Homework Statement
A tornado:
of d = 2r = 0.9 km
r = radius
vortic ity 9 rad/s at altitude 0.8 km
What is the velocity at ground level given 2*pi*r = 95 m at that level.
If someone could just guide me on what the relevant equations are. I am revisiting the background material but any...
This relates to a fluid flow. I am required to show that it is homogeneous which means that the statistical properties of a property measured at x' do not differ when measured at x'' - all statistical moments should be the same everywhere in physical space.
The average is over x.
Homework Statement
Given:
V(n, t, x') = sin [k x' + A (n, t)]
where
k is a constant
n stands for the nth realisation
A is uniformly distributed in [0, 2pi] and
x' denotes the position vector
How can I show that the mean of V i.e. <V> and the mean of the squares <V^2> are...