Taylor time scale

drudox · May 4, 2020, 15:57

Hi All
I would like to know if there is a direct equation to compute the Taylor time scale! I have read around several book but there is nothing like for example the Kolmogorov time scale $\tau_k = \sqrt{\frac{\nu}{\epsilon}}$
Somebody might help me about ...

LuckyTran · May 4, 2020, 20:40

Take the length scale and divide by the velocity scale.

Tennekes & Lumley and Pope come to mind.

drudox · May 5, 2020, 03:26

Thanks a lot for your reply !

reading Tennekes & Lumley I found that

$\frac{u}{\lambda} = 0.26 \tau ^{-1} = 0.26(\frac{\epsilon}{\nu})^{1/2}$

so :

$\frac{\lambda}{u}= \frac{1}{0.26}{\tau}$

where tau is the kolmogorov time scale ! is it correct ?

May 4, 2020, 15:57	Taylor time scale	#1
drudox Member Marco Ghiani Join Date: Jan 2011 Posts: 35 Rep Power: 15	Hi All I would like to know if there is a direct equation to compute the Taylor time scale! I have read around several book but there is nothing like for example the Kolmogorov time scale $\tau_k = \sqrt{\frac{\nu}{\epsilon}}$ Somebody might help me about ...

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May 4, 2020, 20:40		#2
LuckyTran Senior Member Lucky Join Date: Apr 2011 Location: Orlando, FL USA Posts: 5,683 Rep Power: 66	Take the length scale and divide by the velocity scale. Tennekes & Lumley and Pope come to mind.

May 5, 2020, 03:26		#3
drudox Member Marco Ghiani Join Date: Jan 2011 Posts: 35 Rep Power: 15	Thanks a lot for your reply ! reading Tennekes & Lumley I found that $\frac{u}{\lambda} = 0.26 \tau ^{-1} = 0.26(\frac{\epsilon}{\nu})^{1/2}$ so : $\frac{\lambda}{u}= \frac{1}{0.26}{\tau}$ where tau is the kolmogorov time scale ! is it correct ?