rfq cooling studies. ansys multiphysics analysis mesh and solve for resonant frequency of vacuum use...
TRANSCRIPT
![Page 1: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/1.jpg)
RFQ Cooling Studies
![Page 2: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/2.jpg)
ANSYS Multiphysics Analysis
f = 324MHzΔf ~ 100kHZΔf/f ~ 1x10-4
Mesh not good enough?
![Page 3: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/3.jpg)
Slater Perturbation Theorem
• Electric and magnetic fields rearrange in a deformed cavity
• ∴ Resonant frequency of cavity varies when its boundary surfaces move
dVHE
dVHE
f
f
V
V
)(
)(
20
20
20
20
Stored energy of entire cavity vacuum
Energy change due to deformed boundary
![Page 4: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/4.jpg)
Fill this copper volume with a vacuum body
Use vacuum to solve for resonant frequency
Use copper to solve for temperature and structural distributions
![Page 5: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/5.jpg)
Magnetic field
Electric field
Boundary mesh elements
Surface heat losses
![Page 6: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/6.jpg)
E-field vectors show good quadrupole field
![Page 7: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/7.jpg)
Max Temperature = 37 °C
60W input RF power
Simulation in ANSYS
Cold Model Tests
Temperature Rise / C
15 15.6
Frequency Shift / kHZ
-78 -89
Max Structural Deformation = 0.3 mm
Predictions for 200kW input RF power:
Temperature rise ~1500 °C
Frequency Shift ~ 3 MHZ(but irrelevant for molten copper!)
![Page 8: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/8.jpg)
Cooling Pipe Flow RequirementsTcmP p For P = 200 kW and ΔT = 40 °C
Need mass flow of 1.19 kg s-1
(If split over 4 pipes, need 0.3 kg s-1 per pipe)
v
mDAAvlAm
2
4If we allow a flow velocity of 5 ms-1,need pipe diameter of ~ 9 mm
25.1
75.15105D
vlxp For 1m long pipes,
required pressure drop ~0.3 Bar
![Page 9: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/9.jpg)
Cooling Pipe Heat Transfer
D
kNhtc u
4.08.0023.0 Reu PRN
k
cP pR
2.0
8.0
1977D
vhtc
Can get Heat Transfer Coefficientof ~ 14000 W m-2 K-1
vD
Re
![Page 10: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/10.jpg)
Proposed Pipe Positioning
Applied HTC = 10000 W m-2 K-1
![Page 11: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/11.jpg)
Detailed Pipe Position Study
![Page 12: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/12.jpg)
Detailed Pipe Position Study
![Page 13: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/13.jpg)
Detailed Pipe Position Study
![Page 14: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/14.jpg)
Detailed Pipe Position Study
![Page 15: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/15.jpg)
Max x Displacement = 6 microns
Max y Displacement = 8 microns
![Page 16: RFQ Cooling Studies. ANSYS Multiphysics Analysis Mesh and solve for resonant frequency of vacuum Use surface EM results to calculate surface heat loads](https://reader035.vdocuments.net/reader035/viewer/2022062417/551afe47550346cf5a8b45e6/html5/thumbnails/16.jpg)
Next Steps…
• Confirm optimum position of pipes• Put pipes into full 3D model• Predict operational temperatures and
frequency shift• Work with Pete to make cooling
circuit work in reality!