Weird fluid dynamics question?

Question

Did Claude-Louis Navier and George Gabriel Stokes came up with their equations which accounted for viscocity by studying each other's "money shots?" I mean, there is very valuable data to be had there and I just wonder if they took it into consideration. Or would the difficulty in establishing a constant velocity render it moot?

Answer 1

The equations account for velocity not being constant, which is apparent when it drips down the wall after some Navier-Stokes action, the acceleration of gravity causes it to speed up, but the viscous forces keep it from moving at free fall speed.

Answer 2

This one time I tried to prove the Navier-Stokes equations. Then I realized that I barely even understand the problem.

Answer 3

The constant velocity issue was resolved by capturing the fluids in a beaker that had a circulation pump and tubing inserted inside the beaker. They could then circulate the fluids at a constant velocity, although they were happy to replenish the supply frequently.

Answer 4

Are you sure you meant Claude-Louis Navier and not Peter North?

Answer 5

I know one thing...misers have a very high viscosity for their money.....it does not move with the `gravity` of their needs.

Answer 6

This is a question I will ask the wife when she gets out of her "analysis of Structures" class. Promise.

Answer 7

If x and U are in one million to one million correspondence, you could of course use the chain rule to get d(dU/dx)/dU = d^2U/dx^2*dx/dU whether you need to to particular this in any different case. watching that for this reason dx/dU = one million/(dU/dx) or dU/dx*dx/dU =one million and differentiating wrt U you get d^2U/dx^2 (dx/dU)^2 +dU/dx*d^2x/dU^2 = 0 so yet another expression of the consequence is won via multipying the final equality via dU/dx to get: d^2U/dx^2dx/dU = -(dU/dx)^2*d^2x/dU^2

Answer 8

I liek puppies!