Mean Effective Pressure in Otto Cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Effective Pressure = Pressure at Start of Isentropic Compression*Compression Ratio*(((Compression Ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression Ratio-1)*(Heat Capacity Ratio-1)))
MEP = P1*r*(((r^(γ-1)-1)*(rp-1))/((r-1)*(γ-1)))
This formula uses 5 Variables
Variables Used
Mean Effective Pressure - (Measured in Pascal) - Mean Effective Pressure is used to measure the performance of a combustion engine.
Pressure at Start of Isentropic Compression - (Measured in Pascal) - Pressure at Start of Isentropic Compression is the pressure inside the piston cylinder at the start of the isentropic compression process in an otto cycle.
Compression Ratio - Compression ratio is ratio between volume of cylinder and combustion chamber.
Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Pressure Ratio - Pressure Ratio is ratio of final to initial pressure.
STEP 1: Convert Input(s) to Base Unit
Pressure at Start of Isentropic Compression: 110 Kilopascal --> 110000 Pascal (Check conversion here)
Compression Ratio: 1.75 --> No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required
Pressure Ratio: 5.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MEP = P1*r*(((r^(γ-1)-1)*(rp-1))/((r-1)*(γ-1))) --> 110000*1.75*(((1.75^(1.4-1)-1)*(5.5-1))/((1.75-1)*(1.4-1)))
Evaluating ... ...
MEP = 724412.429809593
STEP 3: Convert Result to Output's Unit
724412.429809593 Pascal -->724.412429809593 Kilopascal (Check conversion here)
FINAL ANSWER
724.412429809593 724.4124 Kilopascal <-- Mean Effective Pressure
(Calculation completed in 00.004 seconds)

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18 Air-Standard Cycles Calculators

Thermal Efficiency of Stirling Cycle given Heat Exchanger Effectiveness
Go Thermal Efficiency of Stirling Cycle = 100*((Universal Gas Constant*ln(Compression Ratio)*(Final Temperature-Initial Temperature))/(Universal Gas Constant*Final Temperature*ln(Compression Ratio)+Molar Specific Heat Capacity at Constant Volume*(1-Effectiveness of Heat Exchanger)*(Final Temperature-Initial Temperature)))
Mean Effective Pressure in Dual Cycle
Go Mean Effective Pressure of Dual Cycle = Pressure at Start of Isentropic Compression*(Compression Ratio^Heat Capacity Ratio*((Explosion Ratio-1)+Heat Capacity Ratio*Explosion Ratio*(Cutoff Ratio-1))-Compression Ratio*(Explosion Ratio*Cutoff Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))
Work Output for Dual Cycle
Go Work Output of Engine = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*(Compression Ratio^(Heat Capacity Ratio-1)*(Heat Capacity Ratio*Pressure Ratio*(Cutoff Ratio-1)+(Pressure Ratio-1))-(Pressure Ratio*Cutoff Ratio^(Heat Capacity Ratio)-1))/(Heat Capacity Ratio-1)
Work Output for Diesel Cycle
Go Work Output of Engine = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*(Compression Ratio^(Heat Capacity Ratio-1)*(Heat Capacity Ratio*(Cutoff Ratio-1)-Compression Ratio^(1-Heat Capacity Ratio)*(Cutoff Ratio^(Heat Capacity Ratio)-1)))/(Heat Capacity Ratio-1)
Mean Effective Pressure in Diesel Cycle
Go Mean Effective Pressure in Diesel Cycle = Pressure at Start of Isentropic Compression*(Heat Capacity Ratio*Compression Ratio^Heat Capacity Ratio*(Cutoff Ratio-1)-Compression Ratio*(Cutoff Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))
Thermal Efficiency of Dual Cycle
Go Thermal Efficiency of Dual Cycle = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1))*((Explosion Ratio*Cutoff Ratio^Heat Capacity Ratio-1)/(Explosion Ratio-1+Explosion Ratio*Heat Capacity Ratio*(Cutoff Ratio-1))))
Mean Effective Pressure in Otto Cycle
Go Mean Effective Pressure = Pressure at Start of Isentropic Compression*Compression Ratio*(((Compression Ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression Ratio-1)*(Heat Capacity Ratio-1)))
Thermal Efficiency of Atkinson Cycle
Go Thermal Efficiency of Atkinson Cycle = 100*(1-Heat Capacity Ratio*((Expansion Ratio-Compression Ratio)/(Expansion Ratio^(Heat Capacity Ratio)-Compression Ratio^(Heat Capacity Ratio))))
Work Output for Otto Cycle
Go Work Output of Engine = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*((Pressure Ratio-1)*(Compression Ratio^(Heat Capacity Ratio-1)-1))/(Heat Capacity Ratio-1)
Thermal Efficiency of Diesel Cycle
Go Thermal Efficiency of Diesel Cycle = 100*(1-1/Compression Ratio^(Heat Capacity Ratio-1)*(Cutoff Ratio^Heat Capacity Ratio-1)/(Heat Capacity Ratio*(Cutoff Ratio-1)))
Air Standard Efficiency for Diesel Engines
Go Air Standard Efficiency = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1))*(Cutoff Ratio^(Heat Capacity Ratio)-1)/(Heat Capacity Ratio*(Cutoff Ratio-1)))
Thermal Efficiency of Lenoir Cycle
Go Thermal Efficiency of Lenoir Cycle = 100*(1-Heat Capacity Ratio*((Pressure Ratio^(1/Heat Capacity Ratio)-1)/(Pressure Ratio-1)))
Thermal Efficiency of Ericsson Cycle
Go Thermal Efficiency of Ericsson Cycle = (Higher Temperature-Lower Temperature)/(Higher Temperature)
Air Standard Efficiency for Petrol engines
Go Air Standard Efficiency = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1)))
Relative Air-Fuel Ratio
Go Relative Air Fuel Ratio = Actual Air Fuel Ratio/Stoichiometric Air Fuel Ratio
Air Standard Efficiency given Relative Efficiency
Go Air Standard Efficiency = Indicated Thermal Efficiency/Relative Efficiency
Thermal Efficiency of Otto Cycle
Go OTE = 1-1/Compression Ratio^(Heat Capacity Ratio-1)
Actual Air Fuel Ratio
Go Actual Air Fuel Ratio = Mass of Air/Mass of Fuel

