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An Otto cycle engine has a compression ratio of 9 and uses CH18 octane as fuel. Since the lowest calorific value of LHV fuel is 44500kj/ kg and the ratio of air to fuel is 15:1 Calculate the maximum value of pressure and temperature in the cycle a- (not counting the expansion of molecules) b- With calculating the expansion of the particles assuming that cv=0.71KI / Kg.K and the pressure and expansion follow the rule pV^1.3 = constant pressure and temperature at the beginning of the compression stroke is 60 bar, and calculate the expansion ratio of the particles

An Otto cycle engine has a compression ratio of 9 and uses CH18 octane as fuel. Since the lowest calorific value of LHV fuel is 44500kj/ kg and the ratio of air to fuel is 15:1 Calculate the maximum value of pressure and temperature in the cycle a- (not counting the expansion of molecules) b- With calculating the expansion of the particles assuming that cv=0.71KI / Kg.K and the pressure and expansion follow the rule pV^1.3 = constant pressure and temperature at the beginning of the compression stroke is 60 bar, and calculate the expansion ratio of the particles

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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### Otto Cycle Engine: Maximum Pressure and Temperature Calculation **Problem Statement:** An Otto cycle engine has a compression ratio of 9 and uses CH18 octane as fuel. The lowest calorific value (LHV) of the fuel is 44500 kJ/kg and the ratio of air to fuel is 15:1. Calculate the maximum value of pressure and temperature in the cycle, considering the following conditions: 1. **Without Counting the Expansion of Molecules:** Calculate the maximum pressure and temperature assuming no expansion of molecules. 2. **With Counting the Expansion of Molecules:** Calculate the maximum pressure and temperature considering the expansion of the particles. - Assume \( c_v = 0.71 \) kJ/kg.K. - The pressure and expansion follow the rule \( P \cdot V^{1.3} = \text{constant} \). - The initial pressure at the beginning of the compression stroke is 60 bar. --- **Instructions for Calculation:** 1. **Without Expansion (a):** - Calculate the peak values of pressure and temperature without taking into account molecular expansion. 2. **With Expansion (b):** - Account for the expansion of the particles using the given \( c_v \) value. - Follow the relationship \( P \cdot V^{1.3} = \text{constant} \) to find the peak pressure and temperature. - Given: \( P_{initial} = 60 \, \text{bar} \). --- ### Detailed Explanation: **1. Calculation Without Molecular Expansion (a):** - **Steps:** - Use the given data and thermodynamic principles pertinent to the Otto cycle to determine the temperature and pressure at various stages. - Apply the calorific value and air-to-fuel ratio in conjunction with the engine's compression ratio. **2. Calculation With Molecular Expansion (b):** - **Assumptions:** - Specific heat at constant volume, \( c_v = 0.71 \) kJ/kg.K. - The combined pressure and volume expansion follows \( P \cdot V^{1.3} = \text{constant} \). - **Steps:** - Calculate the new pressure and temperature values incorporating the expansion of fuel particles. - Begin with the initial pressure of 60 bar and apply the given expansion rule to derive the final temperature and pressure values. ### Conclusion
Transcribed Image Text:### Otto Cycle Engine: Maximum Pressure and Temperature Calculation **Problem Statement:** An Otto cycle engine has a compression ratio of 9 and uses CH18 octane as fuel. The lowest calorific value (LHV) of the fuel is 44500 kJ/kg and the ratio of air to fuel is 15:1. Calculate the maximum value of pressure and temperature in the cycle, considering the following conditions: 1. **Without Counting the Expansion of Molecules:** Calculate the maximum pressure and temperature assuming no expansion of molecules. 2. **With Counting the Expansion of Molecules:** Calculate the maximum pressure and temperature considering the expansion of the particles. - Assume \( c_v = 0.71 \) kJ/kg.K. - The pressure and expansion follow the rule \( P \cdot V^{1.3} = \text{constant} \). - The initial pressure at the beginning of the compression stroke is 60 bar. --- **Instructions for Calculation:** 1. **Without Expansion (a):** - Calculate the peak values of pressure and temperature without taking into account molecular expansion. 2. **With Expansion (b):** - Account for the expansion of the particles using the given \( c_v \) value. - Follow the relationship \( P \cdot V^{1.3} = \text{constant} \) to find the peak pressure and temperature. - Given: \( P_{initial} = 60 \, \text{bar} \). --- ### Detailed Explanation: **1. Calculation Without Molecular Expansion (a):** - **Steps:** - Use the given data and thermodynamic principles pertinent to the Otto cycle to determine the temperature and pressure at various stages. - Apply the calorific value and air-to-fuel ratio in conjunction with the engine's compression ratio. **2. Calculation With Molecular Expansion (b):** - **Assumptions:** - Specific heat at constant volume, \( c_v = 0.71 \) kJ/kg.K. - The combined pressure and volume expansion follows \( P \cdot V^{1.3} = \text{constant} \). - **Steps:** - Calculate the new pressure and temperature values incorporating the expansion of fuel particles. - Begin with the initial pressure of 60 bar and apply the given expansion rule to derive the final temperature and pressure values. ### Conclusion
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