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Related Concept Videos

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,...
The Thermodynamics of Mixing01:28

The Thermodynamics of Mixing

Mixing is a fascinating phenomenon in thermodynamics, particularly when considering the Gibbs energy of a mixture at constant temperature and pressure. This energy, denoted as G, tends to decrease during spontaneous mixing processes, offering insights into the composition changes that occur.Imagine two ideal gases, initially separated in different containers, with amounts nA and nB, respectively, both at a temperature T and pressure p. The chemical potentials of these gases have their 'pure'...
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The conversion of allylic alcohols into epoxides using the chiral catalyst was discovered by K. Barry Sharpless and is known as Sharpless epoxidation. The use of a chiral catalyst enables the formation of one enantiomer of the product in excess. This chiral catalyst is mainly a chiral complex of titanium tetraisopropoxide and tartrate ester (specific stereoisomer). The stereoisomer used in the chiral catalyst dictates the formation of the enantiomer of the product. In other words, the use of...
Laminar and Turbulent Flow01:07

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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...
Turbulent Flow: Problem Solving01:09

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Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
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Steady, Laminar Flow Between Parallel Plates01:17

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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.

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Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique
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Jet sharpening by turbulent mixing.

D G Dritschel1, R K Scott

  • 1School of Mathematics, University of St Andrews, Fife, UK. dgd@mcs.st-and.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|January 19, 2011
PubMed
Summary
This summary is machine-generated.

Planetary jets sharpen due to potential-vorticity gradients. This study quantifies jet sharpening using a quasi-geostrophic model, revealing the role of coherent vortices in this process.

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Area of Science:

  • Fluid dynamics
  • Atmospheric science
  • Oceanography

Background:

  • Planetary jets and ocean currents exhibit sharp potential-vorticity gradients.
  • These gradients are linked to the inherent balance of geophysical flows.

Purpose of the Study:

  • To explore and quantify jet sharpening in a simplified geophysical fluid dynamics model.
  • To investigate the role of coherent vortices in the vicinity of jets during the sharpening process.

Main Methods:

  • Utilized a single-layer, quasi-geostrophic model on a mid-latitude β-plane.
  • Employed numerical experiments with high resolution to explore parameter space.
  • Varied two key parameters: Rossby deformation length and initial flow perturbation amplitude.

Main Results:

  • Demonstrated the sharpening of initially broad jets.
  • Identified and quantified the influence of coherent vortices on jet sharpening.
  • Showcased how flow parameters control the development and intensity of jets.

Conclusions:

  • Jet sharpening is a quantifiable process in idealized geophysical flows.
  • Coherent vortices play a significant role in modulating jet structure.
  • The model provides a framework for understanding jet dynamics in planetary atmospheres and oceans.