As shown in Fig. P4.30, electronic components mounted on a

Chapter 4, Problem 4.30

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QUESTION:

As shown in Fig. P4.30, electronic components mounted on a flat plate are cooled by convection to the surroundings and by liquid water circulating through a U-tube bonded to the plate. At steady state, water enters the tube at \(20^{\circ} \mathrm{C}\) and a velocity of 0.4 m/s and exits at \(24^{\circ} \mathrm{C}\) with a negligible change in pressure. The electrical components receive 0.5 kW of electrical power. The rate of energy transfer by convection from the plate-mounted electronics is estimated to be 0.08 kW. Kinetic and potential energy effects can be ignored. Determine the tube diameter, in cm.

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QUESTION:

As shown in Fig. P4.30, electronic components mounted on a flat plate are cooled by convection to the surroundings and by liquid water circulating through a U-tube bonded to the plate. At steady state, water enters the tube at \(20^{\circ} \mathrm{C}\) and a velocity of 0.4 m/s and exits at \(24^{\circ} \mathrm{C}\) with a negligible change in pressure. The electrical components receive 0.5 kW of electrical power. The rate of energy transfer by convection from the plate-mounted electronics is estimated to be 0.08 kW. Kinetic and potential energy effects can be ignored. Determine the tube diameter, in cm.

ANSWER:

Step 1 of 5

Given values

\(\begin{array}{l}
T_{1}=20^{\circ} \mathrm{C} \\
V_{1}=0.4 \frac{\mathrm{m}}{\mathrm{s}} \\
T_{2}=24^{\circ} \mathrm{C} \\
P=0.5 \mathrm{~kW} \\
Q_{\text {conv }}=0.08 \mathrm{~kW}
\end{array}\)

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