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Related Concept Videos

Irrotational Flow01:28

Irrotational Flow

Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
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.
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
Rotational Motion about a Fixed Axis01:26

Rotational Motion about a Fixed Axis

A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or revolutions, where one...
Turbulent Flow01:24

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,...

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Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Gyrotaxis in a steady vortical flow.

William M Durham1, Eric Climent, Roman Stocker

  • 1Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|July 21, 2011
PubMed
Summary
This summary is machine-generated.

Gyrotactic microorganisms form dense clusters in steady vortical flows. Two key numbers control this behavior, potentially enabling efficient species separation based on motility.

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Area of Science:

  • Fluid dynamics
  • Microbiology
  • Biophysics

Background:

  • Microbial motility is crucial for nutrient acquisition and predator avoidance.
  • Vortical flows are common in natural aquatic environments.
  • Understanding microorganism behavior in flows is key to ecological and biotechnological applications.

Purpose of the Study:

  • To investigate the aggregation dynamics of gyrotactic microorganisms in steady vortical flows.
  • To identify the key dimensionless parameters governing microorganism-flow interactions.
  • To explore the potential for flow-mediated species separation.

Main Methods:

  • Numerical simulations of microorganism trajectories in a defined vortical flow field.
  • Analysis of the influence of two dimensionless numbers: relative swimming speed and vorticity stability.
  • Systematic exploration of parameter space to identify different aggregation regimes.

Main Results:

  • Gyrotactic motility in vortical flow leads to tightly clustered aggregations.
  • Two dimensionless numbers dictate the coupling between microorganism motility and flow dynamics.
  • A variety of patchiness regimes were observed across the explored parameter space.
  • Aggregation formation occurs rapidly, within a few overturning time scales.

Conclusions:

  • Steady vortical flows can efficiently induce dense microbial aggregations.
  • The identified dimensionless parameters are critical for predicting aggregation behavior.
  • Vortical flows offer a promising mechanism for separating microbial species with distinct motility traits.