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Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique
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Mixing efficiency in natural flows.

I D Lozovatsky1, H J S Fernando

  • 1Environmental Fluid Dynamics Laboratories, Department of Civil Engineering and Geological Sciences, University of Notre Dame, Notre Dame, IN 46556, USA. i.lozovatsky@nd.edu

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|November 28, 2012
PubMed
Summary
This summary is machine-generated.

Mixing efficiency in stratified shear flows depends on gradient Richardson number (Ri) and buoyancy Reynolds number (Re(b)). Findings clarify variability in mixing efficiency across different flow conditions.

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Area of Science:

  • Fluid Dynamics
  • Atmospheric Science
  • Turbulence Research

Background:

  • Stratified shear flows exhibit complex mixing dynamics.
  • Mixing efficiency (γ) is crucial for understanding momentum and scalar transport.
  • Previous studies show wide variability in estimated mixing efficiency.

Purpose of the Study:

  • To investigate the dependence of mixing efficiency on governing parameters.
  • To identify the limitations of common flux-estimation methodologies.
  • To explain the observed variability in mixing efficiency.

Main Methods:

  • Direct measurements of fluxes and property gradients in the stable atmospheric boundary layer.
  • Analysis using turbulent kinetic energy (TKE) and scalar balance equations.
  • Evaluation across a range of gradient Richardson number (Ri) and buoyancy Reynolds number (Re(b)).

Main Results:

  • Mixing efficiency (γ) is dependent on both Ri and Re(b).
  • Common flux-estimation methods based on TKE break down outside specific Ri and Re(b) ranges.
  • γ increases with Ri but decreases with Re(b) across a wide range.
  • γ is approximately constant (≈0.16-0.2) near critical Ri (Ri(cr)≈0.1-0.25).

Conclusions:

  • The study clarifies the factors influencing mixing efficiency in stratified shear flows.
  • Understanding the interplay between Ri and Re(b) is key to accurate flux estimations.
  • The findings reconcile discrepancies in previous mixing efficiency studies.