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Simple CFD Estimate of End Flange Tuner Finger Cooling

Simple CFD Estimate of End Flange Tuner Finger Cooling. Estimated Dimensions. 6mm. 5cm. 1cm. 1cm. 3cm. 2cm. 4cm. 5cm. Estimated Heat Load. IPHI RFQ end flange: 26 Wcm -2 on fingers

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Simple CFD Estimate of End Flange Tuner Finger Cooling

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  1. Simple CFD Estimate of End Flange Tuner Finger Cooling

  2. Estimated Dimensions 6mm 5cm 1cm 1cm 3cm 2cm 4cm 5cm

  3. Estimated Heat Load 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) FETS RFQ: 62 Wcm-2 at vane cut-back Assume less than half this on fingers? So 25 Wcm-2 is reasonable.

  4. Water out with temperature raised and at 0 Bar relative pressure Copper starting temperature = 22°C High mesh density in region between finger and pipe 15°C Water in at 1 ms-1 flow rate 25 Wcm-2 heat flux load on finger

  5. Flow Estimates 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 cm Average water flow rate vav = 1 ms-1 Pipe diameter, DH = 6 mm Estimated pressure drop, Δp = 0.003 Bar Nusselt number, Nu, of water flow = 55.03 Thermal conductivity of water, k = 0.6 Wm-1K-1 Estimated heat transfer coefficient = 5500 Wm-2K-1

  6. Intersection of drilled pipes slightly disrupts smooth flow

  7. Faster, disrupted flow round corner increases local HTC Average HTC ~ 6000 Wm-2K-1 which agrees with estimate

  8. Temperature rise of water ~ 2 °C which agrees with estimate

  9. 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

  10. Bulk copper in end flange is ~ 40 °C Finger gets pretty warm (100 °C) but that shouldn’t matter at all

  11. Summary • Majority of heat removed ok • Indirect cooling means finger gets hot • …but not enough to worry about • Assumes 25 Wcm-2 heat load (OVERESTIMATE!) • Will proceed with RF simulation to get better estimate of heat load on fingers • Overall, this cooling strategy should be fine

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