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SR Heating calculation

This study calculates temperature rises on a beam pipe due to SR influence with single and double Be-pipe configurations. Results show the importance of cooling on maximum temperature.

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SR Heating calculation

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  1. Mar. 18, '09 SR Heating calculation KEK H. Yamaoka T. Kohriki Contents - Introduction - Calculations Configuration-A Configuration-B - Conclusion

  2. Be:t0.35mm Gap 0.5mm Au: t5mm Be:t0.5mm Au: t0.01mm O.D. 32.7 I.D. 29.9 I.D. 32.0 O.D. 31.0 Introduction Temperature on the B.P. due to an influence of SR has been calculated. Configuration-A (Single Be-pipe) Configuration-B (Double Be-pipe tube)

  3. Distribution of heat load 50W 18W 35W j=±p 40W 17W 18W 35W j=0 25W 60W 50W 35W

  4. Configuration of B.P. (@Single Be-pipe) 2. 1. 3. 4.

  5. Other assumptions Outer surface of the B.P. is cooled by liquid. Heat convection - Outer surface of the B.P. 3000W/m2・℃, 25℃ Boundaries are ideally connected. - Inside of the B.P.  0W/m2・℃ 48 58 300 Au Be Thermal conductivity (W/m・℃): 319 216 Specific heat (J/kg・℃): 128 1925

  6. Results (@Single Be-pipe) If no cooling were done…, Outer surface of the B.P.  3000W/m2・℃, 25℃ Max. 700degC Max. 80℃ Max. temp. vs. Cooling ability.

  7. Calculation-B (Double Be-tube) Be:t0.35mm Au: t5mm Be:t0.5mm Au: t0.01mm Gap 0.5mm I.D. 29.9 O.D. 32.7 I.D. 32.0 O.D. 31.0 2. In the Be-gap. 3000W/m2・℃、25℃ 1. Outer surface of the Au-Beam Pipe. 3000W/m2・℃、25℃ 3. Outer surface of Be-gap. 5W/m2・℃、25℃ 1. Outer surface of the Au-Beam Pipe. 3000W/m2・℃、25℃ 4. Inside of the B.P.  0W/m2・℃ Assumption: Cooling position  (Be-Gap + Outer surface of the Au-pipe)

  8. Results (Double Be-tube) Heat convection - Outer surface of the Au-B.P. 3000W/m2・℃、25℃ - Inside of Be-gap. 3000W/m2・℃、25℃ - Inside of the B.P.  0W/m2・℃ Max. temp. vs. Cooling ability. Max. 87℃

  9. Be:t0.35mm Gap 0.5mm Au: t5mm Be:t0.5mm Au: t0.01mm O.D. 32.7 I.D. 29.9 I.D. 32.0 O.D. 31.0 Conclusion Temperature rise on the B.P. has been calculated with two kinds of configurations. @Configuration-B (Double Be-pipe) Max. temp. vs. Cooling ability. (Double Be-pipe) In case of 3000W/m2C, 25degC; - The maximum temperature is appeared on the SR mask.  87degC - Temperature at other SR hit positions are around 30-35degC.  5-10degC of temperature rise.

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