Design and Analyses

 


Evaluation of stress due to internal pressure

 


 

  • 0.5 mm thickness for IN718 is satisfied for the stress.
  • However, 1.5mm of the thickness seems to be the thinnest as for manufacturing with IN718.


Analysis of stress due to H2O flow

for thickness: 1.5 mm, pressure: 1MPa

 


 


Distribution of heat deposition

 

  • Up to now, real distribution of proton beam can not be estimated. Assumptions are made. 
  • Heat deposition is given by Decay-TURTLE and NMTC/JAM.
Uniform distribution in phase space (likely to be real)
Uniform dist. in 81 πmm mrad
 Total heat 1.17 kW × 1.1 = 1.26 Kw/1.5 mm
Gaussian distribution in phase space
 4σ = 81 πmm mrad
Total heat 1.1 kW × 1.1 = 1.26 Kw/1.5 mm

 


Results of temperature and thermal stress for uniform dist. in phase space


 


For uniform case, temp. and stress are acceptable for IN-718. 

 


Results of temperature and thermal stress for Gaussian dist. in phase space

 


For Gaussian case,temp. and stressare acceptable forIN-718 as well.
     
The present PBW is feasible.



Analysis flow distribution of H2O

 


 


Results of wall temperature by thermal hydraulics analysis

 


Temperature of wall is acceptable.

 


Distribution of temperature for assembly

 

 

1.Modeling (3D solid) (See the right fig.)
 (1)PBW
   Window, Plenum and Pillow seal
 (2)Plug
   Flange, Shield, Supporter, Base and Guide

2.Placement
  ・Fixed by the pin located plenum
  ・Upper flange and base

3.Analysis condition
 (1)Density of heat deposition
  a. Window and Plenum ・・・0.3 W/cc (const)
  b. Duct at upstream ・・・0.02〜0.06W/cc
  c. Duct at downstream ・・・0.06〜0.14W/cc
  d. Plug ・・・0.0001〜0.01W/cc
  e. Mount, Rough guide ・・・0.002〜0.01W/cc
 (2)Heat transfer coefficient
  a. Heat transfer for water cooling (for 40℃)
    Window 9 kW/m2K, Plenum 1 kW/m2K
  b. Air ambient (natural convection heat transfer)
    On surface of Duct, Plug and Base
    5 W/m2K, Temp. 40℃
  c. Vacuum region
   Heat transfer insulated on vacuumed area
   and He area


Results of temperature distribution

 



Earthquake resistance analysis for plug