Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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I only need help with part d.

 

The figure below provides steady-state operating data for a cogeneration cycle that generates electricity and provides heat for campus buildings. Steam at 1.5 MPa, 280°C, enters a two-stage turbine with a mass flow rate of m1 = 2 kg/s. A fraction of the total flow, y = 0.15, is extracted between the two stages at 0.2 MPa to provide for building heating, and the remainder expands through the second stage to the condenser pressure of 0.1 bar. Condensate returns from the campus buildings at 0.1 MPa, 60°C and passes through a trap into the condenser, where it is reunited with the main feedwater flow. Saturated liquid leaves the condenser at 0.1 bar.

 

### Thermodynamic States and Heat Transfer Analysis

**Thermodynamic States Table:**

The table below shows the properties of a working fluid at various states:

| State |  Pressure (p)  | Temperature (T) (°C) | Enthalpy (h) (kJ/kg) |
|-------|----------------|-----------------------|---------------------|
| 1     | 1.5 MPa        | 280                   | 2992                |
| 2     | 0.2 MPa        | Saturated (sat)       | 2652                |
| 3     | 0.1 bar        | Saturated (sat)       | 2280                |
| 4     | 0.1 bar        | Saturated (sat)       | 191.8               |
| 5     | 1.5 MPa        | ---                   | 193.3               |
| 6     | 0.1 MPa        | 60                    | 251.6               |
| 7     | 0.1 bar        | ---                   | 251.6               |

**Tasks to Determine:**

(a) **The rate of heat transfer to the working fluid passing through the boiler, in kW.**

(b) **The net power developed, in kW.**

(c) **The magnitude of the rate of heat transfer for building heating, in kW.**

(d) **The magnitude of the rate of heat transfer to the cooling water passing through the condenser, in kW.**

**Graph/Diagram Explanation:**

There is no graph or diagram included in the image. The given data is presented in a tabular format, listing various states of the working fluid with corresponding pressure, temperature, and enthalpy values. This data is necessary for performing thermodynamic calculations to determine the rates of heat transfer and net power developed in the system.

For more detailed analysis, diagrams such as T-s diagrams (temperature-entropy) or P-h diagrams (pressure-enthalpy) could be useful to visualize the thermodynamic processes, but these are not provided in the current image.

This information is essential for understanding the energy transformations and efficiencies in thermodynamic cycles, typically used in various engineering applications such as power plants, refrigeration, and HVAC systems.
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Transcribed Image Text:### Thermodynamic States and Heat Transfer Analysis **Thermodynamic States Table:** The table below shows the properties of a working fluid at various states: | State | Pressure (p) | Temperature (T) (°C) | Enthalpy (h) (kJ/kg) | |-------|----------------|-----------------------|---------------------| | 1 | 1.5 MPa | 280 | 2992 | | 2 | 0.2 MPa | Saturated (sat) | 2652 | | 3 | 0.1 bar | Saturated (sat) | 2280 | | 4 | 0.1 bar | Saturated (sat) | 191.8 | | 5 | 1.5 MPa | --- | 193.3 | | 6 | 0.1 MPa | 60 | 251.6 | | 7 | 0.1 bar | --- | 251.6 | **Tasks to Determine:** (a) **The rate of heat transfer to the working fluid passing through the boiler, in kW.** (b) **The net power developed, in kW.** (c) **The magnitude of the rate of heat transfer for building heating, in kW.** (d) **The magnitude of the rate of heat transfer to the cooling water passing through the condenser, in kW.** **Graph/Diagram Explanation:** There is no graph or diagram included in the image. The given data is presented in a tabular format, listing various states of the working fluid with corresponding pressure, temperature, and enthalpy values. This data is necessary for performing thermodynamic calculations to determine the rates of heat transfer and net power developed in the system. For more detailed analysis, diagrams such as T-s diagrams (temperature-entropy) or P-h diagrams (pressure-enthalpy) could be useful to visualize the thermodynamic processes, but these are not provided in the current image. This information is essential for understanding the energy transformations and efficiencies in thermodynamic cycles, typically used in various engineering applications such as power plants, refrigeration, and HVAC systems.
### Rankine Cycle with Reheat and Regeneration

