Norbert Tesch , A. Leuschner, M. Schmitz, A. Schwarz
16
Tesch (DESY) – Design Studies for an 18 MW Beam Dump at TESLA – ICRS 10 / RPS 2004 – Madeira – May 2004 1 Norbert Tesch , A. Leuschner, M. Schmitz, A. Schwarz Deutsches Elektronen-Synchrotron (DESY), Hamburg, Germany ICRS 10 / RPS 2004 – Madeira – 13 th May 2004 A. Introduction B. Thermal Aspects C. Radiolysis and Pressure Waves D. Shielding and Activation E. New Idea: Gas Dump Design Studies for an 18 MW Beam Design Studies for an 18 MW Beam Dump at the future e Dump at the future e + + e e - - Linear Linear Collider TESLA Collider TESLA
description
Design Studies for an 18 MW Beam Dump at the future e + e - Linear Collider TESLA. Norbert Tesch , A. Leuschner, M. Schmitz, A. Schwarz Deutsches Elektronen-Synchrotron (DESY), Hamburg, Germany ICRS 10 / RPS 2004 – Madeira – 13 th May 2004. A. Introduction. B. Thermal Aspects. - PowerPoint PPT Presentation
Transcript of Norbert Tesch , A. Leuschner, M. Schmitz, A. Schwarz
TESLA Beam Dump*
Deutsches Elektronen-Synchrotron (DESY), Hamburg, Germany
ICRS 10 / RPS 2004 – Madeira – 13th May 2004
A. Introduction
D. Shielding and Activation
E. New Idea: Gas Dump
*
18 MW
*
A.2 Water Beam Dump
Problem: How to dump 18 MW? Solid, fluid or gas based beam dump?
Solid dump: graphite-copper-water dump with heat conduction from copper to water
Even with a fast sweeping system (needed to distribute the energy) the solid option was
not practicable for the given beam power in terms of heat extraction
Therefore the base line design was the fluid (water) dump option !
Thermal Aspects
Heat extraction
external / internal
The basic parameters of the water beam dump
Cylindrical H2O volume with L=10 m, Ø=1.5 m and p=10 bar Tboil=180°C
Fast (within bunch train) circular sweep with Rfast= 8 cm needed to avoid local boiling
Not considered here: beam window (vacuum/water, huge design effort!!!) and beam pipe
*
A.3 Schematic Layout of Water Beam Dump
*
Scheme of Water System
1% to 10% of
Water flow of 140 kg/s needed to remove 18 MW
Main piping DN 350mm
B.1 External Heat Extraction
Recombination system should be directly in return pipe !
*
B.2.1 Internal Heat Extraction - Introduction
Tinst : instantaneous temperature rise caused by energy deposition of 1 bunch train,
dE/dV(r,z) = c Tinst(r,z), thermal diffusion within 1ms only 10m in water
Teq : temperature rise assuming a time independent heat source S, with average power
and spatial distribution given by subsequent bunch trains, S(r,z) = 4Hz dE/dV(r,z)
conservative estimation for the temperature at a given position =(r,,z):
T() T0 + Teq() + Tinst() ; with T0 = water inlet temp. (50°C)
time
temperature
under the given external water mass flow of 140kg/s,
create a suitable water velocity field inside the dump vessel, in order to:
keep T() well below boiling point (180°C) at any position, i.e minimize Teq()
Heating Process
Task
T0
*
radial power density @ z=300cm
