All Questions
Tagged with scales turbulence
5 questions
1
vote
1
answer
36
views
Energy density at a given scale in terms of the Energy Spectrum
Background:
Let us have a turbulent fluid with a random velocity field $\mathbf{u}(\mathbf{x})$.
The volume averaged kinetic energy density $\mathscr{E}_K$ can be expressed as
$$\mathscr{E}_K=\frac{1}{...
1
vote
1
answer
109
views
Calculating an anisotropic or component Taylor microscale
The Taylor microscale in isotropic turbulence is given by:
$$\lambda = \sqrt{ 15 \frac{\nu \ v'^2}{\epsilon} }$$
where v' is the root mean square of the velocity fluctuations. In general, for ...
2
votes
1
answer
419
views
About the formula of the Taylor microscale
I am running simulations of a non-isotropic turbulent flow and I need to compute the Taylor microscale. The formula one can find in the book Turbulent flows (Stephen B. Pope) is :
$\lambda = \sqrt{10} ...
0
votes
1
answer
110
views
How does the eddy velocity scale with its time scale?
According to Kolmogorov's energy casacade model, if we have a flow with inertial velocity scale $\mathcal{V}$, inertial length scale $\mathcal{L}$ then we can calculate the eddy velocity of an eddy ...
11
votes
2
answers
46k
views
What does the Reynolds Number of a flow represent physically?
What does the Reynolds Number of a flow represent physically?
I am having trouble understanding the meaning and the utility of the Reynolds number for a certain flow, could someone please tell me how ...