2. A. Design a theoretical nozzle in order to expand isentropically superheated steam (P₁ = 280 psia, To = 900 F) to a pressure of 120 psia at a flow rate of 1 lbm/sec. B. If the nozzle efficiency is to be 80%, compute the exit area at section 8(A)actual of the nozzle. 12345678

Elements Of Electromagnetics
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### Example Problem: Design of a Theoretical Nozzle

---

#### **Problem Statement:**
A. Design a theoretical nozzle to expand isentropically superheated steam (\( P_0 = 280 \, \text{psia} \), \( T_0 = 900 \, \text{F} \)) to a pressure of 120 psia at a flow rate of 1 lbm/sec.

B. If the nozzle efficiency is to be 80%, compute the exit area at section 8 (\( A_{e, \text{actual}} \)) of the nozzle.

---

#### **Diagram:**
The given diagram illustrates the expansion process of superheated steam through a nozzle, wherein:

- \( P_0 \) and \( T_0 \) are the initial pressure and temperature.
- The nozzle efficiency is considered for calculation.
- The expansion occurs across sections 1 through 8, denoting various stages in the nozzle.

![Schematic Diagram of the Nozzle](diagram_placeholder)

---

#### **Solution:**

**A.**

##### **Given Data:**

\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{SECTION} & \text{P (psia)} & \text{T (DEG F)} & \text{h (BTU/lbm)} & \text{v (ft}^3 \text{/lbm)} \\
\hline
0 & 280 & 860 & 1451 & 2.754 \\
1 & 260 & 820 & 1432 & 2.985 \\
2 & 240 & 780 & 1411 & 3.013 \\
3 & 220 & 740 & 1395 & 3.178 \\
4 & 200 & 700 & 1375 & 3.378 \\
5 & 180 & 660 & 1354 & 3.621 \\
6 & 160 & 620 & 1334 & 3.926 \\
7 & 140 & 580 & 1320 & 4.32 \\
8 & 120 & 540 & 1295 & 4.845 \\
\hline
\end{array}
\]

---

**B. Efficiency Calculation:**

\[
\eta = \frac{V_e^2}{h_o
Transcribed Image Text:### Example Problem: Design of a Theoretical Nozzle --- #### **Problem Statement:** A. Design a theoretical nozzle to expand isentropically superheated steam (\( P_0 = 280 \, \text{psia} \), \( T_0 = 900 \, \text{F} \)) to a pressure of 120 psia at a flow rate of 1 lbm/sec. B. If the nozzle efficiency is to be 80%, compute the exit area at section 8 (\( A_{e, \text{actual}} \)) of the nozzle. --- #### **Diagram:** The given diagram illustrates the expansion process of superheated steam through a nozzle, wherein: - \( P_0 \) and \( T_0 \) are the initial pressure and temperature. - The nozzle efficiency is considered for calculation. - The expansion occurs across sections 1 through 8, denoting various stages in the nozzle. ![Schematic Diagram of the Nozzle](diagram_placeholder) --- #### **Solution:** **A.** ##### **Given Data:** \[ \begin{array}{|c|c|c|c|c|} \hline \text{SECTION} & \text{P (psia)} & \text{T (DEG F)} & \text{h (BTU/lbm)} & \text{v (ft}^3 \text{/lbm)} \\ \hline 0 & 280 & 860 & 1451 & 2.754 \\ 1 & 260 & 820 & 1432 & 2.985 \\ 2 & 240 & 780 & 1411 & 3.013 \\ 3 & 220 & 740 & 1395 & 3.178 \\ 4 & 200 & 700 & 1375 & 3.378 \\ 5 & 180 & 660 & 1354 & 3.621 \\ 6 & 160 & 620 & 1334 & 3.926 \\ 7 & 140 & 580 & 1320 & 4.32 \\ 8 & 120 & 540 & 1295 & 4.845 \\ \hline \end{array} \] --- **B. Efficiency Calculation:** \[ \eta = \frac{V_e^2}{h_o
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