science:

  • Fluid Dynamics
  • Particle Physics
  • Computational Physics

Background:

  • Understanding particle migration in fluid suspensions is crucial for various industrial and scientific applications.
  • Previous studies have explored particle behavior, but the role of collective hydrodynamic interactions in non-Brownian systems requires further investigation.

Purpose of the Study:

  • To simulate and analyze the random migrations of non-Brownian, neutrally buoyant particles in a dilute suspension.
  • To investigate the contribution of far-field collective hydrodynamic interactions to particle diffusivity.
  • To examine the relationship between particle concentration and self-diffusivity in a periodic Couette cell flow.

Main Methods:

  • Utilized a dipole model for simulating particle migration in a periodic Couette cell.
  • Focused on dilute suspensions of non-Brownian, neutrally buoyant particles.
  • Analyzed diffusivity arising from far-field collective hydrodynamic interactions and large-scale concentration fluctuations.

Main Results:

  • Simulations revealed that large-scale concentration fluctuations induce fluid velocity disturbances.
  • The induced disturbances have a length scale comparable to the dimensions of the Couette cell.
  • The calculated self-diffusivity coefficient demonstrated a linear dependence on particle volume content.

Conclusions:

  • Collective hydrodynamic interactions are a significant factor driving particle diffusivity in this system.
  • The linear relationship between self-diffusivity and particle concentration provides a key predictive model.
  • The simulation results align well with existing experimental data, validating the dipole model approach.