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Related Concept Videos

Couette Flow01:22

Couette Flow

Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
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.
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...
Types of Fluids01:27

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...
Fluid Pressure over Flat Plate of Variable Width01:02

Fluid Pressure over Flat Plate of Variable Width

When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
Fluid Pressure over Flat Plate of Constant Width01:05

Fluid Pressure over Flat Plate of Constant Width

When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
The resultant force...

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Microfluidic Fabrication Techniques for High-Pressure Testing of Microscale Supercritical CO2 Foam Transport in Fractured Unconventional Reservoirs
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Flow in linearly sheared two-dimensional foams: From bubble to bulk scale.

Gijs Katgert1, Andrzej Latka, Matthias E Möbius

  • 1Kamerlingh Onnes Laboratory, Universiteit Leiden, Postbus 9504, 2300 RA Leiden, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 8, 2009
PubMed
Summary

Disordered 2D foams show complex flow behavior dependent on driving rate and disorder. A simple model explains these flows by considering bubble-bubble and bubble-plate drag forces, revealing disorder

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Area of Science:

  • Soft Matter Physics
  • Rheology
  • Foam Dynamics

Background:

  • Two-dimensional (2D) foams offer a simplified system to study complex fluid behavior.
  • Understanding foam flow is crucial for applications ranging from food science to materials engineering.
  • Disorder in foams significantly impacts their macroscopic properties and flow dynamics.

Purpose of the Study:

  • To investigate the flow behavior of 2D foams under varying conditions of driving rate, packing fraction, and disorder.
  • To adapt and validate a simple physical model for predicting foam flow profiles.
  • To elucidate the role of disorder in modifying the rheological properties of foams.

Main Methods:

  • Experimental probing of 2D foam flow using a monolayer of bubbles between liquid and glass.
  • Adaptation of a theoretical model balancing bubble-bubble and bubble-plate drag forces.
  • Independent rheological measurements to validate model assumptions for drag forces.

Main Results:

  • Disordered foams exhibit rate-dependent, shear-banded velocity profiles, unlike rate-independent ordered foams.
  • The adapted model successfully captures observed flow behaviors with modified exponents (β) for disordered systems.
  • Flow profiles become more shear-banded with increasing packing fraction (wetness), with a jamming density (φc ≈ 0.84).

Conclusions:

  • Disorder qualitatively alters effective bubble-bubble drag forces, influencing overall foam rheology.
  • The simple drag-force-based model provides a robust framework for understanding foam flow, even across different packing fractions.
  • Findings offer insights into the ubiquitous Herschel-Bulkley rheology observed in various disordered materials.