Calculating Magnetic Force on Ferrofluids Between Two Magnets

[Flashlight21]

I have the problem that I want to calculate the force of a magnet acting on a ferrofluid. I know this is is difficult but I am trying to make some simulations of physical behavior on ferrofluids

Consider a U-shaped magnet with ferrofluid between the two poles. The distance between the poles will be in the order of 1mm and this gap will be completely filled with fluid. Now I would like to calculate the force the magnet exerts on the ferrofluid. Now I know that the magnetic field strength between the poles is around 0.8Tesla.
I found the following formula:

F=B²*A/(mu₀*2)
where:
F: is the force between the two nearby surfaces [N]
B: is the magnetic field strength [T]
A: is the contact area between the surfaces [m²]
mu₀: is the magnetic permeability constant 4*pi*10^-7

The problem is that I do not know whether this formula is correct or not and if it is correct how can I use this the calculate the force since this formula is only for two magnetized surfaces. Also this formula only calculates the force perpendicular to the surface and eventually I would have to expand to the force parallel to the magnets surfaces.

Thanks in advance
Flashlight

PS. if I did not make myself clear please tell me and I will expand on the problem

 

[EinsteinOfJazz]

Any progress on this? I'm playing around with ferrofluid myself and want to be able to suspend it in a tube.

Cheers,
Dave

 

[berkeman]

Any progress on this? I'm playing around with ferrofluid myself and want to be able to suspend it in a tube.

Cheers,
Dave

Welcome to the PF, Dave.

From the poster's Profile page:

Flashlight21 was last seen: Apr 6, 2011

You probably won't be getting a response from him, but maybe somebody else can help you out with your question...

 

[EinsteinOfJazz]

Alright, I'll try making a post.

Welcome to the PF, Dave.

From the poster's Profile page:
You probably won't be getting a response from him, but maybe somebody else can help you out with your question...