Difference between revisions of "Niowave 11-2015"

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(Created page with "The energy deposited by electrons scattered into a 3.48 diameter stainless steel beam pipe (1.65 mm thick) from a PbBi target as a function of a uniform Solenoidal magnetic fiel…")
 
 
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The energy deposited by electrons scattered into a 3.48 diameter stainless steel beam pipe (1.65 mm thick) from a PbBi target as a function of a uniform Solenoidal magnetic field.
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Niowave Positron Project Progress for November 2015
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The next step in the positron project, after determining the PbBi thickness for maximum positron production, was to estimate the heat that would be deposited from the primary electron beam on the beam pipe.  Electrons scattered by the PbBi target will intersect a beam pipe used to transport the desired positrons. Electrons traversing the beam pipe can deposit energy that will heat the beam pipe.  The goal of this simulation was to estimate the amount of the deposited energy to determine if there is sufficient cooling to prevent a beam pipe breach.  Below is a preliminary design of the beam pipe dimensions.
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{| border="1"
 
{| border="1"
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{| border="1"
 
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| B-field (Tesla) || Hot Spot (<math>MeV/e^-</math>)
 
 
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| 0.0  || 0.35
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[[File:TF_Niowave_SolenoidDesign_9-3-15.png | 400 px]]
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|-
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|-
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| 0.3    || 0.35
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|Element || dimension
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|-
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|-
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| 1.0  || 0.35
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| Inner beam pipe radius || 1.74 cm
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|-
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|-
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| 1.5  || 0.22
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| Inner beam pipe thickness || 0.165 cm
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|-
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| 2.0  || 0.10
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|water jacket thickness || 0.457 cm
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|-
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|-
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| 4.0  || 0.002
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| outer beam pipe radius || 2.362 cm
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| outer beam pipe thickness || 0.165 cm
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| Solenoid inner radius || 2.527 cm
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| Solenoid outer radius || 4.406 cm
 
|}
 
|}
  
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A comparison between the prediction from MCNPX and GEANT4 was once again performed.
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To convert this deposited energy per incident electron on the target to a heat load in the pipe you need to divide by the area of the pipe.
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A 10 MeV electron beam with a radius of 0.5 cm was incident on a 2 mm thick PbBi target.  The target is positioned at Z = -902 mm.
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As shown in the figure below, GEANT4 predicts a peak energy deposition of 0.35 MeV/e while MCNPX predicts about 0.38 MeV/e.  GEANT4 predicts a total of <math>3.08\times 10^7</math> MeV (the integral adds up the energy in each 1cm bin) of energy will be deposited in
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A histogram is filled with 1 cm bins along the Z axis. The surface area becomes <math>1 cm \times 2 \pi 3.48/2 = 10.933 cm^2</math>.  The beam pipe diameter assumed is 3.48 cm.
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a 1m long beam pipe surrounding a 2 mm thick PbBi target located at Z=-902 mm when 20 million electrons impinge the target.  The next step is to repeat his calculation in the presence of a solenoid surrounding the target.
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When filling the histogram binned 1 cm in Z, you should weight it by the amount of depositred energy divided by the circumference of the pipe and divided by the number of incident electrons on the target (5 million).  The energy units are converted to keV by multiplying the numberator by 100 or in this case dividing by 5000 instead of 5 million.
 
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TH1F *T00N=new TH1F("T00N","T00N",100,-1000.5,-0.5)
 
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Electrons->Draw("evt.EoutPosZ>>T00N","evt.DepE/10.088/5000")
 
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To convert From Mev/ e- to kW/cm^2 assuming a current of 1mA (10^-3 C/s) you 
 
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<math>\left( \frac{\mbox{MeV}}{\mbox{cm}^2 \mbox{e}^-}\right) \times \left( \frac{ \mbox{e}^-}{1.6 \times 10^{-19}\mbox{C}}  \right ) \times \left( \frac{1 \times 10^{-3} \mbox{C}}{\mbox{s}} \right )  \times \left( \frac{1.6 \times 10^{-13}\mbox{W} \cdot \mbox{ s}}{\mbox{MeV} }\right )</math>
 
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<math>\left( \frac{\mbox{keV}}{\mbox{cm}^2 \mbox{e}^-}\right) = \left( \frac{\mbox{W} }{\mbox{cm}^2 } \right )</math>
 
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{| border="1"
 
{| border="1"
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| [[File:BeamPipeDepEmev-vs-B.png |200px]] || [[File:BeamPipeDepPower-vs-B.png |200px]]|| [[File:BeamPipeDepPower-vs-lowB.png |200px]]
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| [[File:BeamPipeDepEmev_34.8_082915.png |400px]] || [[File:MCNPXBeamPipeDepEmev_34.8_090315.png |400px]]  
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|+ Energy deposited (MeV) along a 1 m long beam pipe of stainless steel 1.65 mm thick.
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|+ Energy deposited (MeV) in a 1 m long 3.48 cm diameter beam pipe surrounding a 2 mm target located at Z=-900 mm.
 
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|}
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With SS windows
 
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Positrons->Draw("sqrt(evt.BeamPosPosX*evt.BeamPosPosX+evt.BeamPosPosY*evt.BeamPosPosY)","evt.BeamPosMomZ>0 && evt.BeamPosPosZ>-500 && sqrt(evt.BeamPosPosX*evt.BeamPosPosX+evt.BeamPosPosY*evt.BeamPosPosY)<97.4/2");
 

Latest revision as of 15:20, 13 April 2016

Niowave Positron Project Progress for November 2015


The next step in the positron project, after determining the PbBi thickness for maximum positron production, was to estimate the heat that would be deposited from the primary electron beam on the beam pipe. Electrons scattered by the PbBi target will intersect a beam pipe used to transport the desired positrons. Electrons traversing the beam pipe can deposit energy that will heat the beam pipe. The goal of this simulation was to estimate the amount of the deposited energy to determine if there is sufficient cooling to prevent a beam pipe breach. Below is a preliminary design of the beam pipe dimensions.


TF Niowave SolenoidDesign 9-3-15.png
Element dimension
Inner beam pipe radius 1.74 cm
Inner beam pipe thickness 0.165 cm
water jacket thickness 0.457 cm
outer beam pipe radius 2.362 cm
outer beam pipe thickness 0.165 cm
Solenoid inner radius 2.527 cm
Solenoid outer radius 4.406 cm

A comparison between the prediction from MCNPX and GEANT4 was once again performed. A 10 MeV electron beam with a radius of 0.5 cm was incident on a 2 mm thick PbBi target. The target is positioned at Z = -902 mm. As shown in the figure below, GEANT4 predicts a peak energy deposition of 0.35 MeV/e while MCNPX predicts about 0.38 MeV/e. GEANT4 predicts a total of [math]3.08\times 10^7[/math] MeV (the integral adds up the energy in each 1cm bin) of energy will be deposited in a 1m long beam pipe surrounding a 2 mm thick PbBi target located at Z=-902 mm when 20 million electrons impinge the target. The next step is to repeat his calculation in the presence of a solenoid surrounding the target.

BeamPipeDepEmev 34.8 082915.png MCNPXBeamPipeDepEmev 34.8 090315.png
Energy deposited (MeV) in a 1 m long 3.48 cm diameter beam pipe surrounding a 2 mm target located at Z=-900 mm.
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