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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...
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Steady, Laminar Flow Between Parallel Plates

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.
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
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General Characteristics of Pipe Flow II01:24

General Characteristics of Pipe Flow II

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Couette Flow

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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Effective boundary conditions for dense granular flows.

Riccardo Artoni1, Andrea Santomaso, Paolo Canu

  • 1Dipartimento di Principi e Impianti di Ingegneria Chimica I. Sorgato, Università di Padova, Via Marzolo 9, 35100 Padova, Italy. riccardo.artoni@unipd.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 28, 2009
PubMed
Summary

Researchers developed a new boundary condition for dense granular flow, considering force network heterogeneity. This condition bridges no-slip and Coulomb friction, offering insights into granular material dynamics.

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Published on: September 29, 2019

Area of Science:

  • Physics
  • Engineering
  • Materials Science

Background:

  • Dense granular flow is crucial in various industrial processes.
  • Understanding granular flow dynamics at interfaces is essential for process optimization.
  • Existing models often simplify the complex interactions at boundaries.

Purpose of the Study:

  • To derive an effective boundary condition for dense granular flow.
  • To incorporate the effect of force network heterogeneity on friction.
  • To bridge the gap between no-slip and Coulomb friction models.

Main Methods:

  • Derivation of an effective boundary condition.
  • Numerical simulations to analyze wall stress, velocity, and velocity variance.
  • Comparison with existing models, including the Navier slip condition.

Main Results:

  • An intermediate boundary condition was established between no slip and Coulomb friction.
  • Two simple functions relating wall stress, velocity, and velocity variance were identified.
  • The effective boundary condition was shown to correspond to the Navier slip condition under specific assumptions.

Conclusions:

  • The derived boundary condition provides a more nuanced description of dense granular flow at interfaces.
  • Force network heterogeneity significantly influences sliding friction dynamics.
  • The slip length in the effective boundary condition is related to particle diameter, offering a scale-dependent understanding.