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Related Concept Videos

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...
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...
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...
Boundary Layer Characteristics01:18

Boundary Layer Characteristics

When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
Diffusion01:12

Diffusion

Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
Diffusion01:21

Diffusion

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

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Diffusive behavior of a thin particle layer in fluid by hydrodynamic interaction.

Shusaku Harada1, Ryoko Otomo

  • 1Division of Field Engineering for Environment, Graduate School of Engineering, Hokkaido University, Sapporo, Japan. harada@eng.hokudai.ac.jp

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

Particle layer movement is driven by hydrodynamic forces, not Brownian motion. The internal arrangement of particles significantly impacts layer spreading, contrasting with typical diffusion patterns.

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Area of Science:

  • Fluid dynamics
  • Particle physics
  • Rheology

Background:

  • Investigating hydrodynamic effects on thin particle layers under external forces.
  • Anisotropic particle arrangement due to layer ends causes position-dependent drag forces.
  • Relative particle motion leads to layer spreading, a phenomenon distinct from Brownian diffusion.

Purpose of the Study:

  • To theoretically and numerically investigate the diffusive behavior of particle layers with various internal arrangements.
  • To understand how non-Brownian particle motion, driven solely by hydrodynamic force variance, influences layer spreading.
  • To compare the diffusive behavior of non-Brownian particle layers with gradient diffusion of Brownian particles.

Main Methods:

  • Theoretical and numerical investigation of hydrodynamic effects.
  • Application of Stokesian dynamics approach to calculate hydrodynamic forces on individual particles.
  • Analysis of particle layer spreading based on internal arrangement and hydrodynamic interactions.

Main Results:

  • The internal arrangement of particles critically influences their relative motion.
  • The overall diffusive motion of a particle layer is arrangement-dependent, even at similar particle concentrations.
  • Hydrodynamic forces, rather than Brownian motion, are the primary drivers of relative particle movement in this system.

Conclusions:

  • The study highlights the significant role of particle arrangement in non-Brownian layer spreading.
  • Hydrodynamic interactions provide an alternative mechanism for particle diffusion in confined systems.
  • Findings offer insights into particle transport phenomena where Brownian motion is negligible.