PIPII BTL Collimator SteadyState Thermal FEA Results 1
PIP-II BTL Collimator Steady-State Thermal FEA Results 1% of 25 k. W beam power deposition into material – Scaled up from 25 k. W beam Edep with jaws at 3σ from beam center R. Campos, A. Chen 11 June 2019
Geometry/Materials Modeled Air gap modeled 1 m downstream beam tube Thermal Conductivities: Air - 0. 0262 W/m. K Aluminum ~ 150 W/m. K (Ansys default) Copper/Bronze - 401 W/m. K (Ansys default) Marble - 3 W/m^2 K Stainless Steel – 15. 1 W/m. K (Ansys default) Steel – 60. 5 W/m. K (Ansys default) 2 3σ from jaws’ inner face to beam center 1/11/2022 R. Campos | PIP-II BTL Collimator Steady-State Thermal FEA Results
Analysis/Model Assumptions • • • Steady-State Heat Transfer Finite Element Analysis Energy deposition into material normalized from MARS EDep calculations for 25 k. W beam to 1% of 25 k. W beam power (250 W deposited into material) 5 W/m^2 K convection to 26 deg C ambient air • Higher mesh density at locations with Edep gradients • • Conservative thermal conductance between Jaws and Chamber =200 W/m^2 K Radiation heat transfer between jaws and chamber modeled 3 1/11/2022 R. Campos | PIP-II BTL Collimator Steady-State Thermal FEA Results
Thermal Contacts and Conductance All welded joints have assumed perfect conductance Chamber to blocks: 1500 W/m^2 K Jaws to SS plates: 200 W/m^2 K – bottom only Bushings: 1500 W/m^2 K Marble blocks: 500 W/m^2 K 4 Steel blocks: 1500 W/m^2 K Radiation heat transfer from jaws to chamber 1/11/2022 R. Campos | PIP-II BTL Collimator Steady-State Thermal FEA Results
Heat Load – Mapped Energy Deposition Vacuum Chamber Marble blocks Stainless steel beam tube Jaws FE model power deposition: 25 KW beam Edep, W Pipe - downstream Pipe- upstream Steel blocks 3. 4 3. 50 E-03 Chamber 13 Steel Blocks 31 Marble 2 Jaws 41 Total 89 Scale factor =250 W/89 W=2. 795 • • • 5 MARS EDep courtesy of Igor Rakhno Unit conversion courtesy of Alex Chen Shown values were scaled up to 250 W total energy deposition from MARS calculated EDep at 25 k. W 1/11/2022 R. Campos | PIP-II BTL Collimator Steady-State Thermal FEA Results
Temperature Results – 1% 6 of 25 k. W beam ED 1/11/2022 R. Campos | PIP-II BTL Collimator Steady-State Thermal FEA Results
Summary • • 7 The Energy deposition was mapped into finite element model and total power was scaled to 250 W to calculate steady-state temperatures The thermal conductance across AL-SS was estimated conservatively, but it is necessary to maintain the contact mechanically, especially for vertical collimator. Maximum temperature is 50 C, well below the working temperature (150 C) of AL Temperature in the AL jaws is distributed evenly in lateral and vertical directions, so there is no concern of warping. 1/11/2022 R. Campos | PIP-II BTL Collimator Steady-State Thermal FEA Results
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