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Related Concept Videos

Elastic Collisions: Introduction01:00

Elastic Collisions: Introduction

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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
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Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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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.
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Impact01:30

Impact

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Impact occurs when two bodies collide, leading to the application of impulsive forces between them. Analyzing impact mechanics involves considering two colliding particles moving along a line known as the line of impact, which passes through their centers and is perpendicular to the contact plane.
When particles with different initial velocities collide, they induce deformation by applying equal and opposite impulses. At the point of maximum deformation, the particles move together with...
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Euler's Equations of Motion01:28

Euler's Equations of Motion

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In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains uniform across...
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Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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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...
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Elastic Collisions: Case Study01:15

Elastic Collisions: Case Study

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Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
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Updated: Mar 18, 2026

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
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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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Hydrodynamic interaction between particles near elastic interfaces.

Abdallah Daddi-Moussa-Ider1, Stephan Gekle1

  • 1Biofluid Simulation and Modeling, Fachbereich Physik, Universität Bayreuth, Universitätsstraße 30, Bayreuth 95440, Germany.

The Journal of Chemical Physics
|July 11, 2016
PubMed
Summary
This summary is machine-generated.

We calculated hydrodynamic interactions between particles near elastic membranes. Unlike hard walls, membranes with shear resistance can cause particle attraction, potentially aiding surface reactions and leading to superdiffusion.

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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Area of Science:

  • Physics
  • Biophysics
  • Soft Matter Physics

Background:

  • Understanding particle dynamics near interfaces is crucial for cell biology and materials science.
  • Elastic interfaces, like cell membranes, exhibit complex behaviors distinct from rigid boundaries.

Purpose of the Study:

  • To analytically calculate hydrodynamic interactions between two spherical particles near an elastic interface.
  • To predict frequency-dependent mobilities and diffusion coefficients, considering finite particle size effects.

Main Methods:

  • Analytical calculation of hydrodynamic interactions.
  • Frequency-dependent self- and pair-mobilities up to 5th order.
  • Boundary integral simulations for validation.

Main Results:

  • Particle motion near bending-resistant membranes causes repulsion, similar to hard walls.
  • Shear-resistant membranes induce attraction in specific ranges, unlike hard walls.
  • Superdiffusive behavior observed due to enhanced perpendicular pair-mobility at certain frequencies.

Conclusions:

  • Elasticity significantly alters particle interactions near interfaces.
  • Observed attraction may facilitate surface chemical reactions.
  • Analytical predictions are validated by numerical simulations.