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10
votes
2answers
699 views

Calculating Reynolds number for a viscous droplet

I'm trying to develop a very basic scaling law/unit analysis for viscous droplet formation, and I'd like to get some rough numerical values of the Reynolds number to play with. To be specific, I'm ...
2
votes
1answer
45 views

Why do flat sheets of paper twist more than paper cones as they fall?

If I cut a 10cm circle out of a piece of paper and drop it, it will twist as it falls, even if it's rigid. If I then cut out a one-quarter wedge of the circle and tape the remaining three-quarters ...
0
votes
1answer
94 views

Is the strength of a muscle proportional to its cross-sectional area?

I have a question that is partially related to at least a couple of old questions: this one and this other. My question is specifically focused on the following point: why should the strength of a ...
2
votes
0answers
46 views

Scaling in Vlasov equations

This question is in reference to the paper, http://arxiv.org/abs/1301.7182 What exactly is the argument being made on page 6 and 7? One deduces that the function $\Delta$ has to be such that, ...
2
votes
0answers
93 views

Will Anderson's Poor Man's Scaling loose its effect when band width is small?

The s-d interaction Hamiltonian is as fellows $H_I=Js.S$, J is the coupling strength. We focus on the antiferromagnetic case, where $J>0$. According Anderson's poor man's scaling, the ...
1
vote
0answers
91 views

scaling laws for density and temperature of high-energy explosions

I'm wondering if there are heuristic ways to derive how the peak density and temperature of nuclear explosions scale with the amount of fissile/fusible material. Does it matter what the explosion ...
0
votes
0answers
47 views

Ignore terms in the equation of motion

While working on a problem relative to particles motion, I ended up with the following second order nonlinear differential equation: $$\tag{1} ...