andrew99
From your last post "What is the relationship between force generated and iron content? Is it directly proportional" I understand that you have no experience and knowledge in high speed valves design. Who is designing the valve? Does he has any experience or you are just trying to re-engineer / copy a competitor valve.
I assume you operate the valve (On-off) at a variable Duty cycles and high frequency to control the pressure in a volume/piston.
There is no simple answer to your question because the magnetic behavior is non-inear and the magnetic flux has a saturation point.
Ususlly a computer program that solves the electric coil current rise time coupled with the magnetic flux generation rise time, flax value, resulting magnetic force and the plunger movement under the generated magnetic force, acceleration, springs, fluid pressure. etc.
FEA program can help design the static condition but to analyse the valve dynamics a computer program is needed.
You have to be aware that the on and off opening time variations for the valve and the delay from command to full opening of the valve can greatly affect the performance. This is crucial for such a high speed valve.
One more issue is that the mechanical opening and closing time of the valve depends on the fluid pressure in the valve. Therefore in high duty cycle command the valve will be slower.