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Related Concept Videos

Typical Model Studies01:30

Typical Model Studies

Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
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Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

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Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

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Updated: May 12, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Published on: December 4, 2017

A predictive, size-dependent continuum model for dense granular flows.

David L Henann1, Ken Kamrin

  • 1Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

Proceedings of the National Academy of Sciences of the United States of America
|March 29, 2013
PubMed
Summary
This summary is machine-generated.

Scientists developed a new 3D model for dense granular flows. This model uses grain-size-dependent nonlocal rheology to accurately predict complex granular material behavior in various applications.

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Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

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Last Updated: May 12, 2026

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Published on: September 29, 2019

Area of Science:

  • Physics
  • Materials Science
  • Engineering

Background:

  • Dense granular materials exhibit complex flow behaviors distinct from simple fluids.
  • Existing models fail to capture or predict these complexities, hindering industrial and geophysical applications.

Purpose of the Study:

  • To propose a novel 3D constitutive model for dense granular flows.
  • To accurately predict the behavior of granular materials in various geometries.

Main Methods:

  • Developed a grain-size-dependent nonlocal rheology model.
  • Incorporated principles from soft glassy rheology.
  • Utilized a single material parameter to capture size-dependence.

Main Results:

  • The model quantitatively describes dense granular flows across diverse geometries.
  • Successfully predicts complex flow patterns in split-bottom cells, a long-standing challenge.
  • Demonstrates a simple-to-implement and highly predictive form.

Conclusions:

  • The proposed model offers a significant advancement in understanding and predicting dense granular flow.
  • Provides a valuable tool for industrial and geophysical applications requiring accurate granular material simulation.