QUESTION 9 A liquid cooled heat sink for a smartphone is sketched in Figure Q9. It uses water of density p = 997 kg-m-3 and kinematic viscosity v = 1.19 x 10-6 m².s-1 that runs in the x₁ direction through each of the five tubes of constant diameter D₁ = 5 mm and length Lx1 = 20 mm. It is supplied by a U = 0.017 m-s-1 uniform water inflow. Use Blasius' skin friction coefficient Cf = 0.664 / Rex10.5 to calculate the total skin friction drag force imparted by the flow on the heat sink walls. Calculate your answer in microNewtons, to one decimal place and enter the numerical value only. 1 microNewton = 10-6 Newtons. Partial credit is awarded for a reasonable approximation to the correct numerical answer. LX2 Lx1 00000 LX3

Elements Of Electromagnetics
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QUESTION 9
A liquid cooled heat sink for a smartphone is sketched in Figure Q9. It uses water of density p = 997
kg m-3 and kinematic viscosity v = 1.19 x 10-6 m²-s-1 that runs in the x₁ direction through each of the
five tubes of constant diameter D₁ = 5 mm and length Lx1 = 20 mm. It is supplied by a U = 0.017 m-s-1
uniform water inflow. Use Blasius' skin friction coefficient Cf = 0.664 / Rex1
0.5 to calculate the total skin
friction drag force imparted by the flow on the heat sink walls. Calculate your answer in microNewtons,
to one decimal place and enter the numerical value only. 1 microNewton = 10-6 Newtons. Partial credit
is awarded for a reasonable approximation to the correct numerical answer.
Lx₂
X2
Lx1
X1
Ő ve
Heat Flux (9)
(a)
Figure Q9: Schematic of a liquid cooled heat sink
LX3
4
Transcribed Image Text:QUESTION 9 A liquid cooled heat sink for a smartphone is sketched in Figure Q9. It uses water of density p = 997 kg m-3 and kinematic viscosity v = 1.19 x 10-6 m²-s-1 that runs in the x₁ direction through each of the five tubes of constant diameter D₁ = 5 mm and length Lx1 = 20 mm. It is supplied by a U = 0.017 m-s-1 uniform water inflow. Use Blasius' skin friction coefficient Cf = 0.664 / Rex1 0.5 to calculate the total skin friction drag force imparted by the flow on the heat sink walls. Calculate your answer in microNewtons, to one decimal place and enter the numerical value only. 1 microNewton = 10-6 Newtons. Partial credit is awarded for a reasonable approximation to the correct numerical answer. Lx₂ X2 Lx1 X1 Ő ve Heat Flux (9) (a) Figure Q9: Schematic of a liquid cooled heat sink LX3 4
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