longitudinal power density
Tinst(r,z) = 1/(c ) dE/dV(r,z)
1 bunch train in water, 6.8 1013 e- @ 400GeV
x= y= 0.55mm and fast sweep Rfast= 8cm
4Hz bunch train repetition:
(dP/dz)max 50kW/cm @ z 300cm
0.0735490973
0.2329008907
0.4259191369
0.653098931
0.8553795776
1.094393515
1.4449894646
1.7310167881
1.9344732851
2.1602640629
2.4739891954
2.7798753253
3.1526267714
3.5245805647
4.1585220738
4.9038324292
5.5379664752
6.2168240934
6.7848629708
7.6175850806
8.405968692
9.2805675784
10.3302306448
10.9447534318
11.5559962152
12.6070689268
13.39462738
14.5334831672
16.2842074827
18.0366164961
19.5244357949
20.7494518466
21.4949574895
22.0970753988
22.1085726025
22.7587697274
22.10882015
21.6258413263
20.3122500471
19.917554895
18.124255169
16.5471235014
15.0579261884
13.5698772205
12.8710438985
12.0822064502
11.2065554871
10.7695517255
9.8065921528
8.9743651378
8.0552627213
7.5290318574
7.1783808973
6.370083469
5.6045567387
4.9255065835
4.4422389545
4.0055652562
3.5447694344
3.2834968556
2.8453103674
2.6702420616
2.4515256397
2.1013683993
1.7335747784
1.505782992
1.2607385237
1.0070230185
0.7705326898
0.5559365577
0.4005372719
0.2757761087
0.1540982864
0.0819175763
0.0511323006
0.0322224261
0.0262668471
0.0158478501
0.011644632
0.0081244385
0.0060855414
0.005751765
0.0049813423
dE_in_z-bin_300cm-310cm
dE/dm [J/g] for 1 bunchtrain with 6.84E13 electrons, 300cm<z<310cm
400GeV, sigma_x=sigma_y=0.55mm, R_sweep=8cm, cylindrical water absorber L=10m and R=75cm
dE_ges
dE/dm [J/g] for 1 bunchtrain with 6.84E13 electrons
400GeV, sigma_x=sigma_y=0.55mm, R_sweep=8cm, cylindrical water absorber L=10m and R=75cm
dE/dm
r
dr
z
dz
dE
dE/dm [GeV/g] for 1 electron
400GeV, sigma_x=sigma_y=0.55mm, R_sweep=8cm, cylindrical water absorber L=10m and R=75cm
dE/dm
r
dr
z
dz
[GeV/g]
[cm]
[cm]
[cm]
[cm]
5.698E-09
0.00
1.00
0.00
10.00
2.906E-08
0.00
1.00
10.00
10.00
5.921E-08
0.00
1.00
20.00
10.00
8.308E-08
0.00
1.00
30.00
10.00
2.543E-07
0.00
1.00
40.00
10.00
2.769E-06
0.00
1.00
50.00
10.00
3.661E-06
0.00
1.00
60.00
10.00
5.889E-06
0.00
1.00
70.00
10.00
8.181E-06
0.00
1.00
80.00
10.00
1.697E-05
0.00
1.00
90.00
10.00
3.129E-05
0.00
1.00
100.00
10.00
3.724E-05
0.00
1.00
110.00
10.00
3.374E-05
0.00
1.00
120.00
10.00
4.074E-05
0.00
1.00
130.00
10.00
6.398E-05
0.00
1.00
140.00
10.00
1.035E-04
0.00
1.00
150.00
10.00
1.028E-04
0.00
1.00
160.00
10.00
1.261E-04
0.00
1.00
170.00
10.00
1.802E-04
0.00
1.00
180.00
10.00
2.470E-04
0.00
1.00
190.00
10.00
1.935E-04
0.00
1.00
200.00
10.00
2.562E-04
0.00
1.00
210.00
10.00
2.833E-04
0.00
1.00
220.00
10.00
3.123E-04
0.00
1.00
230.00
10.00
3.661E-04
0.00
1.00
240.00
10.00
4.074E-04
0.00
1.00
250.00
10.00
4.265E-04
0.00
1.00
260.00
10.00
4.361E-04
0.00
1.00
270.00
10.00
5.220E-04
0.00
1.00
280.00
10.00
4.361E-04
0.00
1.00
290.00
10.00
5.348E-04
0.00
1.00
300.00
10.00
5.730E-04
0.00
1.00
310.00
10.00
6.048E-04
0.00
1.00
320.00
10.00
5.507E-04
0.00
1.00
330.00
10.00
5.666E-04
