Calculating Magnetic Force on Ferrofluids Between Two Magnets

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SUMMARY

The discussion focuses on calculating the magnetic force exerted by a U-shaped magnet on a ferrofluid, specifically with a magnetic field strength of 0.8 Tesla and a gap of 1mm filled with fluid. The formula provided, F=B²*A/(μ₀*2), is intended for calculating the force between two magnetized surfaces, where F is the force in Newtons, B is the magnetic field strength in Tesla, A is the contact area in square meters, and μ₀ is the magnetic permeability constant (4π x 10-7). The poster seeks clarification on the formula's applicability and how to extend the calculations to include forces parallel to the magnet surfaces.

PREREQUISITES
  • Understanding of magnetic field strength and its measurement in Tesla
  • Familiarity with the concept of magnetic permeability and its constant (μ₀)
  • Knowledge of basic physics principles related to forces and surfaces
  • Experience with fluid dynamics, particularly in relation to ferrofluids
NEXT STEPS
  • Research the application of the formula F=B²*A/(μ₀*2) in different contexts
  • Explore methods for calculating forces acting parallel to magnet surfaces
  • Investigate simulation tools for modeling ferrofluid behavior in magnetic fields
  • Learn about the properties of ferrofluids and their interaction with magnetic fields
USEFUL FOR

Researchers, physicists, and engineers working with magnetic materials, particularly those interested in the behavior of ferrofluids in magnetic fields.

Flashlight21
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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
 
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Any progress on this? I'm playing around with ferrofluid myself and want to be able to suspend it in a tube.

Cheers,
Dave
 
EinsteinOfJazz said:
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... :smile:
 
Alright, I'll try making a post.

berkeman said:
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... :smile:
 

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