### Heat Exchanger AnalysisConsider the steady-state counterflow heat exchanger shown below. There are separate streams of air and water, and each stream experiences no noticeable change in pressure. Stray heat transfer with the surroundings and changes in kinetic and potential energy can be ignored. For the air, the ideal gas model can be applied and \( R_{\text{air}} = 0.287 \, \frac{\text{kJ}}{\text{kg} \cdot \text{K}} \).For the operating conditions provided on the figure, determine:a. The temperature of the air at the outlet of the heat exchanger, \( T_4 \), in [K].b. The rate of heat transfer between the air and the water, in [kW].c. The rate of entropy production for the heat exchanger, in [kW/K].### Diagram Explanation- **Streams**: The diagram shows two streams, one for steam (in brown) and one for air (in blue), flowing in opposite directions in a counterflow pattern within the heat exchanger. - **Steam Side**: - **Inlet (1)**: Steam enters at a mass flow rate \(\dot{m}_{\text{steam}} = 12 \, \text{kg/s}\), pressure \(p_1 = 3 \, \text{bar}\), quality \(x_1 = 1\), indicating it's saturated vapor. - **Outlet (2)**: The pressure at the outlet \(p_2 = p_1\), with a temperature \(T_2 = 200 \, \text{K}\).- **Air Side**: - **Inlet (3)**: Air enters with a pressure \(p_3 = 1 \, \text{bar}\) and a temperature \(T_3 = 1100 \, \text{K}\), with a mass flow rate \(\dot{m}_{\text{air}} = 3.29 \, \text{kg/s}\). - **Outlet (4)**: The pressure remains constant at \(p_4 = p_3\), and the outlet temperature is \(T_4\) to be determined.This diagram illustrates the basic layout and thermodynamic parameters for the counterflow heat exchange process, providing necessary information to analyze the temperatures, heat transfer rate, and entropy production.

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Consider the steady-state counterflow heat exchanger shown below. There are separate streams of air and water, and each stream experiences no noticeable change in pressure. Stray heat transfer with the surroundings and changes in kinetic and potential energy can be ignored. For the air, the ideal gas model can be applied and Rair = 0.287 For the operating conditions provided on kg-K the figure, determine: a. The temperature of the air at the outlet of the heat exchanger, T4, in [K] b. The rate of heat transfer between the air and the water, in [kW c. The rate of entropy production for the heat exchanger, in [kW/K]

Consider the steady-state counterflow heat exchanger shown below. There are separate streams of air and water, and each stream experiences no noticeable change in pressure. Stray heat transfer with the surroundings and changes in kinetic and potential energy can be ignored. For the air, the ideal gas model can be applied and Rair = 0.287 For the operating conditions provided on kg-K the figure, determine: a. The temperature of the air at the outlet of the heat exchanger, T4, in [K] b. The rate of heat transfer between the air and the water, in [kW c. The rate of entropy production for the heat exchanger, in [kW/K]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Heat Exchangers

Heat exchangers are the types of equipment that are primarily employed to transfer the thermal energy from one fluid to another, provided that one of the fluids should be at a higher thermal energy content than the other fluid.

Heat Exchanger

The heat exchanger is a combination of two words ''Heat'' and ''Exchanger''. It is a mechanical device that is used to exchange heat energy between two fluids.

Question

### Heat Exchanger Analysis

Consider the steady-state counterflow heat exchanger shown below. There are separate streams of air and water, and each stream experiences no noticeable change in pressure. Stray heat transfer with the surroundings and changes in kinetic and potential energy can be ignored. For the air, the ideal gas model can be applied and \( R_{\text{air}} = 0.287 \, \frac{\text{kJ}}{\text{kg} \cdot \text{K}} \).

For the operating conditions provided on the figure, determine:

a. The temperature of the air at the outlet of the heat exchanger, \( T_4 \), in [K].

b. The rate of heat transfer between the air and the water, in [kW].

c. The rate of entropy production for the heat exchanger, in [kW/K].

### Diagram Explanation

- **Streams**: The diagram shows two streams, one for steam (in brown) and one for air (in blue), flowing in opposite directions in a counterflow pattern within the heat exchanger.

- **Steam Side**:
- **Inlet (1)**: Steam enters at a mass flow rate \(\dot{m}_{\text{steam}} = 12 \, \text{kg/s}\), pressure \(p_1 = 3 \, \text{bar}\), quality \(x_1 = 1\), indicating it's saturated vapor.
- **Outlet (2)**: The pressure at the outlet \(p_2 = p_1\), with a temperature \(T_2 = 200 \, \text{K}\).

- **Air Side**:
- **Inlet (3)**: Air enters with a pressure \(p_3 = 1 \, \text{bar}\) and a temperature \(T_3 = 1100 \, \text{K}\), with a mass flow rate \(\dot{m}_{\text{air}} = 3.29 \, \text{kg/s}\).
- **Outlet (4)**: The pressure remains constant at \(p_4 = p_3\), and the outlet temperature is \(T_4\) to be determined.

This diagram illustrates the basic layout and thermodynamic parameters for the counterflow heat exchange process, providing necessary information to analyze the temperatures, heat transfer rate, and entropy production.

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