0.00
1.00
340.00
10.00
6.143E-04
0.00
1.00
350.00
10.00
5.825E-04
0.00
1.00
360.00
10.00
5.666E-04
0.00
1.00
370.00
10.00
5.188E-04
0.00
1.00
380.00
10.00
4.997E-04
0.00
1.00
390.00
10.00
5.539E-04
0.00
1.00
400.00
10.00
5.379E-04
0.00
1.00
410.00
10.00
5.666E-04
0.00
1.00
420.00
10.00
4.615E-04
0.00
1.00
430.00
10.00
4.870E-04
0.00
1.00
440.00
10.00
4.584E-04
0.00
1.00
450.00
10.00
4.870E-04
0.00
1.00
460.00
10.00
4.552E-04
0.00
1.00
470.00
10.00
4.138E-04
0.00
1.00
480.00
10.00
3.724E-04
0.00
1.00
490.00
10.00
3.342E-04
0.00
1.00
500.00
10.00
3.046E-04
0.00
1.00
510.00
10.00
2.932E-04
0.00
1.00
520.00
10.00
3.310E-04
0.00
1.00
530.00
10.00
2.766E-04
0.00
1.00
540.00
10.00
2.200E-04
0.00
1.00
550.00
10.00
2.995E-04
0.00
1.00
560.00
10.00
2.371E-04
0.00
1.00
570.00
10.00
1.929E-04
0.00
1.00
580.00
10.00
2.114E-04
0.00
1.00
590.00
10.00
1.668E-04
0.00
1.00
600.00
10.00
1.862E-04
0.00
1.00
610.00
10.00
1.385E-04
0.00
1.00
620.00
10.00
1.588E-04
0.00
1.00
630.00
10.00
1.216E-04
0.00
1.00
640.00
10.00
8.658E-05
0.00
1.00
650.00
10.00
8.913E-05
0.00
1.00
660.00
10.00
9.135E-05
0.00
1.00
670.00
10.00
7.480E-05
0.00
1.00
680.00
10.00
8.881E-05
0.00
1.00
690.00
10.00
8.403E-05
0.00
1.00
700.00
10.00
5.698E-05
0.00
1.00
710.00
10.00
8.149E-05
0.00
1.00
720.00
10.00
5.348E-05
0.00
1.00
730.00
10.00
6.271E-05
0.00
1.00
740.00
10.00
4.011E-05
0.00
1.00
750.00
10.00
4.902E-05
0.00
1.00
760.00
10.00
3.788E-05
0.00
1.00
770.00
10.00
2.667E-05
0.00
1.00
780.00
10.00
3.342E-05
0.00
1.00
790.00
10.00
3.148E-05
0.00
1.00
800.00
10.00
1.681E-05
0.00
1.00
810.00
10.00
2.340E-05
0.00
1.00
820.00
10.00
1.932E-05
0.00
1.00
830.00
10.00
3.501E-06
0.00
1.00
840.00
10.00
5.316E-06
0.00
1.00
850.00
10.00
7.035E-06
0.00
1.00
860.00
10.00
1.547E-05
0.00
1.00
870.00
10.00
8.690E-06
0.00
1.00
880.00
10.00
2.114E-05
0.00
1.00
890.00
10.00
7.639E-06
0.00
1.00
900.00
10.00
9.135E-06
0.00
1.00
910.00
10.00
9.486E-06
0.00
1.00
920.00
10.00
2.082E-06
0.00
1.00
930.00
10.00
2.696E-07
0.00
1.00
940.00
10.00
2.040E-06
0.00
1.00
950.00
10.00
1.802E-06
0.00
1.00
960.00
10.00
3.374E-07
0.00
1.00
970.00
10.00
9.549E-07
0.00
1.00
980.00
10.00
3.597E-11
0.00
1.00
990.00
10.00
4.234E-09
1.00
1.00
0.00
10.00
2.621E-06
1.00
1.00
10.00
10.00
3.077E-08
1.00
1.00
20.00
10.00
5.475E-08
1.00
1.00
30.00
10.00
8.446E-07
1.00
1.00
40.00
10.00
1.273E-06
1.00
1.00
50.00
10.00
3.141E-06
1.00
1.00
60.00
10.00
8.043E-06
1.00
1.00
70.00
10.00
1.910E-05
1.00
1.00
80.00
10.00
1.729E-05
1.00
1.00
90.00
10.00
3.172E-05
1.00
1.00
100.00
10.00
3.417E-05
1.00
1.00
110.00
10.00
4.870E-05
1.00
1.00
120.00
10.00
6.738E-05
1.00
1.00
130.00
10.00
8.817E-05
1.00
1.00
140.00
10.00
1.046E-04
1.00
1.00
150.00
10.00
1.401E-04
1.00
1.00
160.00
10.00
1.623E-04
1.00
1.00
170.00
10.00
1.783E-04
1.00
1.00
180.00
10.00
2.154E-04
1.00
1.00
190.00
10.00
2.440E-04
1.00
1.00
200.00
10.00
2.950E-04
1.00
1.00
210.00
10.00
3.289E-04
1.00
1.00
220.00
10.00
3.501E-04
1.00
