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Related Concept Videos

Viscosity01:17

Viscosity

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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...
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Viscosity01:27

Viscosity

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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...
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Viscosity of Fluid01:19

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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.
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Stokes' Law01:20

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Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
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Newtonian Fluid: Problem Solving01:18

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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.
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Collisions in Multiple Dimensions: Introduction01:05

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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...
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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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Bulk viscosity of multiparticle collision dynamics fluids.

Mario Theers1, Roland G Winkler1

  • 1Theoretical Soft Matter and Biophysics, Institute for Advanced Simulation and Institute of Complex Systems, Forschungszentrum Jülich, D-52425 Jülich, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 15, 2015
PubMed
Summary
This summary is machine-generated.

We determined viscosity parameters for multiparticle collision dynamics (MPC), a fluid simulation method. Our findings reveal nonzero bulk viscosity in all MPC versions, solely dependent on collisional interactions.

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Area of Science:

  • Fluid dynamics
  • Computational physics
  • Mesoscale simulations

Background:

  • Multiparticle collision dynamics (MPC) is a particle-based mesoscale method for simulating fluid hydrodynamics.
  • Understanding the transport properties, such as viscosity, is crucial for accurate fluid simulations.
  • Previous studies may not have fully characterized the bulk viscosity of various MPC implementations.

Purpose of the Study:

  • To determine the viscosity parameters, specifically bulk viscosity, of the multiparticle collision dynamics (MPC) approach.
  • To analyze different variants of MPC, including stochastic rotation dynamics and Andersen thermostat, with and without angular momentum conservation.
  • To provide analytical calculations and simulation-based verification of the viscosity parameters.

Main Methods:

  • Analytical calculations were performed to derive viscosity parameters.
  • Mesoscale hydrodynamic simulations using the MPC approach were conducted for verification.
  • The study considered MPC with stochastic rotation dynamics and Andersen thermostat.
  • Both simulations with and without angular momentum conservation were analyzed.

Main Results:

  • A nonzero bulk viscosity was found for every considered version of the MPC approach.
  • The explicit calculations demonstrated that bulk viscosity is solely determined by MPC's collisional interactions.
  • The study provides a detailed characterization of viscosity parameters within MPC.

Conclusions:

  • The multiparticle collision dynamics (MPC) approach inherently possesses a nonzero bulk viscosity.
  • Collisional interactions are the sole determinants of bulk viscosity in MPC.
  • These findings are essential for refining MPC methods for accurate hydrodynamic simulations.