Sorry,Bob S I did'nt exactly understand your question...
There are no coils inside the tube.The coil is outside the tube.It is made by winding a magnet wire on a soft iron tube...simple.
Actually what I have found so far is that there are standard formulas for air core electromagnetic coils.So we get a more or less uniform field within the coil.there is small radial variation and axiially i.e. along the height of the coil the field at the middle is maximum and at the two ands (top and bottom)half of the maximum.
Now, as I add a hollow cylindrical soft iron core (a soft iron tube)almost all the flux lines go through the iron tube thus in effect screening the inside and so the inside of the tube is starved of magnetic flux.The field will be very high at the top of the tube wall as it is now turned into a magnet due its magnetization and north pole and south pole will be formed at the two ends(it also formed for a air core solenoid but the strength would be weak)just at the top of the tube wall.Hope I didn't mess up the explanation...
This is all fine and validated.I want exact field values at arbitrary points in 3d space both inside the tube and out side the tube i.e the 3d field distribution of B and H.
I know couple of solvers (simulators)which can be of some help but I need someone to accompany me by sharing their results of the simulation of the configuration in prder to validate my understanding.
...
1.FEMM...excellent...so far the best and lightweight field solver I have ever encountered.Its open source software so ..FREE DOWNLOAD!
this is the homepage:
http://femm.foster-miller.net/wiki/HomePage
2.Maxwell SV:
complicated...dont know much about
3.VIZIMAG small software ,lacks in flexibility to model complex geometries.
4.quickfield
5.comsolOr one can try and solve MAXWELL equations in the 3d (or 2d)space to get the field distribution...
Please share your thoughts...
Thanks to all.