1.00
230.00
10.00
4.106E-04
1.00
1.00
240.00
10.00
4.000E-04
1.00
1.00
250.00
10.00
4.499E-04
1.00
1.00
260.00
10.00
4.361E-04
1.00
1.00
270.00
10.00
5.072E-04
1.00
1.00
280.00
10.00
5.263E-04
1.00
1.00
290.00
10.00
5.645E-04
1.00
1.00
300.00
10.00
5.772E-04
1.00
1.00
310.00
10.00
6.165E-04
1.00
1.00
320.00
10.00
5.910E-04
1.00
1.00
330.00
10.00
5.995E-04
1.00
1.00
340.00
10.00
6.218E-04
1.00
1.00
350.00
10.00
6.112E-04
1.00
1.00
360.00
10.00
5.539E-04
1.00
1.00
370.00
10.00
5.634E-04
1.00
1.00
380.00
10.00
5.899E-04
1.00
1.00
390.00
10.00
5.836E-04
1.00
1.00
400.00
10.00
5.623E-04
1.00
1.00
410.00
10.00
5.719E-04
1.00
1.00
420.00
10.00
5.029E-04
1.00
1.00
430.00
10.00
4.987E-04
1.00
1.00
440.00
10.00
4.785E-04
1.00
1.00
450.00
10.00
4.244E-04
1.00
1.00
460.00
10.00
4.074E-04
1.00
1.00
470.00
10.00
4.414E-04
1.00
1.00
480.00
10.00
4.064E-04
1.00
1.00
490.00
10.00
3.724E-04
1.00
1.00
500.00
10.00
3.374E-04
1.00
1.00
510.00
10.00
3.438E-04
1.00
1.00
520.00
10.00
3.204E-04
1.00
1.00
530.00
10.00
2.971E-04
1.00
1.00
540.00
10.00
2.642E-04
1.00
1.00
550.00
10.00
2.578E-04
1.00
1.00
560.00
10.00
2.334E-04
1.00
1.00
570.00
10.00
1.910E-04
1.00
1.00
580.00
10.00
2.058E-04
1.00
1.00
590.00
10.00
1.613E-04
1.00
1.00
600.00
10.00
1.783E-04
1.00
1.00
610.00
10.00
1.666E-04
1.00
1.00
620.00
10.00
1.241E-04
1.00
1.00
630.00
10.00
1.178E-04
1.00
1.00
640.00
10.00
9.220E-05
1.00
1.00
650.00
10.00
1.018E-04
1.00
1.00
660.00
10.00
1.072E-04
1.00
1.00
670.00
10.00
9.199E-05
1.00
1.00
680.00
10.00
6.833E-05
1.00
1.00
690.00
10.00
8.053E-05
1.00
1.00
700.00
10.00
7.692E-05
1.00
1.00
710.00
10.00
5.942E-05
1.00
1.00
720.00
10.00
5.963E-05
1.00
1.00
730.00
10.00
5.263E-05
1.00
1.00
740.00
10.00
4.244E-05
1.00
1.00
750.00
10.00
4.775E-05
1.00
1.00
760.00
10.00
4.170E-05
1.00
1.00
770.00
10.00
3.406E-05
1.00
1.00
780.00
10.00
2.355E-05
1.00
1.00
790.00
10.00
2.462E-05
1.00
1.00
800.00
10.00
3.608E-05
1.00
1.00
810.00
10.00
2.281E-05
1.00
1.00
820.00
10.00
1.846E-05
1.00
1.00
830.00
10.00
1.263E-05
1.00
1.00
840.00
10.00
1.485E-05
1.00
1.00
850.00
10.00
9.634E-06
1.00
1.00
860.00
10.00
1.093E-05
1.00
1.00
870.00
10.00
1.464E-05
1.00
1.00
880.00
10.00
1.273E-05
1.00
1.00
890.00
10.00
7.236E-06
1.00
1.00
900.00
10.00
5.846E-06
1.00
1.00
910.00
10.00
3.703E-06
1.00
1.00
920.00
10.00
1.995E-06
1.00
1.00
930.00
10.00
3.968E-06
1.00
1.00
940.00
10.00
3.119E-06
1.00
1.00
950.00
10.00
3.809E-06
1.00
1.00
960.00
10.00
4.287E-06
1.00
1.00
970.00
10.00
2.483E-06
1.00
1.00
980.00
10.00
3.639E-06
1.00
1.00
990.00
10.00
2.215E-08
2.00
1.00
0.00
10.00
1.471E-08
2.00
1.00
10.00
10.00
3.616E-08
2.00
1.00
20.00
10.00
2.311E-06
2.00
1.00
30.00
10.00
9.995E-07
2.00
1.00
40.00
10.00
2.101E-06
2.00
1.00
50.00
10.00
7.448E-06
2.00
1.00
60.00
10.00
9.104E-06
2.00
1.00
70.00
10.00
1.706E-05
2.00
1.00
80.00
10.00
2.795E-05
2.00
1.00
90.00
10.00
3.425E-05
2.00
1.00
100.00
10.00
5.239E-05
2.00
1.00
110.00
10.00
5.921E-05
2.00
