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Energy Analysis of Control Volumes at Steady StateAir with
Chapter 4, Problem 34P(choose chapter or problem)
Air with a mass flow rate of \(5 \mathrm{lb} / \mathrm{s}\) enters a horizontal nozzle operating at steady state at \(800^{\circ} \mathrm{R}, 50 \mathrm{lbf} / \mathrm{in}^2\) and a velocity of \(10 \mathrm{ft} / \mathrm{s}\). At the exit, the temperature is \(570^{\circ} \mathrm{R}\) and the velocity is \(1510 \mathrm{ft} / \mathrm{s}\). Using the ideal gas model for air, determine (a) the area at the inlet, in \(\mathrm{ft}^2\), and (b) the heat transfer between the nozzle and its surroundings, in Btu per lb of air flowing.
Questions & Answers
QUESTION:
Air with a mass flow rate of \(5 \mathrm{lb} / \mathrm{s}\) enters a horizontal nozzle operating at steady state at \(800^{\circ} \mathrm{R}, 50 \mathrm{lbf} / \mathrm{in}^2\) and a velocity of \(10 \mathrm{ft} / \mathrm{s}\). At the exit, the temperature is \(570^{\circ} \mathrm{R}\) and the velocity is \(1510 \mathrm{ft} / \mathrm{s}\). Using the ideal gas model for air, determine (a) the area at the inlet, in \(\mathrm{ft}^2\), and (b) the heat transfer between the nozzle and its surroundings, in Btu per lb of air flowing.
ANSWER:Solution 34P:
Step 1 of 3:-
Here we need to find the area of the inlet and the heat transfer in Btu/lb of the air flow.
The mass flow rate of air is:
And
At the exit,
The temperature is:
Velocity is:
