Three-dimensional effects in quasi two-dimensional free surface scalar experiments

Three-dimensional effects in quasi two-dimensional free surface scalar experiments The disagreement between free surface scalar experiments and the two-dimensional (2D) transport equation is discussed. An effective diffusivity coefficient, $$\kappa _{{\rm eff}}$$ κ eff , is introduced and defined as the quotient between variance decay and mean gradient square. In all the experiments performed, $$\kappa _{{\rm eff}}$$ κ eff is significantly larger than the scalar diffusivity, $$\kappa $$ κ . Three mechanisms are identified as responsible for the differences between the quasi two-dimensional (Q2D) experiments and the 2D behaviour of a diffusive scalar. These are the vertical velocity gradients, the free surface divergence and the gravity currents induced by the scalar. These mechanisms, which affect the diffusive term in the 2D transport equation for large Péclet number ( $$Pe\gg 1$$ P e ≫ 1 ), are evaluated for steady and time-dependant laminar flows driven by electromagnetic body forces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Experiments in Fluids Springer Journals

Three-dimensional effects in quasi two-dimensional free surface scalar experiments

Loading next page...
 
/lp/springer_journal/three-dimensional-effects-in-quasi-two-dimensional-free-surface-scalar-Fs0wDdcKpH
Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Engineering; Engineering Fluid Dynamics; Fluid- and Aerodynamics; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0723-4864
eISSN
1432-1114
D.O.I.
10.1007/s00348-014-1835-0
Publisher site
See Article on Publisher Site

Abstract

The disagreement between free surface scalar experiments and the two-dimensional (2D) transport equation is discussed. An effective diffusivity coefficient, $$\kappa _{{\rm eff}}$$ κ eff , is introduced and defined as the quotient between variance decay and mean gradient square. In all the experiments performed, $$\kappa _{{\rm eff}}$$ κ eff is significantly larger than the scalar diffusivity, $$\kappa $$ κ . Three mechanisms are identified as responsible for the differences between the quasi two-dimensional (Q2D) experiments and the 2D behaviour of a diffusive scalar. These are the vertical velocity gradients, the free surface divergence and the gravity currents induced by the scalar. These mechanisms, which affect the diffusive term in the 2D transport equation for large Péclet number ( $$Pe\gg 1$$ P e ≫ 1 ), are evaluated for steady and time-dependant laminar flows driven by electromagnetic body forces.

Journal

Experiments in FluidsSpringer Journals

Published: Oct 21, 2014

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off