When you point out the mathematics I guess it does make sense. I don't have a lot of dynamics experience and I guess I am just having trouble intuitively getting used to the idea that the number of interactions (which is proportional to the density) would not change the viscosity.
Thanks for...
The article I linked may have not been the best example, I think it is referring to the force at terminal velocity (notice that a general v is no were in the expression). Classical Mechanics by Taylor explicitly says drag force is b*v and in problem 2.2 says b is given by 3pi*n*D where d is...
The linear drag coefficient is a function only of object size and medium viscosity. Multiply sources say viscosity of air is independent of pressure and density. How can the linear drag be independent of density of the medium? It seems like less dense medium should mean fewer collision and in...
The data is a scalar value for all points in a 2D plane. I am most interested in seeing if patterns that are evident on large scales repeat themselves on smaller scales, like is seen in fractals. I'm interested in both 1D and 2D patterns.
Thanks.
Hi, I have been looking for fractal behavior in a data set. I've used the box method to determine fractal dimension by looking at the inverse of box size and the number of boxes needed to enclose the object. These two variables seem to be fairly accurately predicted by a power law...
I disagree, the sky you see up high is being viewed through a large amount of low altitude air and thus would be tinted blue regardless. In a similar fashion you can in fact see scattering directly in front of you but the distances are typical too short for any appreciable effects. This isn't...
This is what I was inclined to believe at first too but at STP the mean distance between air molecules is around 4nm, 100 times less than the wavelength of visible light. Also, in Intro to Optics Hect specifically talks about air and implies that this is true for Rayleigh in the atmosphere. Is...
So I have become a bit confused by the relationship between intensity of Rayleigh scattering and density of the gas. Multiple sources (ex. Salby, Atmospheric Physics) give the scattering cross section per molecule, σ, to be dependent on 1/λ4, the index of refraction of the material and 1/N2...
Yeah, I thought that might be that case but I wasn't sure. Thanks.
The two definitely are pretty much equivalent, I just wasn't quite seeing how so, thanks again.
\Delta\Omega2=<\Psi|(\Omega - <\Omega>)2|\Psi> (hope that is legible)
but I'm confused as to how the middle, (\Omega -<\Omega>) is defined. Isn't this an operator minus a scalar?
I know I can also find \Delta\Omega2 by summing the the products of the probabilities of all the states...
Andrew, thanks for the reply. I hadn't considered compression causing potential energy to turn into thermal energy that seems like it is on the right track. The one aspect of this theory I don't quite get though comes from the fact that the problem asks for the maximum possible height. With the...
I was looking over an old qualifying exam and I came across a problem asking what the maximum height of a mountain on Earth could be. The solution states that the rock at the base of the mountain will melt and flow away when the potential energy of the top layer of the mountain is equal to the...