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Related Concept Videos

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...
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If we...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
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Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a problem,...
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...

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Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
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Fluid-solid boundary conditions for multiparticle collision dynamics.

Jonathan K Whitmer1, Erik Luijten

  • 1Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 11, 2011
PubMed
Summary
This summary is machine-generated.

This study explores boundary conditions for simulating colloidal particles. Bounce-back conditions are recommended for accurate fluid-solid interactions in multiparticle collision dynamics simulations.

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Area of Science:

  • Computational physics
  • Soft matter physics
  • Fluid dynamics

Background:

  • Accurate simulation of colloidal particles requires precise modeling of colloid-solvent interactions.
  • Existing multiparticle collision dynamics (MPCD) methods face challenges in representing boundary conditions faithfully.

Purpose of the Study:

  • To evaluate different stick boundary condition proposals in MPCD simulations.
  • To investigate their performance in both stationary and moving boundary scenarios.
  • To compare collision rules for mitigating spurious slip and their impact on colloid thermal motion.

Main Methods:

  • Utilizing the multiparticle collision dynamics (MPCD) method.
  • Simulating plane Poiseuille flow with stationary boundaries.
  • Performing particle-based colloid simulations with mobile, thermally affected boundaries.
  • Comparing various collision rules and stochastic reflection methods.

Main Results:

  • Stochastic reflection at solid boundaries inaccurately represents stick conditions.
  • Bounce-back conditions are effective for both stationary and mobile surfaces.
  • Specific collision rules successfully minimize spurious slip near surfaces.
  • The thermal motion of colloidal particles is influenced by boundary condition choices.

Conclusions:

  • Bounce-back boundary conditions are essential for accurate MPCD simulations of colloids.
  • MPCD simulations can be extended to implement partial slip boundary conditions.
  • The findings provide guidelines for improving the fidelity of colloidal simulations.