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Related Concept Videos

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...
Rapidly Varying Flow01:24

Rapidly Varying Flow

Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
Gradually Varying Flow01:29

Gradually Varying Flow

Gradually varying flow (GVF) in open channels describes situations where water depth changes slowly along the channel due to factors like non-uniform bed slope, channel shape variations, or obstructions. This flow type occurs when the depth adjusts gradually to balance gravitational forces, shear forces, and energy requirements, resulting in a low rate of depth change.Characteristics of Gradually Varying FlowGVF is commonly observed in natural streams, rivers, and canals, where flow depth...
Turbulent Flow01:24

Turbulent Flow

Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent spots,...
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

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.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Steady, Laminar Flow Between Parallel Plates01:17

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.

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Updated: Jun 28, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Velocity fluctuations in dense granular flows.

John J Drozd1, Colin Denniston

  • 1Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B8.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2008
PubMed
Summary
This summary is machine-generated.

Simulations reveal three distinct velocity distributions in dry granular flow, dependent on grain density and state (free-fall, fluid, glassy). These findings offer insights into granular dynamics and phase transitions.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Materials Science

Background:

  • Granular flow dynamics are complex and influenced by particle interactions.
  • Understanding velocity distributions is key to characterizing granular materials.

Purpose of the Study:

  • To investigate velocity fluctuations in dry granular flow using simulations.
  • To identify different classes of velocity distributions and their governing factors.

Main Methods:

  • Simulated mono- and polydisperse spherical grains falling in a vertical chute.
  • Analysis of velocity distributions based on local density and grain state.

Main Results:

  • Identified three distinct classes of velocity distributions: free-fall, fluid, and glassy states.
  • Observed power-law tails in transition areas, potentially artifacts of distribution class crossover.
  • Found evidence linking transitions to second-order dynamical phase transitions.

Conclusions:

  • The study characterizes granular flow velocity distributions across different states within a single system.
  • Findings suggest power-law tails may arise from crossovers between distribution classes.
  • Transitions between granular flow states may represent second-order dynamical phase transitions.