Technical Design Report Super Fragment Separator
Technical Design Report Super Fragment Separator
Technical Design Report Super Fragment Separator
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dE/dV [kJ/cm 3 ]<br />
3<br />
2<br />
1<br />
DRAFT<br />
including fragmentation<br />
incl. frag. and inclination<br />
0<br />
0 1 2 3 4 5 6<br />
z [cm] graphite<br />
Figure 2.4.107: FLUKA [43] simulation of the energy deposition of a 740 MeV/u 238 U beam with intensity<br />
10 12 per spill in graphite (ρ = 1.84 g/cm 3 ) with a round Gaussian beam spot size with σ� = 1 cm. The ratio of<br />
dE/dV at the entrance compared to the peak is only 3.1 compared to 6.9 [45] without nuclear reactions. An<br />
inclined entrance with slope 0.1 further reduces this ratio to only 1.8.<br />
Table 2.4.25: Specific energy deposition at an energy of 740 MeV/u at the entrance of the beam catcher,,<br />
maximum energy deposition in the Bragg peak including the fragmentation process, initial temperature (Ti),<br />
the resulting maximum temperature (∆T) and pressure rise (∆P) for one spill of a fast extracted uranium<br />
beam at a maximum energy density dumped on a spot size of σx*σy = 1.7cm 2 corresponding to the minimum<br />
spot size resulting from Figure 2.4.106. The specific heat, thermal expansion coefficient and bulk modulus<br />
for the calculation were taken from refs. [46,76].<br />
Intensity<br />
per spill<br />
Material<br />
dE/d(ρx)<br />
[MeV/mg<br />
cm 2 ]<br />
dE/d(ρx)eff<br />
[MeV/mg cm 2 ]<br />
in Bragg peak<br />
Ti<br />
[K]<br />
∆T<br />
[K]<br />
∆P<br />
[MPa]<br />
6x10 11 Li 18.0 36 490 88 230<br />
6x10 11 Be 17.6 36 293 163 720<br />
6x10 11 C (graphite 1 ) 19.4 59 773 279 25<br />
10 10 Al 17.5 70 300 11.4 60<br />
10 10 H2O 22.1 46 300 1.7 6.6<br />
The pressure rise of 720 MPa exceeds the yield strength of beryllium. Beryllium can therefore not<br />
be used. As a consequence this rules out a solution of liquid lithium with a beryllium entrance<br />
window. Lithium cannot be used in combination with carbon due to the chemical reactions. Only a<br />
windowless lithium beam catcher could in principle satisfy the requirements. Considering the low<br />
density of lithium of 0.54 g/cm 3 the catcher would be about 50 cm long, at least 20 cm wide resulting<br />
in a required flow of about 1 m 3 /s of liquid lithium that would have to be pumped. Such a<br />
realization would entail many technical problems and limits.<br />
1 Values based on SGL carbon group grade R 6650.<br />
115