1.00
120.00
10.00
7.958E-05
2.00
1.00
130.00
10.00
1.050E-04
2.00
1.00
140.00
10.00
1.381E-04
2.00
1.00
150.00
10.00
1.604E-04
2.00
1.00
160.00
10.00
1.706E-04
2.00
1.00
170.00
10.00
2.152E-04
2.00
1.00
180.00
10.00
2.546E-04
2.00
1.00
190.00
10.00
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2.173E-05
6.20
0.20
830.00
10.00
3.234E-05
6.20
0.20
840.00
10.00
2.312E-05
6.20
0.20
850.00
10.00
2.072E-05
6.20
0.20
860.00
10.00
2.122E-05
6.20
0.20
870.00
10.00
1.566E-05
6.20
0.20
880.00
10.00
1.017E-05
6.20
0.20
890.00
10.00
1.171E-05
6.20
0.20
900.00
10.00
6.088E-06
6.20
0.20
910.00
10.00
6.657E-06
6.20
0.20
920.00
10.00
8.375E-06
6.20
0.20
930.00
10.00
6.682E-06
6.20
0.20
940.00
10.00
6.455E-06
6.20
0.20
950.00
10.00
3.777E-06
6.20
0.20
960.00
10.00
2.817E-06
6.20
0.20
970.00
10.00
3.196E-06
6.20
0.20
980.00
10.00
2.210E-06
6.20
0.20
990.00
10.00
4.787E-09
6.40
0.20
0.00
10.00
1.506E-06
6.40
0.20
10.00
10.00
2.069E-06
6.40
0.20
20.00
10.00
5.840E-06
6.40
0.20
30.00
10.00
2.057E-05
6.40
0.20
40.00
10.00
3.195E-05
6.40
0.20
50.00
10.00
5.203E-05
6.40
0.20
60.00
10.00
8.203E-05
6.40
0.20
70.00
10.00
1.218E-04
6.40
0.20
80.00
10.00
1.812E-04
6.40
0.20
90.00
10.00
2.424E-04
6.40
0.20
100.00
10.00
3.306E-04
6.40
0.20
110.00
10.00
3.954E-04
6.40
0.20
120.00
10.00
4.787E-04
6.40
0.20
130.00
10.00
6.415E-04
6.40
0.20
140.00
10.00
7.713E-04
6.40
0.20
150.00
10.00
8.741E-04
6.40
0.20
160.00
10.00
1.008E-03
6.40
0.20
170.00
10.00
1.166E-03
6.40
0.20
180.00
10.00
1.322E-03
6.40
0.20
190.00
10.00
1.530E-03
6.40
0.20
200.00
10.00
1.616E-03
6.40
0.20
210.00
10.00
1.738E-03
6.40
0.20
220.00
10.00
1.861E-03
6.40
0.20
230.00
10.00
1.996E-03
6.40
0.20
240.00
10.00
2.057E-03
6.40
0.20
250.00
10.00
2.130E-03
6.40
0.20
260.00
10.00
2.155E-03
6.40
0.20
270.00
10.00
2.240E-03
6.40
0.20
280.00
10.00
2.338E-03
6.40
0.20
290.00
10.00
2.326E-03
6.40
0.20
300.00
10.00
2.289E-03
6.40
0.20
310.00
10.00
2.289E-03
6.40
0.20
320.00
10.00
2.216E-03
6.40
0.20
330.00
10.00
2.142E-03
6.40
0.20
340.00
10.00
2.069E-03
6.40
0.20
350.00
10.00
2.069E-03
6.40
0.20
360.00
10.00
2.008E-03
6.40
0.20
370.00
10.00
1.934E-03
6.40
0.20
380.00
10.00
1.836E-03
6.40
0.20
390.00
10.00
1.800E-03
6.40
0.20
400.00
10.00
1.653E-03
6.40
0.20
410.00
10.00
1.616E-03
6.40
0.20
420.00
10.00
1.494E-03
6.40
0.20
430.00
10.00
1.432E-03
6.40
0.20
440.00
10.00
1.334E-03
6.40
0.20
450.00
10.00
1.285E-03
6.40
0.20
460.00
10.00
1.183E-03
6.40
0.20
470.00
10.00
1.110E-03
6.40
0.20
480.00
10.00
1.014E-03
6.40
0.20
490.00
10.00
9.415E-04
6.40
0.20
500.00
10.00
8.447E-04
6.40
0.20
510.00
10.00
7.799E-04
6.40
0.20
520.00
10.00
7.456E-04
6.40
0.20
530.00
10.00
6.684E-04
6.40
0.20
540.00
10.00
6.195E-04
6.40
0.20
550.00
10.00
5.668E-04
6.40
0.20
560.00
10.00
5.117E-04
6.40
0.20
570.00
10.00
4.934E-04
6.40
0.20
580.00
10.00
4.138E-04
6.40
0.20
590.00
10.00
3.856E-04
6.40
0.20
600.00
10.00
3.575E-04
6.40
0.20
610.00
10.00
3.024E-04
6.40
0.20
620.00
10.00
