22.10.2014 Views

The significance of coherent flow structures for the turbulent mixing ...

The significance of coherent flow structures for the turbulent mixing ...

The significance of coherent flow structures for the turbulent mixing ...

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

æ<br />

(<br />

|<br />

|<br />

|<br />

|<br />

|<br />

|<br />

|<br />

ì<br />

æ<br />

õ<br />

æ<br />

<br />

õ<br />

æ<br />

æ<br />

n<br />

õ<br />

n<br />

æ<br />

(<br />

h<br />

~ }<br />

} ~<br />

~ }<br />

} ~<br />

~ }<br />

} ~<br />

~ }<br />

U<br />

c<br />

U W<br />

4<br />

W U<br />

çfe 3dY<br />

4<br />

/<br />

4<br />

4<br />

U<br />

c<br />

4<br />

e<br />

3 <br />

4<br />

W<br />

ç<br />

U<br />

e 3bY<br />

¤<br />

4<br />

4<br />

¤<br />

æ<br />

4.4 Modes <strong>of</strong> Operation II – Out-<strong>of</strong>-plane <strong>flow</strong>s<br />

Intensity<br />

ttttttttttt uuuuuuuuuuu<br />

uuuuuuuuuuu ttttttttttt<br />

ttttttttttt uuuuuuuuuuu<br />

yFyFyFyFyFy xFxFxFxFxFxFx<br />

yFyFyFyFyFy xFxFxFxFxFxFx uuuuuuuuuuu ttttttttttt<br />

uuuuuuuuuuu ttttttttttt<br />

vvvvvvvvvvv wwwwwwwwwww<br />

wwwwwwwwwww vvvvvvvvvvv<br />

vvvvvvvvvvv wwwwwwwwwww<br />

{F{F{F{F{F{ zFzFzFzFzFzFz<br />

{F{F{F{F{F{ zFzFzFzFzFzFz wwwwwwwwwww vvvvvvvvvvv<br />

wwwwwwwwwww vvvvvvvvvvv<br />

z<br />

xFxFxFxFxFxFx<br />

yFyFyFyFyFy<br />

ttttttttttt uuuuuuuuuuu<br />

yFyFyFyFyFy xFxFxFxFxFxFx<br />

yFyFyFyFyFy ttttttttttt<br />

xFxFxFxFxFxFx uuuuuuuuuuu<br />

∆z<br />

ttttttttttt uuuuuuuuuuu<br />

yFyFyFyFyFy xFxFxFxFxFxFx<br />

yFyFyFyFyFy xFxFxFxFxFxFx uuuuuuuuuuu ttttttttttt<br />

xFxFxFxFxFxFx yFyFyFyFyFy<br />

xFxFxFxFxFxFx yFyFyFyFyFy<br />

∆t<br />

zFzFzFzFzFzFz<br />

{F{F{F{F{F{<br />

vvvvvvvvvvv wwwwwwwwwww<br />

{F{F{F{F{F{ zFzFzFzFzFzFz<br />

{F{F{F{F{F{ zFzFzFzFzFzFz wwwwwwwwwww vvvvvvvvvvv<br />

vvvvvvvvvvv wwwwwwwwwww<br />

{F{F{F{F{F{ zFzFzFzFzFzFz<br />

wwwwwwwwwww<br />

zFzFzFzFzFzFz {F{F{F{F{F{ vvvvvvvvvvv<br />

{F{F{F{F{F{ zFzFzFzFzFzFz<br />

{F{F{F{F{F{ zFzFzFzFzFzFz<br />

t<br />

FIGURE 4.6: Timing diagram<br />

<strong>for</strong> <strong>the</strong> simultaneous determination<br />

<strong>of</strong> all three velocity components<br />

in spatially separated<br />

planes<br />

<strong>the</strong> exact solutions. This analysis, which allows vortex identification to be made more reliable,<br />

involves locating certain critical points, linearising <strong>the</strong> equation in its vicinity and examining<br />

<strong>the</strong> topological features <strong>of</strong> <strong>the</strong> solution trajectories. This leads to <strong>the</strong> classification <strong>of</strong> possible<br />

critical points which may be displayed<br />

<<br />

in<br />

4<br />

a<br />

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!