ITS Upgrade Cooling progress Enrico DA RIVA ENCVPJ

Light structure thermal studies Overview § Two configurations concerning the wrapping of the Carbon

Light structure thermal studies Overview § For each geometrical configuration, thermal studies were conducted

Light structure thermal studies Boundary conditions § Imposed heat transfer coefficient in the cooling

Light structure thermal studies Low-pitch cases configuration (1 A and 1 B) CF wrapping

1. Low-pitch configuration A. No plate case: temperature map [°C] E. Da Riva/M. Gomez

1. Low-pitch configuration A. No plate case: temperature map [°C] q’= 0. 3 W

1. Low-pitch configuration B. Thornel K 1100 plate case: temperature map [°C] E. Da

1. Low-pitch configuration B. Thornel K 1100 plate case: temperature map [°C] q’= 0.

2. High-pitch configuration High-pitch cases configuration (2 A and 2 B) E. Da Riva/M.

2. High-pitch configuration A. No plate case: temperature map [°C] E. Da Riva/M. Gomez

2. High-pitch configuration A. No plate case: temperature map [°C] q’= 0. 3 W

2. High-pitch configuration B. Thornel K 1100 plate case: temperature map [°C] E. Da

2. High-pitch configuration B. Thornel K 1100 plate case: temperature map [°C] q’= 0.

Conclusions § The CF strip, oriented with the fiber along the Kapton pipe, provides

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ITS Upgrade: Cooling progress Enrico DA RIVA (EN-CV-PJ) Manuel GOMEZ MARZOA (EN-CV-PJ) 3 rd June 2012 E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 1

Light structure thermal studies Overview § Two configurations concerning the wrapping of the Carbon Fiber around the pipes were built: 1. A low-pitch configuration, where a carbon fiber strip was set along the pipes to give mechanical strength (also helps from thermal point of view) Ø The CF is wrapped over the pipe and the CF strip with a ~40 deg angle. 2. A high-pitch configuration, with the Cfwarpped over the pipe (with no extra CF strip within). Ø CF wrapped over the pipe with a ~24 deg angle. E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 2

Light structure thermal studies Overview § For each geometrical configuration, thermal studies were conducted for two cases: A. Silicon glued directly to the CF conforming the mechanical structure. B. A high-conductivity Thornel K 1100 carbon fiber plate is glued to the mechanical structure and the silicon is glued to the plate. § Materials: Ø Carbon Fiber: v K 13 D-2 U CF: k. Fiber = 450 W m-1 K-1 ; k. Transv = 1. 2 W m-1 K-1 v Plate (second case): Thornel K 1100 CF: k. Fiber = 550 W m-1 K-1 ; k. Transv = 1. 2 W m-1 K-1 Ø Glue: k = 1 W m-1 K-1 Ø Pipe (Kapton): k= 0. 12 W m-1 K-1 Ø Silicon: k = 150 W m-1 K-1 E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 3

Light structure thermal studies Boundary conditions § Imposed heat transfer coefficient in the cooling pipe, supposing water flowing inside at 0. 5 m s-1 (laminar flow) and 15 °C. § Considering, for the stave: d_i [mm] 1. 432 m [g/s] m [kg/s] L [m] 0. 40 0. 80 1. 61 2. 41 3. 22 0. 00040 0. 00080 0. 00161 0. 00241 0. 00322 0. 500 q w L 0. 5 W cm-2 16 mm 250 mm Vel [m/s] ΔT in-out Re Δp lam [bar] 0. 25 0. 50 1. 00 1. 50 2. 00 11. 9 5. 9 3. 0 2. 0 1. 5 314 629 1258 1887 2515 0. 02 0. 04 0. 09 0. 13 0. 18 Δp Pethukov [bar] 0. 01 0. 04 0. 11 0. 21 0. 34 Q= 20 W HTC (lam) f LAM A pipe ΔT wallwater (LAM) 1646 1646 0. 204 0. 102 0. 051 0. 034 0. 025 0. 00224938 5. 4 5. 4 § Correlations predict a HTC of 1646 W m-2 K-1 § Rest of surfaces: adiabatic/connected § Symmetry considered E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 4

Light structure thermal studies Low-pitch cases configuration (1 A and 1 B) CF wrapping CF strip Thornel Plate (case B) Glue Silicon E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 5

1. Low-pitch configuration A. No plate case: temperature map [°C] E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 q’= 0. 3 W cm-2 6

1. Low-pitch configuration A. No plate case: temperature map [°C] q’= 0. 3 W cm-2 § Hotspot in the silicon E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 7

1. Low-pitch configuration B. Thornel K 1100 plate case: temperature map [°C] E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 q’= 0. 3 W cm-2 8

1. Low-pitch configuration B. Thornel K 1100 plate case: temperature map [°C] q’= 0. 3 W cm-2 § Hotspot in the silicon E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 9

2. High-pitch configuration High-pitch cases configuration (2 A and 2 B) E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 10

2. High-pitch configuration A. No plate case: temperature map [°C] E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 q’= 0. 3 W cm-2 11

2. High-pitch configuration A. No plate case: temperature map [°C] q’= 0. 3 W cm-2 § Hotspot in the silicon E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 12

2. High-pitch configuration B. Thornel K 1100 plate case: temperature map [°C] E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 q’= 0. 3 W cm-2 13

2. High-pitch configuration B. Thornel K 1100 plate case: temperature map [°C] q’= 0. 3 W cm-2 § Hotspot in the silicon E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 14

Conclusions § The CF strip, oriented with the fiber along the Kapton pipe, provides an overall higher thermal performance, as a result of maximizing the pipe-wrapping fiber contact area. Ø Silicon maximum temperature is lower Ø Profit of a bigger surface of the pipe. § Including the Thornel K 1100 CF plate in between the wrapping fiber abd the silicon helps to spread the heat and achieve a better temperature uniformity in the silicon detector. E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 15

ITS Upgrade: Cooling progress Enrico DA RIVA (EN-CV-PJ) Manuel GOMEZ MARZOA (EN-CV-PJ) 3 rd June 2012 E. Da Riva/M. Gomez Marzoa CFD Weekly Meeting - 3 rd June 2012 16