- #1
redowling
- 3
- 0
Hello all - this isn't a homework question; it's a real problem I'm struggling to solve. Apparently I'm being a bit of a mechanics 'tard, so any help would be appreciated.
I have a high pressure reservoir (~60MPa) sealed off from a low pressure area by means of a metal plate. The plate has a hole in of 40mm diameter, kept just to one side so the metal plate provides an initial seal. I need this hole to be fully open to the high pressure reservoir in 2.5ms. The plate is likely to be clad with PTFE to reduce the frictional forces (mu = 0.2, PTFE to Steel). All of the normal force will be provided by the pressure acting on the plate.
In order to open the valve in this time, I am investigating striking the plate (m=0.37kg) with a larger mass which will achieve the required opening speed.
I'm struggling with taking into account the large frictional forces on the plate to work out the mass & velocity I need from the larger mass in order to achieve the right opening speed. I don't think it's realistic to model as a perfectly inelastic collision where the masses stick together (because the physical design of the system probably will need to stop the larger mass once it has struck the smaller).
This seems like it should be really simple mechanics question - but I can't seem to get my head around it.
I have a high pressure reservoir (~60MPa) sealed off from a low pressure area by means of a metal plate. The plate has a hole in of 40mm diameter, kept just to one side so the metal plate provides an initial seal. I need this hole to be fully open to the high pressure reservoir in 2.5ms. The plate is likely to be clad with PTFE to reduce the frictional forces (mu = 0.2, PTFE to Steel). All of the normal force will be provided by the pressure acting on the plate.
In order to open the valve in this time, I am investigating striking the plate (m=0.37kg) with a larger mass which will achieve the required opening speed.
I'm struggling with taking into account the large frictional forces on the plate to work out the mass & velocity I need from the larger mass in order to achieve the right opening speed. I don't think it's realistic to model as a perfectly inelastic collision where the masses stick together (because the physical design of the system probably will need to stop the larger mass once it has struck the smaller).
This seems like it should be really simple mechanics question - but I can't seem to get my head around it.