2.865E-04
6.40
0.20
630.00
10.00
2.730E-04
6.40
0.20
640.00
10.00
2.191E-04
6.40
0.20
650.00
10.00
1.959E-04
6.40
0.20
660.00
10.00
1.947E-04
6.40
0.20
670.00
10.00
1.665E-04
6.40
0.20
680.00
10.00
1.751E-04
6.40
0.20
690.00
10.00
1.371E-04
6.40
0.20
700.00
10.00
1.180E-04
6.40
0.20
710.00
10.00
1.175E-04
6.40
0.20
720.00
10.00
9.415E-05
6.40
0.20
730.00
10.00
7.811E-05
6.40
0.20
740.00
10.00
Deutsches Elektronen-Synchrotron (DESY), Hamburg, Germany
ICRS 10 / RPS 2004 – Madeira – 13th May 2004
A. Introduction
D. Shielding and Activation
E. New Idea: Gas Dump
*
18 MW
*
A.2 Water Beam Dump
Problem: How to dump 18 MW? Solid, fluid or gas based beam dump?
Solid dump: graphite-copper-water dump with heat conduction from copper to water
Even with a fast sweeping system (needed to distribute the energy) the solid option was
not practicable for the given beam power in terms of heat extraction
Therefore the base line design was the fluid (water) dump option !
Thermal Aspects
Heat extraction
external / internal
The basic parameters of the water beam dump
Cylindrical H2O volume with L=10 m, Ø=1.5 m and p=10 bar Tboil=180°C
Fast (within bunch train) circular sweep with Rfast= 8 cm needed to avoid local boiling
Not considered here: beam window (vacuum/water, huge design effort!!!) and beam pipe
*
A.3 Schematic Layout of Water Beam Dump
*
Scheme of Water System
1% to 10% of
Water flow of 140 kg/s needed to remove 18 MW
Main piping DN 350mm
B.1 External Heat Extraction
Recombination system should be directly in return pipe !
*
B.2.1 Internal Heat Extraction - Introduction
Tinst : instantaneous temperature rise caused by energy deposition of 1 bunch train,
dE/dV(r,z) = c Tinst(r,z), thermal diffusion within 1ms only 10m in water
Teq : temperature rise assuming a time independent heat source S, with average power
and spatial distribution given by subsequent bunch trains, S(r,z) = 4Hz dE/dV(r,z)
conservative estimation for the temperature at a given position =(r,,z):
T() T0 + Teq() + Tinst() ; with T0 = water inlet temp. (50°C)
time
temperature
under the given external water mass flow of 140kg/s,
create a suitable water velocity field inside the dump vessel, in order to:
keep T() well below boiling point (180°C) at any position, i.e minimize Teq()
Heating Process
Task
T0
*
radial power density @ z=300cm
longitudinal power density
Tinst(r,z) = 1/(c ) dE/dV(r,z)
1 bunch train in water, 6.8 1013 e- @ 400GeV
x= y= 0.55mm and fast sweep Rfast= 8cm
4Hz bunch train repetition:
(dP/dz)max 50kW/cm @ z 300cm
0.0735490973
0.2329008907
0.4259191369
0.653098931
0.8553795776
1.094393515
1.4449894646
1.7310167881
1.9344732851
2.1602640629
2.4739891954
2.7798753253
3.1526267714
3.5245805647
4.1585220738
4.9038324292
5.5379664752
6.2168240934
6.7848629708
7.6175850806
8.405968692
9.2805675784
10.3302306448
10.9447534318
11.5559962152
12.6070689268
13.39462738
14.5334831672
16.2842074827
18.0366164961
19.5244357949
