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A cross flow plate fin compact heat exchanger is to be used for this heat recovery application.  We wish to select a heat exchanger which will yield ε = 0.75, using stainless steel fin materials. Calculate the UA required to obtain ε = 0.75. Calculate UA by ε-NTU methods and state why the LMTD method is difficult to use. For the ε -NTU methods, first use the graphical method and then the equation.

A cross flow plate fin compact heat exchanger is to be used for this heat recovery application.  We wish to select a heat exchanger which will yield ε = 0.75, using stainless steel fin materials. Calculate the UA required to obtain ε = 0.75. Calculate UA by ε-NTU methods and state why the LMTD method is difficult to use. For the ε -NTU methods, first use the graphical method and then the equation.

Elements Of Electromagnetics
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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A cross flow plate fin compact heat exchanger is to be used for this heat recovery application. 

We wish to select a heat exchanger which will yield ε = 0.75, using stainless steel fin materials. Calculate the UA required to obtain ε = 0.75. Calculate UA by ε-NTU methods and state why the LMTD method is difficult to use. For the ε -NTU methods, first use the graphical method and then the equation. 

### Gas Turbine Engine Diagram and Key Parameters #### Diagram Description The diagram represents a basic schematic of a gas turbine engine, demonstrating the flow of air and gases through the system. 1. **Compressor** - Air enters the compressor where it is compressed. - Following the compression, the temperature (T) of the air is 347°F, and the pressure (P) is 132 psia (pounds per square inch absolute). 2. **Combustion Chamber** - The compressed air then flows into the combustion chamber. - In the combustion chamber, fuel is added and burned, significantly increasing the energy of the air. 3. **Turbine** - The high-energy air exits the combustion chamber and enters the turbine. - The turbine extracts energy from the high-temperature, high-pressure air to produce work. - After passing through the turbine, the temperature (T) is 805°F, and the pressure (P) is 16.1 psia. 4. **Output (Work)** - The turbine generates mechanical work which can be used for various applications, such as generating electricity or driving machinery. 5. **Flow Path** - The diagram uses arrows to depict the flow direction of the air and gases through the different components of the gas turbine engine. #### Key Parameters - **Compressor Outlet Conditions**: - Temperature (T): 347°F - Pressure (P): 132 psia - **Turbine Outlet Conditions**: - Temperature (T): 805°F - Pressure (P): 16.1 psia This fundamental diagram provides an overview of how a gas turbine engine operates by compressing air, adding energy through combustion, and then extracting work through a turbine. Gas turbines are essential components in many industrial applications, including power generation and aviation.
Transcribed Image Text:### Gas Turbine Engine Diagram and Key Parameters #### Diagram Description The diagram represents a basic schematic of a gas turbine engine, demonstrating the flow of air and gases through the system. 1. **Compressor** - Air enters the compressor where it is compressed. - Following the compression, the temperature (T) of the air is 347°F, and the pressure (P) is 132 psia (pounds per square inch absolute). 2. **Combustion Chamber** - The compressed air then flows into the combustion chamber. - In the combustion chamber, fuel is added and burned, significantly increasing the energy of the air. 3. **Turbine** - The high-energy air exits the combustion chamber and enters the turbine. - The turbine extracts energy from the high-temperature, high-pressure air to produce work. - After passing through the turbine, the temperature (T) is 805°F, and the pressure (P) is 16.1 psia. 4. **Output (Work)** - The turbine generates mechanical work which can be used for various applications, such as generating electricity or driving machinery. 5. **Flow Path** - The diagram uses arrows to depict the flow direction of the air and gases through the different components of the gas turbine engine. #### Key Parameters - **Compressor Outlet Conditions**: - Temperature (T): 347°F - Pressure (P): 132 psia - **Turbine Outlet Conditions**: - Temperature (T): 805°F - Pressure (P): 16.1 psia This fundamental diagram provides an overview of how a gas turbine engine operates by compressing air, adding energy through combustion, and then extracting work through a turbine. Gas turbines are essential components in many industrial applications, including power generation and aviation.
### Heat Recovery Using a Cross Flow Plate Fin Compact Heat Exchanger In the context of heat recovery, a cross flow plate fin compact heat exchanger is instrumental. The table below presents essential parameters for both turbine exhaust and compressor discharge: | **Parameter** | **Turbine Exhaust** | **Compressor Discharge** | |----------------------------|---------------------|--------------------------| | **Temperature (°F)** | 805 | 347 | | **Pressure (psia)** | 16.1 | 132 | | **Flow Rate (lbm/hr)** | 196,000 | 193,000 | | **Density (lbm/ft³)** | 0.0316 | 0.4380 | | **Specific Heat (Btu/lbm °F)** | 0.259 | 0.251 | **Parameters Explanation:** 1. **Temperature (°F):** Indicates the temperature of the working fluid in degrees Fahrenheit. 2. **Pressure (psia):** Represents the absolute pressure of the fluid in pounds per square inch. 3. **Flow Rate (lbm/hr):** The mass flow rate in pounds per hour. 4. **Density (lbm/ft³):** Indicates the density in pounds per cubic foot. 5. **Specific Heat (Btu/lbm °F):** The amount of heat energy required to raise the temperature of one pound of the substance by one degree Fahrenheit. ### Application: A cross flow plate fin compact heat exchanger will be used effectively using the above parameters for a heat recovery application, leveraging the high-temperature turbine exhaust and the moderate-temperature compressor discharge to optimize the heat exchange process.
Transcribed Image Text:### Heat Recovery Using a Cross Flow Plate Fin Compact Heat Exchanger In the context of heat recovery, a cross flow plate fin compact heat exchanger is instrumental. The table below presents essential parameters for both turbine exhaust and compressor discharge: | **Parameter** | **Turbine Exhaust** | **Compressor Discharge** | |----------------------------|---------------------|--------------------------| | **Temperature (°F)** | 805 | 347 | | **Pressure (psia)** | 16.1 | 132 | | **Flow Rate (lbm/hr)** | 196,000 | 193,000 | | **Density (lbm/ft³)** | 0.0316 | 0.4380 | | **Specific Heat (Btu/lbm °F)** | 0.259 | 0.251 | **Parameters Explanation:** 1. **Temperature (°F):** Indicates the temperature of the working fluid in degrees Fahrenheit. 2. **Pressure (psia):** Represents the absolute pressure of the fluid in pounds per square inch. 3. **Flow Rate (lbm/hr):** The mass flow rate in pounds per hour. 4. **Density (lbm/ft³):** Indicates the density in pounds per cubic foot. 5. **Specific Heat (Btu/lbm °F):** The amount of heat energy required to raise the temperature of one pound of the substance by one degree Fahrenheit. ### Application: A cross flow plate fin compact heat exchanger will be used effectively using the above parameters for a heat recovery application, leveraging the high-temperature turbine exhaust and the moderate-temperature compressor discharge to optimize the heat exchange process.
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