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Related Concept Videos

Shearing Strain01:20

Shearing Strain

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The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between...
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Problem Solving on Stress and Strain01:22

Problem Solving on Stress and Strain

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Stress is a quantity that describes the magnitude of a force that causes deformation, generally defined as internal force per unit area. When forces pull on an object and cause its elongation, like the stretching of an elastic band, it is called tensile stress. When forces cause the compression of an object, it is known as compressive stress. When an object is being squeezed uniformly from all sides, like a submarine in the depths of the ocean, we call this kind of stress bulk stress (or volume...
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Types of Fluids01:27

Types of Fluids

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Fluids can be classified into Newtonian and non-Newtonian fluids based on their response to shear stress. Newtonian fluids have a linear relationship between shear stress and the shear strain rate, following Newton's law of viscosity. Their viscosity remains constant regardless of the shear rate, making their behavior predictable and easier to analyze. Common examples include water, air, oil, and gasoline.
In contrast, non-Newtonian fluids do not follow Newton's law of viscosity, and...
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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.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
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Rheological Regimes in Agitated Granular Media under Shear.

Olfa D'Angelo1,2,3, Matthias Sperl3,4, W Till Kranz3,4

  • 1Université de Toulouse, Institut Supérieur de l'Aéronautique et de l'Espace (ISAE-SUPAERO), Toulouse, France.

Physical Review Letters
|April 25, 2025
PubMed
Summary
This summary is machine-generated.

Agitated granular media exhibit complex flow behaviors. This study unifies these behaviors using two dimensionless numbers, Péclet number (Pe) and shear-to-fluidization power ratio (Π), into a single theoretical framework.

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Area of Science:

  • Physics
  • Rheology
  • Granular Mechanics

Background:

  • Granular media exhibit complex rheology, including Newtonian, yield stress, and shear thickening behaviors.
  • Existing theoretical frameworks struggle to encompass the diverse flow regimes of agitated granular materials.
  • Understanding granular rheology is crucial for various scientific and industrial applications.

Purpose of the Study:

  • To develop a unified theoretical framework for agitated granular media.
  • To identify key dimensionless parameters governing granular rheology.
  • To propose a constitutive relation capturing all observed flow behaviors.

Main Methods:

  • Experimental measurement of air-fluidized glass particle rheology across five orders of magnitude in shear rate.
  • Comparison of fluidization-induced agitation with Brownian motion.
  • Analysis of rheological data using dimensionless numbers.

Main Results:

  • All rheological regimes of agitated granular media can be delineated by the Péclet number (Pe) and the shear-to-fluidization power ratio (Π).
  • A novel constitutive relation is proposed that quantitatively and qualitatively captures all flow behaviors.
  • The framework successfully unifies Newtonian, yield stress, and shear thickening regimes.

Conclusions:

  • A unified framework based on Pe and Π effectively describes the rheology of agitated granular media.
  • The proposed constitutive relation offers a comprehensive model for granular flow.
  • This work advances the theoretical understanding of complex granular material behavior.