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 ...
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Ž<br />
Á<br />
§<br />
Âc<br />
Ã<br />
c<br />
¬<br />
¬<br />
Å<br />
Å<br />
Í<br />
Å<br />
|<br />
~ ~<br />
¯ ~ <br />
x<br />
W<br />
V<br />
~<br />
¢<br />
~<br />
~<br />
~<br />
Ž<br />
Ÿ<br />
Reynolds number based on tracer particle diameter, c e<br />
Reynolds number based on boundary layer thickness, c e ‰ _P¹<br />
x<br />
outward interaction, ¬ with ¬¾ÆY and ÆÇY<br />
T<br />
inward interaction, ¬ with ¬¾ÈY and ÈÇY<br />
l<br />
x<br />
x<br />
x<br />
x<br />
l<br />
Commonly used symbols<br />
I<br />
particle image density<br />
pressure fluctuation<br />
©<br />
<strong>turbulent</strong> kinetic energy, ª Tz« ¬ ª<br />
u® d u®¯ d a7_ [ d<br />
Q h°hFj<br />
Q D<br />
spatial cross-correlation<br />
global maximum <strong>of</strong> correlation (signal peak)<br />
Q/±³²´±£µ correlation <strong>of</strong> velocity fluctuation ¬· and ¬7¸<br />
QKR<br />
p_P¹<br />
Reynolds number based on stream-wise measurement position, c eIº _P¹<br />
QKRS<br />
| ~ ¼ } ¼<br />
Reynolds number based on momentum c e ŒP_P¹<br />
thickness,<br />
co-ordinates <strong>of</strong> <strong>the</strong> signal peak in correlation plane<br />
time<br />
QKR<br />
QKR»<br />
Ž¡½<br />
non-dimensional time, Ž¡½¾TŠŽ°¬ d<br />
delay between two laser illuminations<br />
_P¹<br />
rÀ<br />
Ž¿TŠŽ<br />
e c<br />
» c<br />
~ Â ~ Ã<br />
free-stream velocity<br />
mean velocity at <strong>the</strong> boundary layer edge<br />
instantaneous velocity component º in -direction<br />
instantaneous velocity component ¢ in -direction<br />
instantaneous velocity component Ÿ in -direction<br />
mean velocity components º in ¢ , Ÿ and -direction<br />
components <strong>of</strong> velocity fluctuations º in ¢ , Ÿ und -direction<br />
¬ turbulence level, Á ¬4T « ¬ d _ c<br />
¬Ä½<br />
¯ ½ non-dimensional velocity fluctuations, ¬Ä½GTŠ¬ _ ¬<br />
½<br />
friction ¬ velocity,<br />
p particle velocity<br />
¬<br />
rms root mean square value <strong>of</strong> ¬ , ¬ rms T « ¬ d<br />
¬<br />
] w_€a y<br />
sweep, ¬ with ¬GÆY and ÈÉY<br />
~ Ì<br />
image co-ordinates<br />
¤<br />
space co-ordinate in stream-wise direction<br />
º<br />
space co-ordinate in wall-normal direction<br />
¢<br />
space co-ordinate in span-wise direction<br />
Ÿ<br />
[ ejection, ¬ with ¬GÈÉY and ÆY<br />
ÅËÊ<br />
displacement in physical space<br />
Ÿ ½ viscous or wall units, º ½ T º ¬<br />
_P¹<br />
º ½<br />
¢ ½<br />
º ~<br />
Ÿ 0<br />
light-sheet thickness<br />
_–¹<br />
º ½ non-dimensional displacement, º ½ T º ¬<br />
Greek symbols<br />
<strong>of</strong>f-axis angle<br />
‰ boundary layer thickness ‰KTm‰ ` c TŠY)nÏΖΠc e f<br />
178<br />
‰ depth <strong>of</strong> focus, ‰ T\[Pq^s<br />
diff`@t u V f _ÐtÑd
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