Shown below is a heat exchanger used to cool down the liquid in the tube. The shell is well insulated. (1) If the tube is selected as the system, select

Elements Of Electromagnetics
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  1. Shown below is a heat exchanger used to cool down the liquid in the tube. The shell is well insulated.

    (1) If the tube is selected as the system, select the correct energy balance equation._____________


     

      A.

     

      B.

     

      C.

     

      D.

     

**Heat Exchanger System Analysis**

This image depicts a heat exchanger utilized for cooling the liquid flowing through a tube. The system ensures that the surrounding shell remains well insulated.

**Diagram Details:**
The diagram shows a shell and tube configuration with the following flow paths:
- Inlet (1) into the shell and outlet (2) from the shell for the cooling medium
- Inlet (3) into the tube and outlet (4) from the tube for the liquid being cooled

Flow is directed with arrows, indicating the liquid's movement from the inlet to the outlet within the tube system. The primary objective is to transfer heat from the liquid in the tube to the surrounding shell.

**Question for Analysis:**
1. When considering the tube as the system, identify the correct energy balance equation.

**Options for the Energy Balance Equation:**

- **A.** \( \dot{m}_3 h_3 + \dot{Q} = \dot{m}_4 h_4 \)
- **B.** \( \dot{m}_1 h_1 = \dot{m}_2 h_2 + \dot{Q} \)
- **C.** \( \dot{m}_3 h_3 = \dot{m}_4 h_4 + \dot{Q} \)
- **D.** \( \dot{m}_1 h_1 + \dot{Q} = \dot{m}_2 h_2 \)

In these equations, \(\dot{m}\) denotes mass flow rate, \(h\) represents specific enthalpy at respective inlets and outlets, and \(\dot{Q}\) indicates the rate of heat transfer.

The correct energy balance equation must account for the conservation of energy within the tube, considering mass flow rates and corresponding changes in specific enthalpy.
Transcribed Image Text:**Heat Exchanger System Analysis** This image depicts a heat exchanger utilized for cooling the liquid flowing through a tube. The system ensures that the surrounding shell remains well insulated. **Diagram Details:** The diagram shows a shell and tube configuration with the following flow paths: - Inlet (1) into the shell and outlet (2) from the shell for the cooling medium - Inlet (3) into the tube and outlet (4) from the tube for the liquid being cooled Flow is directed with arrows, indicating the liquid's movement from the inlet to the outlet within the tube system. The primary objective is to transfer heat from the liquid in the tube to the surrounding shell. **Question for Analysis:** 1. When considering the tube as the system, identify the correct energy balance equation. **Options for the Energy Balance Equation:** - **A.** \( \dot{m}_3 h_3 + \dot{Q} = \dot{m}_4 h_4 \) - **B.** \( \dot{m}_1 h_1 = \dot{m}_2 h_2 + \dot{Q} \) - **C.** \( \dot{m}_3 h_3 = \dot{m}_4 h_4 + \dot{Q} \) - **D.** \( \dot{m}_1 h_1 + \dot{Q} = \dot{m}_2 h_2 \) In these equations, \(\dot{m}\) denotes mass flow rate, \(h\) represents specific enthalpy at respective inlets and outlets, and \(\dot{Q}\) indicates the rate of heat transfer. The correct energy balance equation must account for the conservation of energy within the tube, considering mass flow rates and corresponding changes in specific enthalpy.
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