Science Buddies: "Ask an Expert"

Hello fellow physicist and mathematicians!

I am not an expert nor qualified in those topics covered, but my inner self wants to know answers that are right now far beyond my understanding.

I did my research but due to my poor knowledge in fields of mathematics and physics, it was inevitable to reach out to someone who is capable of assisting a fellow wanna-be-engineer in trouble.

Here's the problem:

Imagine a very low viscosity ferrofluid liquid inside a tube of cylindrical shape propelled by a magnetic fields generated by multiple electro-magnets placed in the inner diameter of the circular tube. There is a round (circle) tube lying flat on the ground in horizontal position; dimensions :
r = 6cm
d = 12cm
O = 37.699112cm
h = 2cm

Thickness of the wall of the tube = 0.15cm
50ml of ferrofluid inside
weight of the fluid = 87g

Also the velocity at which the ferrofluid is moving is around 80m/s.

If I managed to spin the fluid inside the tube, while the power is emitted from the centre of the "circle" (understand the centre of the round tube) towards the direction of the rotation of the fluid as well as to point it up in 45 degree angle.

Which formulas would I use to calculate the energy of:
the liquid mass moving at high velocity,
the centrifugal force generated by the liquid and
the thrust generated by the circular movement of the evenly spread liquid mass inside the circular tube?

Lets not talk about the friction between the surface of the tube and the liquid nor energy consumption/types of magnets/material of the tube used.

Any ideas/thoughts will be greatly appreciated!

Thank you!

I found a very promising paper but it's not free.

http://scitation.aip.org/content/aip/jo ... /1.3633520

This looks non trivial and yet very interesting. Most articles I find on Ferrohydrodynamics are paid.

A good start would be understanding Maxwell's equations... Again non-trivial

Try searching yourself for Ferrohydrodynamics
Good luck

Thank you dear mister!

You made my hearth go race with that document!

Although it is not cheap, it might help my investigation/work progress a bit .

Yeah, if you are interested we could discuss this topic on skype. I have some drawings and I am working on a model in Fusion.

Once more thank you