The diagram above represents a Rankine cycle with reheat and regeneration, commonly utilized in the power generation industry to improve the efficiency of thermal power plants. Below is a step-by-step explanation of the process and components involved:

#### Components and Process Flow:
1. **Boiler**:
   - **Inlet Condition**: The boiler receives feedwater at low pressure from the pump and heats it by adding heat (\(\dot{Q}_{in}\)).
   - **State 1**: The water exits the boiler as high-pressure steam at \( p_1 = 1.5 \, \text{MPa} \) and \( T_1 = 280^\circ \text{C} \).

2. **Turbine**:
   - The high-pressure steam from the boiler enters the turbine and expands to generate work (\( W_t \)).
   - **State 2**: The steam pressure is reduced to \( p_2 = 0.2 \, \text{MPa} \).
   - The steam flow is split into two streams:
     - **Stream Fraction \( y \)** is extracted for regeneration,
     - **Stream Fraction \( 1 - y \)** continues to the condenser.

3. **Condenser**:
   - **State 3**: The remaining steam after extraction is condensed at \( p_3 = 0.1 \, \text{bar} \) into saturated liquid (condensate).
   - **State 4**: The condensate exits the condenser.

4. **Pump**:
   - The condensate is pumped to a higher pressure (\( p_4 = p_3 = 0.1 \, \text{bar} \)).
   - **State 5**: The pressurized liquid is then sent back to the boiler.

5. **Regenerative Feedwater Heater**:
   - **Extraction Point**: A portion of the steam, \( y \), is extracted from the turbine to heat the feedwater.
   - **Heat Transfer**: The extracted steam transfers heat to the feedwater, raising its temperature (regeneration process).
   - **Trap**: After the heat exchange, the extracted steam is condensed and returned via a trap to ensure proper pressure and temperature before entering the condenser or boiler.

#### Key Parameters:
- **Pressures and Temperatures**:
  - \(
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Transcribed Image Text:### Rankine Cycle with Reheat and Regeneration The diagram above represents a Rankine cycle with reheat and regeneration, commonly utilized in the power generation industry to improve the efficiency of thermal power plants. Below is a step-by-step explanation of the process and components involved: #### Components and Process Flow: 1. **Boiler**: - **Inlet Condition**: The boiler receives feedwater at low pressure from the pump and heats it by adding heat (\(\dot{Q}_{in}\)). - **State 1**: The water exits the boiler as high-pressure steam at \( p_1 = 1.5 \, \text{MPa} \) and \( T_1 = 280^\circ \text{C} \). 2. **Turbine**: - The high-pressure steam from the boiler enters the turbine and expands to generate work (\( W_t \)). - **State 2**: The steam pressure is reduced to \( p_2 = 0.2 \, \text{MPa} \). - The steam flow is split into two streams: - **Stream Fraction \( y \)** is extracted for regeneration, - **Stream Fraction \( 1 - y \)** continues to the condenser. 3. **Condenser**: - **State 3**: The remaining steam after extraction is condensed at \( p_3 = 0.1 \, \text{bar} \) into saturated liquid (condensate). - **State 4**: The condensate exits the condenser. 4. **Pump**: - The condensate is pumped to a higher pressure (\( p_4 = p_3 = 0.1 \, \text{bar} \)). - **State 5**: The pressurized liquid is then sent back to the boiler. 5. **Regenerative Feedwater Heater**: - **Extraction Point**: A portion of the steam, \( y \), is extracted from the turbine to heat the feedwater. - **Heat Transfer**: The extracted steam transfers heat to the feedwater, raising its temperature (regeneration process). - **Trap**: After the heat exchange, the extracted steam is condensed and returned via a trap to ensure proper pressure and temperature before entering the condenser or boiler. #### Key Parameters: - **Pressures and Temperatures**: - \(
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