Related Experiment Video
Updated: Aug 2, 2026

10:09
Fast Imaging Technique to Study Drop Impact Dynamics of Non-Newtonian Fluids
Published on: March 5, 2014
Onset of fluidization in vertically shaken granular material
1ICA 1, Universitat Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Germany and Institut fur Physik, Humboldt-Universitat zu Berlin, Invalidenstrasse 110, D-10115 Berlin, Germany.
Summary
Granular materials shaken vertically exhibit complex behaviors. This study finds no single Froude number threshold for these effects, proposing a modified criterion instead.
Area of Science:
- Physics of granular materials
- Nonlinear dynamics
- Fluid mechanics
Background:
- Vertical shaking of granular materials induces phenomena like convection and fluidization.
- A debated topic concerns a critical Froude number threshold for these effects.
Purpose of the Study:
- To investigate the existence of a single threshold Froude number for granular convection and related phenomena.
- To resolve the controversy regarding the critical Froude number in vertically shaken granular systems.
Main Methods:
- Theoretical analysis of granular dynamics.
- Computer simulations of vertically driven granular materials.
Main Results:
- The study demonstrates that a single, universal threshold Froude number does not govern the observed effects.
- A modified criterion is proposed, which aligns with the critical Froude number of 1 at low driving frequencies.
Conclusions:
- The observed phenomena in shaken granular materials are not determined by a single critical Froude number.
- A new criterion offers a more accurate prediction, especially for systems driven at lower frequencies.
More Related Videos
Related Concept Videos
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...
Viscosity
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...
The SI unit of viscosity is...
Accelerating Fluids
When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
The Colloidal State
The formation of a colloidal system is exemplified by an aqueous solution containing Cl− ions is introduced to another containing Ag+ ions, resulting in the precipitation of solid AgCl as extremely tiny crystals. Instead of settling out as a filterable precipitate, these crystals remain suspended in the liquid, showcasing a colloidal system.A colloidal system involves colloidal particles within the approximate range of 1 to 1000 nm in at least one dimension, dispersed in a medium called the...
Fluid Movement Between Compartments
The force applied by fluids against a surface, known as hydrostatic pressure, initiates the transfer of fluid among different compartments. Within our blood vessels, the blood's hydrostatic pressure is a result of the heart's pumping action. At the arteriolar end of capillaries, hydrostatic pressure (capillary blood pressure) exceeds the opposing colloid osmotic pressure created primarily by plasma proteins like albumin. This discrepancy in pressure propels plasma and nutrients from the...
Types of Fluids
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 their...
In contrast, non-Newtonian fluids do not follow Newton's law of viscosity, and their...

