Related Experiment Video
Updated: May 18, 2026

07:33
Quantifying Mixing using Magnetic Resonance Imaging
Published on: January 25, 2012
Lamination and mixing in three fundamental flow sequences driven by electromagnetic body forces
1Department of Aeronautics, Imperial College London, London, United Kingdom.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Engineered striations, or lamination, enhance material mixing. Novel "cat
Area of Science:
- Fluid dynamics
- Microfluidics
- Mixing technology
Background:
- Lamination, the degree of striations, is crucial for material mixing.
- Designing efficient sequential mixers requires understanding lamination and stretching.
- Electromagnetic body forces offer a method to control flow geometry for mixing.
Purpose of the Study:
- To engineer lamination for enhanced stretching and design new sequential mixers.
- To experimentally investigate three new mixing sequences driven by electromagnetic forces.
- To analyze the impact of dynamic Lorentz forces on flow geometry and mixing.
Main Methods:
- Generated three mixing sequences: "tendril and whorl," "blinking vortex," and novel "cat's eyes flip."
- Utilized dynamically controlled Lorentz body forces to vary flow geometry via local jets.
- Quantified mixing efficiency using a mixing coefficient based on variance.
Main Results:
- All three sequences showed exponential stretching and lamination of material interfaces.
- Mixing coefficient and rate grew exponentially before reaching a saturation point.
- The "cat's eyes flip" sequence exhibited superior lamination, stretching, and mixing rates compared to the others for the same energy input.
Conclusions:
- Dynamically controlling local jets and integrating lamination can create bakerlike in situ mixers.
- The "cat's eyes flip" sequence demonstrates a highly effective method for sequential mixing.
- This research provides insights for developing novel sequential mixers across various scales.
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...
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.
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,...
Introduction to Types of Flows
Fluid flows are categorized by dimensionality and behavior, with one-dimensional flow being the simplest form, where properties like velocity and pressure change only along a single axis. Water moving through straight pipes exemplifies this flow type, as variations in other directions are minimal. One-dimensional analysis helps simplify understanding such flows, focusing solely on changes along the pipe's length.
Two-dimensional flow involves changes in both length and height, as seen in air...
Two-dimensional flow involves changes in both length and height, as seen in air...
Laminar Flow
Laminar flow represents a smooth, orderly fluid motion where particles move along parallel paths, resulting in minimal mixing between layers. Streamlined particle paths characterize this flow regime and occur under conditions where viscous forces dominate over inertial forces. The distinction between laminar, transitional, and turbulent flow is primarily determined by the Reynolds number, a dimensionless quantity calculated as:
Divergence and Curl
The divergence of a vector field at a point is the net outward flow of the flux out of a small volume through a closed surface enclosing the volume, as the volume tends to zero. More practically, divergence measures how much a vector field spreads out or diverges from a given point. For an outgoing flux, conventionally, the divergence is positive. The diverging point is often called the "source" of the field. Meanwhile, the negative divergence of a vector field at a point means that the vector...

