Energy Analysis of Control Volumes at Steady

Chapter 4, Problem 88P

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QUESTION:

As shown in Fig. P4.88, 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 \(0.4 \mathrm{~m} / \mathrm{s}\) and exits at \(24^{\circ} \mathrm{C}\) with a negligible change in pressure. The electrical components receive \(0.5 \mathrm{kW}\) of electrical power. The rate of energy transfer by convection from the plate-mounted electronics is estimated to be \(0.08 \mathrm{~kW}\). Kinetic and potential energy effects can be ignored. Determine the tube diameter, in cm.

                                                   

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QUESTION:

As shown in Fig. P4.88, 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 \(0.4 \mathrm{~m} / \mathrm{s}\) and exits at \(24^{\circ} \mathrm{C}\) with a negligible change in pressure. The electrical components receive \(0.5 \mathrm{kW}\) of electrical power. The rate of energy transfer by convection from the plate-mounted electronics is estimated to be \(0.08 \mathrm{~kW}\). Kinetic and potential energy effects can be ignored. Determine the tube diameter, in cm.

                                                   

ANSWER:

Solution 88P

Step 1 of 4

To find the diameter of the tube.

From the given fig P4.88 and from the given data we have, a control volume encloses the plate mounted by electronic components with an inlet at 1 and exit at 2. And the control volume 1 is at steady state. For the water entering and exiting we assume that  ,

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