Mean Effective Pressure in Otto Cycle Formula

Mean Effective Pressure = Pressure at Start of Isentropic Compression*Compression Ratio*(((Compression Ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression Ratio-1)*(Heat Capacity Ratio-1)))
MEP = P1*r*(((r^(γ-1)-1)*(rp-1))/((r-1)*(γ-1)))

How to Calculate Mean Effective Pressure in Otto Cycle?

Mean Effective Pressure in Otto Cycle calculator uses Mean Effective Pressure = Pressure at Start of Isentropic Compression*Compression Ratio*(((Compression Ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression Ratio-1)*(Heat Capacity Ratio-1))) to calculate the Mean Effective Pressure, The Mean Effective Pressure in Otto Cycle formula is defined as the ratio of the net work done to the displacement volume of the piston. Mean Effective Pressure is denoted by MEP symbol.

How to calculate Mean Effective Pressure in Otto Cycle using this online calculator? To use this online calculator for Mean Effective Pressure in Otto Cycle, enter Pressure at Start of Isentropic Compression (P1), Compression Ratio (r), Heat Capacity Ratio (γ) & Pressure Ratio (rp) and hit the calculate button. Here is how the Mean Effective Pressure in Otto Cycle calculation can be explained with given input values -> 0.724412 = 110000*1.75*(((1.75^(1.4-1)-1)*(5.5-1))/((1.75-1)*(1.4-1))).

FAQ

What is Mean Effective Pressure in Otto Cycle?
The Mean Effective Pressure in Otto Cycle formula is defined as the ratio of the net work done to the displacement volume of the piston and is represented as MEP = P1*r*(((r^(γ-1)-1)*(rp-1))/((r-1)*(γ-1))) or Mean Effective Pressure = Pressure at Start of Isentropic Compression*Compression Ratio*(((Compression Ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression Ratio-1)*(Heat Capacity Ratio-1))). Pressure at Start of Isentropic Compression is the pressure inside the piston cylinder at the start of the isentropic compression process in an otto cycle, Compression ratio is ratio between volume of cylinder and combustion chamber, The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Pressure Ratio is ratio of final to initial pressure.
How to calculate Mean Effective Pressure in Otto Cycle?
The Mean Effective Pressure in Otto Cycle formula is defined as the ratio of the net work done to the displacement volume of the piston is calculated using Mean Effective Pressure = Pressure at Start of Isentropic Compression*Compression Ratio*(((Compression Ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression Ratio-1)*(Heat Capacity Ratio-1))). To calculate Mean Effective Pressure in Otto Cycle, you need Pressure at Start of Isentropic Compression (P1), Compression Ratio (r), Heat Capacity Ratio (γ) & Pressure Ratio (rp). With our tool, you need to enter the respective value for Pressure at Start of Isentropic Compression, Compression Ratio, Heat Capacity Ratio & Pressure Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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