How much do the vanes grow longitudinally under normal heat loads? How much do the vanes grow longitudinally under normal heat loads? What is the variance in the growth? - i.e. what are the tolerances?
What stresses do the clamping faces see? What happens if no gap is left to allow growth and the vanes of each section are just butted up to each other?
Section 2 or 3 of RFQ (no cutback etc) Section 2 or 3 of RFQ (no cutback etc) High mesh accuracy at vane ends Cut by three symmetry planes 800kW peak input RF at 10% duty factor - Large over-estimate of heat for safety factor
- Baseline, expected cooling performance
- Pessimistic cooling performance
- Worst case cooling, far below expectations
- Fixed clamping face, free vane ends (baseline)
- Both clamping face and vane ends fixed
- Entire end free to grow longitudinally
- Baseline longitudinal constraints, but vanes unable to grow transversely outward
Easy to tweak flow rates to get a uniform temperature The cooling system is quite effective at removing heat evenly along the length of the RFQ Typical longitudinal growth of a vane end is 40µm Maximum growth of one section will not exceed 250µm ∴ a 0.5mm gap between vane ends of two sections will be more than sufficient even if we need much more RF power than anticipated and the cooling system fails Require longitudinal and transverse gaps for growth Cooled flange brings small benefits but is not essential Transverse growth still <20µm as previously found
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