20.7494518466
21.4949574895
22.0970753988
22.1085726025
22.7587697274
22.10882015
21.6258413263
20.3122500471
19.917554895
18.124255169
16.5471235014
15.0579261884
13.5698772205
12.8710438985
12.0822064502
11.2065554871
10.7695517255
9.8065921528
8.9743651378
8.0552627213
7.5290318574
7.1783808973
6.370083469
5.6045567387
4.9255065835
4.4422389545
4.0055652562
3.5447694344
3.2834968556
2.8453103674
2.6702420616
2.4515256397
2.1013683993
1.7335747784
1.505782992
1.2607385237
1.0070230185
0.7705326898
0.5559365577
0.4005372719
0.2757761087
0.1540982864
0.0819175763
0.0511323006
0.0322224261
0.0262668471
0.0158478501
0.011644632
0.0081244385
0.0060855414
0.005751765
0.0049813423
dE_in_z-bin_300cm-310cm
dE/dm [J/g] for 1 bunchtrain with 6.84E13 electrons, 300cm<z<310cm
400GeV, sigma_x=sigma_y=0.55mm, R_sweep=8cm, cylindrical water absorber L=10m and R=75cm
dE_ges
dE/dm [J/g] for 1 bunchtrain with 6.84E13 electrons
400GeV, sigma_x=sigma_y=0.55mm, R_sweep=8cm, cylindrical water absorber L=10m and R=75cm
dE/dm
r
dr
z
dz
dE
dE/dm [GeV/g] for 1 electron
400GeV, sigma_x=sigma_y=0.55mm, R_sweep=8cm, cylindrical water absorber L=10m and R=75cm
dE/dm
r
dr
z
dz
[GeV/g]
[cm]
[cm]
[cm]
[cm]
5.698E-09
0.00
1.00
0.00
10.00
2.906E-08
0.00
1.00
10.00
10.00
5.921E-08
0.00
1.00
20.00
10.00
8.308E-08
0.00
1.00
30.00
10.00
2.543E-07
0.00
1.00
40.00
10.00
2.769E-06
0.00
1.00
50.00
10.00
3.661E-06
0.00
1.00
60.00
10.00
5.889E-06
0.00
1.00
70.00
10.00
8.181E-06
0.00
1.00
80.00
10.00
1.697E-05
0.00
1.00
90.00
10.00
3.129E-05
0.00
1.00
100.00
10.00
3.724E-05
0.00
1.00
110.00
10.00
3.374E-05
0.00
1.00
120.00
10.00
4.074E-05
0.00
1.00
130.00
10.00
6.398E-05
0.00
1.00
140.00
10.00
1.035E-04
0.00
1.00
150.00
10.00
1.028E-04
0.00
1.00
160.00
10.00
1.261E-04
0.00
1.00
170.00
10.00
1.802E-04
0.00
1.00
180.00
10.00
2.470E-04
0.00
1.00
190.00
10.00
1.935E-04
0.00
1.00
200.00
10.00
2.562E-04
0.00
1.00
210.00
10.00
2.833E-04
0.00
1.00
220.00
10.00
3.123E-04
0.00
1.00
230.00
10.00
3.661E-04
0.00
1.00
240.00
10.00
4.074E-04
0.00
1.00
250.00
10.00
4.265E-04
0.00
1.00
260.00
10.00
4.361E-04
0.00
1.00
270.00
10.00
5.220E-04
0.00
1.00
280.00
10.00
4.361E-04
0.00
1.00
290.00
10.00
5.348E-04
0.00
1.00
300.00
10.00
5.730E-04
0.00
1.00
310.00
10.00
6.048E-04
0.00
1.00
320.00
10.00
5.507E-04
0.00
1.00
330.00
10.00
5.666E-04
0.00
1.00
340.00
10.00
6.143E-04
0.00
1.00
350.00
10.00
5.825E-04
0.00
1.00
360.00
10.00
5.666E-04
0.00
1.00
370.00
10.00
5.188E-04
0.00
1.00
380.00
10.00
4.997E-04
0.00
1.00
390.00
10.00
5.539E-04
0.00
1.00
400.00
10.00
5.379E-04
0.00
1.00
410.00
10.00
5.666E-04
0.00
1.00
420.00
10.00
4.615E-04
0.00
1.00
430.00
10.00
4.870E-04
0.00
1.00
440.00
10.00
4.584E-04
0.00
1.00
450.00
10.00
4.870E-04
0.00
1.00
460.00
10.00
4.552E-04
0.00
1.00
470.00
10.00
4.138E-04
0.00
1.00
480.00
10.00
3.724E-04
0.00
1.00
490.00
10.00
3.342E-04
0.00
1.00
500.00
10.00
3.046E-04
0.00
1.00
510.00
10.00
2.932E-04
0.00
1.00
520.00
