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11 T Nb 3 Sn magnet thermal model ( 1/5)

11 T Nb 3 Sn magnet thermal model ( 1/5). Equations: energy equations considered for solid and superfluid helium One heat exchanger at 1.9 K 25 % wetted by liquid HeII Homogenization of the cable at the first order taking account of the copper, the

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11 T Nb 3 Sn magnet thermal model ( 1/5)

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  1. 11 T Nb3Sn magnet thermal model (1/5) • Equations: energy equations considered for solid and superfluid helium • One heat exchanger at 1.9 K25 % wetted by liquid HeII • Homogenization of the cable at the first order taking account of the copper, the • Nb3Sn and the resin: effective thermal conductivitykcable(T) • Cable insulation (G-10 – 100 µm thick) modeled by a thermal resistance • Between inner/outer coil: 3 layers of G-10 168 µm thick modeledby • one layer 504 µm thick • Between the coils and collars: 5 layers of kapton 125 µm thick modeledby one layer • 625 µm thick • Titanium pole pieceis taken 4 % open • Collars and yoke laminations are taken 2 %open • Annular space 1 – 1.5 mm 7th Collimation Upgrade Specification meeting

  2. 11 T Nb3Sn magnet thermal model (2/5) Input: assumed heat load distribution corresponding to 1.5 W/m 7th Collimation Upgrade Specification meeting

  3. 11 T Nb3Sn magnet thermal model (3/5) 7th Collimation Upgrade Specification meeting

  4. 11 T Nb3Sn thermal model (4/5) Maximum Temperature 2.39 K at midplane 7th Collimation Upgrade Specification meeting

  5. 11 T Nb3Sn thermal model (5/5) Conclusions: T-map-results invariant of annular space in range 1 – 1.5 mm T-map-results invariant pole piece opening in range 1 – 4 % With respect to LHC main dipole construction we assume that 1.5 mm annular space and 4 % pole piece opening are safe to cope with quench overpressure. Could be minimized, but would need verification (to be done) • Next to be done: • simulations with the real heat load • more precise homogenization of the cable • quench analysis to determine: • - holes in titanium piece needed • - maximum pressure reached • transient analysis 7th Collimation Upgrade Specification meeting

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