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Question

Air enters a nozzle operating at steady state at $45\ \mathrm{lbf}$ $/$ in.${ }^2, 800^{\circ} \mathrm{R}$, with a velocity of $480\ \mathrm{ft} / \mathrm{s}$, and expands isentropically to an exit velocity of $1500\ \mathrm{ft} / \mathrm{s}$. Determine (a) the exit pressure, in $\mathrm{lbf} /$ in.$^2$ (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.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 16In this exercise, we have to analyze the nozzle.

**Given:**

- Inlet pressure, $p_1=45\frac{\text{ lbf}}{\text{ in}^2}$;
- Inlet temperature, $T_1=800\text{°R}$;
- Initial velocity, $V_1=480\frac{\text{ ft}}{\text{ s}}$;
- Exit velocity, $V_2=1500\frac{\text{ ft}}{\text{ s}}$;
- Isentropic exponent, $\kappa=1.4$;
- Individual gas constant for an air, $R=53.36\frac{\text{ lbf ft}}{\text{ lb°R}}$;

**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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