Displaying 1 result from an estimated 1 matches for "nondimensional".
2000 Jun 03
4
How to do linear regression with errors in x and y?
...t comes up all the time in
physics (in this case, fluid mechanics). I have measured variables,
let's call them X and Y, and dimensional analysis suggests that these
be scaled by Lx and Ly say, so the buckingham Pi theorem says that we
must have
Y/Ly = f(X/Lx, ...)
where the ... is a list of nondimensional parameters of the problem.
(As an aside, the X is depth below the ocean surface, Lx is the RMS
height of waves on the surface, Y is a measure of the turbulence in
the ocean, and Ly is related to the wind stress on the water surface.
The ... is a list of parameters that includes how long the wind ha...