rfq end flange dipole tuner finger cooling. basis of study need multi-purpose end flange...
TRANSCRIPT
RFQ End FlangeDipole Tuner Finger Cooling
Basis of Study
• Need multi-purpose end flange– Adjustable dipole mode suppression fingers– Beam current transformer toroid mount– Potentially high heat loads
• Not much room between LEBT and RFQ• Want simple, compact cooling scheme• Need estimates of cooling performance
First design from Pete
2cm
1cm
1cm3cm
5cm
6mm
4cm
5cm
First Estimate of Heat Load
FETS RFQ: 62 Wcm-2 at vane cut-back
Assume less than half this on fingers? So 25 Wcm-2 is reasonable.
IPHI RFQ end flange: 26 Wcm-2 on fingers
(CW RFQ, though, so ours will have much less than this in reality, but 25 Wcm-2 will allow large safety margin)
Bulk copper in end flange is ~ 40 °C
Finger gets pretty warm (100 °C) but that shouldn’t matter at all
As a Rough Example Simulation:
• 160W of heat per finger removed ok• Indirect cooling means finger gets hot• …but not enough to worry about• Overall, this cooling strategy should be fine• Assumes 25 Wcm-2 heat load
(OVERESTIMATE!)• Commence RF simulation to get better
estimate of heat load on fingers
RF Simulation of Heat Load
Internal vacuum of RFQ for solution of eigenmodes.
Finger intrudes into vacuum. Parameterised to vary length and position.
High resolution vacuum around finger.
End-on Views of RF Fields Around Finger
Quadrupole magnetic field Dipole magnetic field
10mm diameter, 80mm long finger15mm in x and y from beam axis
15mm
15mm21.2mm
End-on Views of RF Fields Around Finger
Quadrupole electric field Dipole electric field
10mm diameter, 80mm long finger15mm in x and y from beam axis
Overall Body Surface Heat Flux(non-linear scale)
Quadrupole heat flux Dipole heat flux
10mm diameter, 80mm long finger15mm in x and y from beam axis
Cut-back and Finger Heat Flux(non-linear scale)
Quadrupole heat flux Dipole heat flux
> 50 Wcm-2 at vane cut-backs
10mm diameter, 80mm long finger15mm in x and y from beam axis
Quadrupole heat flux Dipole heat flux
Finger Surface Heat Flux
16 Wcm-2 on finger from dipole mode3 Wcm-2 on finger from quadrupole mode
10mm diameter, 80mm long finger15mm in x and y from beam axis
10mm
80mm
Variation of Finger Length
10mm diameter fingers of varying length15mm in x and y from beam axis
Variation of Finger Position
10mm diameter, 80mm long fingersVary finger distance from beam axis
• Fingers allow very fine tuning of RFQ• For optimal tunability, need:
– Variable length (2 to 10cm) fingers– Close (< 5cm) to beam axis– Cooling close as possible to entrance hole
• Max. heat assumes resonating on the dipole mode which won’t be the case
• Overall, finger heat won’t be a problem
Conclusion
Spare slides
15°C Water in at 1 ms-1 flow rate
Water out with temperature raised and at 0 Bar relative pressure
25 Wcm-2 heat flux load on finger
High mesh density in region between finger and pipe
Copper starting temperature = 22°C
Flow Estimates
pcm
PT
2504.1
7513.1
1419.5H
av
D
vLp
H
u
D
kNHTC
Total power, P, to be removed from each finger ≈ 160 W
Water mass flow rate, , per pipe = 0.028 kgs-1 (assuming flow speed = 1 ms-1 = 1.7 l min-1)
Estimated temperature rise, ΔT, of cooling water = 1.35 °C
Pipe length, L, within copper = 10 cmAverage water flow rate vav = 1 ms-1
Pipe diameter, DH = 6 mmEstimated pressure drop, Δp = 0.003 Bar
m
Nusselt number, Nu, of water flow = 55.03Thermal conductivity of water, k = 0.6 Wm-1K-1
Estimated heat transfer coefficient = 5500 Wm-2K-1
Intersection of drilled pipes slightly disrupts smooth flow
Faster, disrupted flow round corner increases local HTC
Average HTC ~ 6000 Wm-2K-1 which agrees with estimate
Temperature rise of water ~ 2 °C which agrees with estimate
Pressure drop is slightly higher than estimate because the pipe doesn’t have a smooth bend at corner, but it’s still nice and low