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ESA Document - Emits - ESA

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s<br />

HMM<br />

Assessment Study<br />

Report: CDF-20(A)<br />

February 2004<br />

page 241 of 422<br />

• radiative foils are parallel. A correlation factor is considered to fit experimental data (20<br />

layers). The variation of the efficiency at cryogenic temperatures is assumed close to zero<br />

• parasitic heat transfers through piping, rings and other structural elements are provisioned to<br />

5W per default (sensitivity to the design and the temperature of elements)<br />

• antireflective external layer (requirement for visiting vehicles) is imposed with betacloth<br />

Hydrogen heat loss [W]<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

1.0E-<br />

04<br />

2.0E-<br />

04<br />

3.0E-<br />

04<br />

4.0E-<br />

04<br />

5.0E-<br />

04<br />

6.0E-<br />

04<br />

7.0E-<br />

04<br />

equivalent emissivity<br />

8.0E-<br />

04<br />

9.0E-<br />

04<br />

1.0E-<br />

03<br />

180<br />

170<br />

160<br />

150<br />

140<br />

130<br />

120<br />

110<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

boil off [kg/mth]<br />

Oxygen heat loss [W]<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

Figure 3-77: Heat loss<br />

5<br />

0<br />

1.0E-04 6.0E-04 1.1E-03 1.6E-03 2.1E-03 2.6E-03<br />

equivalent emissivity<br />

Therefore, considering the here above geometry, Hydrogen Oxygen<br />

maintaining boil-off below 70 kg/mth 430 kg/mth<br />

requires at least an MLI equivalent efficiency of 3.6E-4 2.2E-3<br />

and leaves a residual heat loss of 11 W 33W<br />

Table 3-69: Requirements<br />

Constrained by the attachment points (compression loads), MLI performance (ratio efficiency /<br />

mass) degrades beyond a certain thickness (40-50 layers). A solution is to have different<br />

supporting structures. The equivalent efficiency for Double Aluminized Kapton (DAK) and<br />

Double Goldenized Kapton (DGK) is indicated in Figure 3-78. To meet the mentioned<br />

requirement, 190 of DGK (320 layers of DAK), interspaced with Dacron would be needed.<br />

equivalent efficiency<br />

4.6E-03<br />

4.1E-03<br />

3.6E-03<br />

3.1E-03<br />

2.6E-03<br />

2.1E-03<br />

1.6E-03<br />

1.1E-03<br />

6.0E-04<br />

1.0E-04<br />

20 50 80 110 140 170 200 230 260 290 320<br />

number of layers<br />

DAK DGK<br />

Hydrogen heat loss [W]<br />

50.00<br />

40.00<br />

30.00<br />

20.00<br />

10.00<br />

500<br />

475<br />

450<br />

425<br />

400<br />

375<br />

350<br />

325<br />

300<br />

275<br />

250<br />

225<br />

200<br />

175<br />

150<br />

125<br />

100<br />

75<br />

50<br />

25<br />

0<br />

0.00<br />

20 50 80 110 140 170 200 230 260 290 320<br />

number of layers<br />

DAK DGK sun shade - DAK sun shade - DGK<br />

Figure 3-78; Equivalent efficiency and heat looses as a function of the number of layers<br />

boil off [kg/mth]

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