D0 Silicon Upgrade: Control Dewar Valve Calculations Page: 2 of 11
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I
This engineering note documents the calculations that were done to
support the valve size selection for the magnet flow control valve,
EVMF in the solenoid control dewar. The size selected was a control
valve with a Cv = 0.32.
Explanation of Calculations Done
(SEE APPENDIX FOR RAW CALCS.)
A. ISOLATION VALVES
There are three valves in the control dewar. Two are simply
isolation type valves which direct the solenoid helium return either
to the control dewar helium reservoir (PV-3209-H) or to the suction
header during quench recovery or cooldown (PV-3201-H). These
valves are Cryolab model CV1997B valves with an on/off bullet of
Cv = 6.0. At the design flowrate, a negligible pressure drop is
expected at these valves. Having these valves on hand, I measured
the stroke to 9/16". The maximum flow cross section in these valves
is about 3/4" dia. If 300 psig acted on this area, a force of 132 lbs. is
required to counteract this. We are planning on using 1/2" size
Badger actuators with 11.3 inA2 of diaphragm area. An I/P control
pressure 11.7 psi on the diaphragm will supply 132 lbs. of force. The
actual maximum pressure either of these two valves should see is 60
psig, the set point of the quench relief valve immediately upstream.
B. MAGNET CONTROL VALVE
1. Steady state requirements:
A design flow rate of 2.5 g/s was determined from Toshiba's
latest design report (Oct. 1995). The fluid thermodynamic state
(Pressure and Temperature) on either side of this valve was taken
from D-Zero EN-351, "Control Dewar Subcooler Heat Exchanger
Calculations". Plugging the flowrate, density and 3.675 psi pressure
drop into the standard Cv equation for a non-vaporizing liquid, a
design Cv = 0.06 was obtained. A design philosophy of being able to
operate at 20 g/s has been taken through out the refrigerator design.
Based on this, a Cv = 0.32 bullet size was chosen. A pressure drop of
8.3 psi is expected at this flow and Cv. This is at the borderline of an
acceptable pressure drop. If required, the trim set is
interchangeable and can be modified in situ.
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Rucinski, Russ. D0 Silicon Upgrade: Control Dewar Valve Calculations, report, October 20, 1995; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc841561/m1/2/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.