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Air enters a nozzle operating at steady state at 45 lbf45\ \mathrm{lbf} // in.2,800R{ }^2, 800^{\circ} \mathrm{R}, with a velocity of 480 ft/s480\ \mathrm{ft} / \mathrm{s}, and expands isentropically to an exit velocity of 1500 ft/s1500\ \mathrm{ft} / \mathrm{s}. Determine (a) the exit pressure, in lbf/\mathrm{lbf} / in.2^2 (b) the ratio of the exit area to the inlet area. (c) whether the nozzle is diverging only, converging only, or converging-diverging in cross section.


Answered 1 year ago
Answered 1 year ago
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In this exercise, we have to analyze the nozzle.


  • Inlet pressure, p1=45 lbf in2p_1=45\frac{\text{ lbf}}{\text{ in}^2};
  • Inlet temperature, T1=800°RT_1=800\text{°R};
  • Initial velocity, V1=480 ft sV_1=480\frac{\text{ ft}}{\text{ s}};
  • Exit velocity, V2=1500 ft sV_2=1500\frac{\text{ ft}}{\text{ s}};
  • Isentropic exponent, κ=1.4\kappa=1.4;
  • Individual gas constant for an air, R=53.36 lbf ft lb°RR=53.36\frac{\text{ lbf ft}}{\text{ lb°R}};

Required: a) Pressure at the nozzle exit; b) Ratio of exit over inlet cross-section; c) Is the nozzle diverging, converging or converging-diverging;

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