heat load of the radiation cooled ti target of the undulator based e+ source felix dietrich (desy,...
TRANSCRIPT
Heat load of the radiation cooled Ti target of the undulator based e+ source
Felix Dietrich (DESY, TH-Wildau),Sabine Riemann(DESY), Andriy Ushakov(U-Hamburg), Peter Sievers(CERN) Heat load of the radiation cooled Ti target of the undulator based e+ sourceDaresbury Laboratory, 02.09.15
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 2
Outline>Used models
engineering sketch
>General set up of the Simulation
>Results
nominal Lumi
Set up of the SimulationResults
Lumi Upgrade
Set up of the SimulationResults
Average heating
Set up of the SimulationResults
> Summary
Outline
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 3
Used models
> Based on a proposal of Dr. Peter Sievers (CERN)
> 2 Models in use
>Different sizes of the Ti Target
> cool areas size is:
cool bodies(Fe - assumed)
inner titan ring (Ti) neglected in the simulation
Ti Target
Cu radiator
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 4
>Model 1 target height r=50 mm
>Model 2 target height r=40 mm (bigger Cu radiator, Cooler and inner titan ring to maintain same target Radius)
Models – engineering sketch
Model 1 Model 2
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 5
General set up of all simulations
> ANSYS Transient Thermal Simulation
> E=250 GeV
> only a slice of the wheel with an angle of 8.724° is analyzed (corresponding to pulse length)
> Ti is heated with External FLUKA input (created by Dr. Andriy Ushakov)
> Ti Cu heat contact is program controlled
> Every fin and the top of the Ti target radiate
> ~2.8 m2 radiation surface
> The emissivity of all surfaces are assumed 0.7 (errors are taken into account)
> Surface to surface radiation tool is used
> no radiation into environment
> innermost side of all cooling body is set to 22°C(Cooling)
> Auto time stepping on
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 6
Setup of the Simulation – nominal Lumi
> the Input file for Model 1 and 2 ismultiplied by 1.71 (DT=150K)
> Simulation time 903s (129 pulses)
> Pulse length 727 µs (nominal Lumi)
> every 7s one pulse hits the same area (simulated spot)
Model 1 (50 mm)
Model 2 (40 mm)
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 7
Results – max. temperature – nominal Lumi
>Max temperature at any point at a specific time
Model 1 (target height 50mm) Model 2 (target height 40mm)
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 8
Result – Path Model 1 – nominal Lumi
> Temperature in the Target along 6 path
> For Model 1 (target height 50mm)
> Time 895,58s (after 128th pulse short before 129th pulse)
> index r same path but one the side of the target (4.362°)
vertical Temperature distribution horizontal Temperature distribution
Ti
Ti
Cu
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 9
Result – Path Model 2 – nominal Lumi
> Temperature in the Target along 6 path
> For Model 2 (target height 40mm)
> Time 895,58s (after 128th pulse short before 129th pulse)
> index r same path but one the side of the target (4.362°)
vertical Temperature distribution horizontal Temperature distribution
Ti
Ti
Cu
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 10
Results – 3D Plot all – nominal Lumi
> Temperature distribution in the whole target after 903s
>Red arrow marks the direction of the beam
Model 1 (Target 50mm) temperature range 413.49 °C – 22°C
Model 2 (Target 40mm)temperature range 306.6 °C – 22°C
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 11
Results – 3D Cu radiator – nominal Lumi
> Temperature distribution in the Cu-radiator after 903s
>Red arrow marks the direction of the beam
Model 1 (Target 50mm)temperature range 76.38 °C – 41.665°C
Model 2 (Target 40mm)temperature range 71.345 °C – 38.235°C
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 12
Results – 3D Cooler – nominal Lumi
> Temperature distribution in the Cooler after 903s
>Red arrow marks the direction of the beam
Model 1 (Target 50mm)temperature range 24.066 °C – 22°C
Model 2 (Target 40mm)temperature range 24.573 °C – 22°C
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 13
Setup of the Simulation – Lumi Upgrade
> the Input file for Model 1 and 2 ismultiplied by 1.5 (DT=195K)
> Simulation time 903s (129 Pulses)
> Pulse length 960.8 µs
> every 7s one pulse hits the same area (simulated spot)
Model 1 (50 mm)
Model 2 (40 mm)
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 14
Results – max. temperature – Lumi upgrade
>Max Temperature at any point at a specific time
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 15
Result – Path Model 1 – Lumi upgrade
> Temperature in the Target along 6 path
> For Model 1 (target height 50mm)
> Time 895,58s (after 128th pulse short before 129th pulse)
> index r same path but one the side of the target (4.362°)
vertical Temperature distribution horizontal Temperature distribution
Ti
Ti
Cu
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 16
Results – Path Model 2 – Lumi upgrade
>Results a long 6 path in the Target showing temperature
> For Model 2 (target height 40mm)
> Time 895,58s (after 128th pulse short before 129th pulse)
> index r same path but one the side of the target (4.362°)
vertical Temperature distribution horizontal Temperature distribution
Ti
Ti
Cu
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 17
Results – 3D Plot all – Lumi upgrade
> Temperature distribution in the Cu body after 903s
>Red arrow marks the direction of the beam
Model 1 (Target 50mm)temperature range 496.27 °C – 22°C
Model 2 (Target 40mm)temperature range 347.19 °C – 22°C
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 18
Results – 3D Cu radiator – Lumi upgrade
> Temperature distribution in the Cu radiator after 903s
>Red arrow marks the direction of the beam
Model 1 (Target 50mm)temperature range 78.58 °C – 48.693°C
Model 2 (Target 40mm) temperature range 85.358 °C – 44.752°C
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 19
Results – Lumi Upgrade 3D Cooler
> Temperature distribution in the Cooler after 903s
>Red arrow marks the direction of the beam
Model 1 (Target 50mm)temperature range 24.453 °C – 22°C
Model 2 (Target 40mm)temperature range 25.058 °C – 22°C
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 20
Set up of the Simulation – Average heating
> Auto time stepping on (boarders are 1s up to 200s)
> Factor for 1 and 2 is 2.2936e-4
> Simulation time 90300s
Model 1 (50 mm)
Model 2 (40 mm)
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 21
Result – Average heating – max. temperature in equilibrium
> Black line Model 1 (Target height 50mm)
>Red line Model 2 (Target height 40mm)
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 22
Summary
> Simulation shows it is possible to cool the target by radiation
> The max. temperature for Model 1 is 690°C
> The max. temperature for Model 2 is 560°C
> Smaller target means lower temperature shorter heat conduction length
>Design has to be optimized to keep the target temperature below 500°C
> Increase cooling surface (more fins)
> The construction of the components (target, cooler) has to be studied
> The effects of the design on the temperature has to be studied as well as engineering aspects
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 23
>Thank your for your attention
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 24
Results – Path Model 1 – Average heating
> Temperature in the Target along 6 path
> For Model 1 (target height 50mm)
> Time 90300s
> index r same path but one the side of the target (4.362°)
vertical Temperature distribution horizontal Temperature distribution
Ti
Ti
Cu
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 25
Results – Path Model 2 – Average heating
> Temperature in the Target along 6 path
> For Model 2 (target height 40mm)
> Time 90300s
> index r same path but one the side of the target (4.362°)
vertical Temperature distribution horizontal Temperature distribution
Ti
Ti
Cu
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 26
> Temperature distribution in the target after 903s
Results – 3D plots– Average heating
Model 1 (Target 50mm)temperature range 496.27 °C – 22°C
Model 2 (Target 40mm)temperature range 570,36 °C – 22°C
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 27
> Temperature distribution in the Cu radiator after 903s
>Red arrow marks the direction of the beam
Model 1 (Target 50mm)temperature range 270 °C – 241.67°C
Model 2 (Target 40mm) temperature range 281.11 °C – 258.75°C
Results – 3D plots– Average heating
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 28
> Temperature distribution in the Cooler after 903s
>Red arrow marks the direction of the beam
Results – 3D plots– Average heating
Model 1 (Target 50mm)temperature range 92.613 °C – 22°C
Model 2 (Target 40mm)temperature range 95.541 °C – 22°C
Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 | Page 29