10.00
3.310E-04
0.00
1.00
530.00
10.00
2.766E-04
0.00
1.00
540.00
10.00
2.200E-04
0.00
1.00
550.00
10.00
2.995E-04
0.00
1.00
560.00
10.00
2.371E-04
0.00
1.00
570.00
10.00
1.929E-04
0.00
1.00
580.00
10.00
2.114E-04
0.00
1.00
590.00
10.00
1.668E-04
0.00
1.00
600.00
10.00
1.862E-04
0.00
1.00
610.00
10.00
1.385E-04
0.00
1.00
620.00
10.00
1.588E-04
0.00
1.00
630.00
10.00
1.216E-04
0.00
1.00
640.00
10.00
8.658E-05
0.00
1.00
650.00
10.00
8.913E-05
0.00
1.00
660.00
10.00
9.135E-05
0.00
1.00
670.00
10.00
7.480E-05
0.00
1.00
680.00
10.00
8.881E-05
0.00
1.00
690.00
10.00
8.403E-05
0.00
1.00
700.00
10.00
5.698E-05
0.00
1.00
710.00
10.00
8.149E-05
0.00
1.00
720.00
10.00
5.348E-05
0.00
1.00
730.00
10.00
6.271E-05
0.00
1.00
740.00
10.00
4.011E-05
0.00
1.00
750.00
10.00
4.902E-05
0.00
1.00
760.00
10.00
3.788E-05
0.00
1.00
770.00
10.00
2.667E-05
0.00
1.00
780.00
10.00
3.342E-05
0.00
1.00
790.00
10.00
3.148E-05
0.00
1.00
800.00
10.00
1.681E-05
0.00
1.00
810.00
10.00
2.340E-05
0.00
1.00
820.00
10.00
1.932E-05
0.00
1.00
830.00
10.00
3.501E-06
0.00
1.00
840.00
10.00
5.316E-06
0.00
1.00
850.00
10.00
7.035E-06
0.00
1.00
860.00
10.00
1.547E-05
0.00
1.00
870.00
10.00
8.690E-06
0.00
1.00
880.00
10.00
2.114E-05
0.00
1.00
890.00
10.00
7.639E-06
0.00
1.00
900.00
10.00
9.135E-06
0.00
1.00
910.00
10.00
9.486E-06
0.00
1.00
920.00
10.00
2.082E-06
0.00
1.00
930.00
10.00
2.696E-07
0.00
1.00
940.00
10.00
2.040E-06
0.00
1.00
950.00
10.00
1.802E-06
0.00
1.00
960.00
10.00
3.374E-07
0.00
1.00
970.00
10.00
9.549E-07
0.00
1.00
980.00
10.00
3.597E-11
0.00
1.00
990.00
10.00
4.234E-09
1.00
1.00
0.00
10.00
2.621E-06
1.00
1.00
10.00
10.00
3.077E-08
1.00
1.00
20.00
10.00
5.475E-08
1.00
1.00
30.00
10.00
8.446E-07
1.00
1.00
40.00
10.00
1.273E-06
1.00
1.00
50.00
10.00
3.141E-06
1.00
1.00
60.00
10.00
8.043E-06
1.00
1.00
70.00
10.00
1.910E-05
1.00
1.00
80.00
10.00
1.729E-05
1.00
1.00
90.00
10.00
3.172E-05
1.00
1.00
100.00
10.00
3.417E-05
1.00
1.00
110.00
10.00
4.870E-05
1.00
1.00
120.00
10.00
6.738E-05
1.00
1.00
130.00
10.00
8.817E-05
1.00
1.00
140.00
10.00
1.046E-04
1.00
1.00
150.00
10.00
1.401E-04
1.00
1.00
160.00
10.00
1.623E-04
1.00
1.00
170.00
10.00
1.783E-04
1.00
1.00
180.00
10.00
2.154E-04
1.00
1.00
190.00
10.00
2.440E-04
1.00
1.00
200.00
10.00
2.950E-04
1.00
1.00
210.00
10.00
3.289E-04
1.00
1.00
220.00
10.00
3.501E-04
1.00
1.00
230.00
10.00
4.106E-04
1.00
1.00
240.00
10.00
4.000E-04
1.00
1.00
250.00
10.00
4.499E-04
1.00
1.00
260.00
10.00
4.361E-04
1.00
1.00
270.00
10.00
5.072E-04
1.00
1.00
280.00
10.00
5.263E-04
1.00
1.00
290.00
10.00
5.645E-04
1.00
1.00
300.00
10.00
5.772E-04
1.00
1.00
310.00
10.00
6.165E-04
1.00
1.00
320.00
10.00
5.910E-04
1.00
1.00
330.00
10.00
5.995E-04
1.00
1.00
340.00
10.00
6.218E-04
1.00
1.00
350.00
10.00
6.112E-04
1.00
1.00
360.00
10.00
5.539E-04
1.00
1.00
370.00
10.00
5.634E-04
1.00
1.00
380.00
10.00
5.899E-04
1.00
1.00
390.00
10.00
5.836E-04
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