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Mean Effective Pressure in Diesel Cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean effective pressure in diesel cycle = Pressure at the start of Isentropic Compression*(Compression ratio^Heat Capacity Ratio)*(Heat Capacity Ratio*(Cutoff ratio-1)-(Compression ratio^(1-Heat Capacity Ratio))*(Cutoff ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression ratio-1))
Pmean = P1*(r^γ)*(γ*(Cr-1)-(r^(1-γ))*(Cr^γ-1))/((γ-1)*(r-1))
This formula uses 4 Variables
Variables Used
Pressure at the start of Isentropic Compression - Pressure at the start of Isentropic Compression is the pressure inside the piston cylinder at the start of isentropic compression process in an otto cycle. (Measured in Kilopascal)
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.
Cutoff ratio- Cutoff ratio is ratio of final to initial volume.
STEP 1: Convert Input(s) to Base Unit
Pressure at the start of Isentropic Compression: 100 Kilopascal --> 100000 Pascal (Check conversion here)
Compression ratio: 2 --> No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required
Cutoff ratio: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pmean = P1*(r^γ)*(γ*(Cr-1)-(r^(1-γ))*(Cr^γ-1))/((γ-1)*(r-1)) --> 100000*(2^1.4)*(1.4*(2-1)-(2^(1-1.4))*(2^1.4-1))/((1.4-1)*(2-1))
Evaluating ... ...
Pmean = 104147.626768132
STEP 3: Convert Result to Output's Unit
104147.626768132 Pascal -->104.147626768132 Kilopascal (Check conversion here)
FINAL ANSWER
104.147626768132 Kilopascal <-- Mean effective pressure in diesel cycle
(Calculation completed in 00.000 seconds)

9 Air-Standard Cycles Calculators

Work Output for Dual Cycle
Work output of an engine = (Pressure at the start of Isentropic Compression*Volume at the start of Isentropic Compression*(Heat Capacity Ratio*Pressure Ratio*(Compression ratio)^(Heat Capacity Ratio-1)*(Cut-off Ratio-1)+(Compression ratio)^(Heat Capacity Ratio-1)*(Pressure Ratio-1)-(Pressure Ratio*(Cut-off Ratio)^(Heat Capacity Ratio)-1)))/(Heat Capacity Ratio-1) Go
Mean Effective Pressure in Dual Cycle
Mean effective pressure of dual cycle = Pressure at the start of Isentropic Compression*Compression ratio*((Compression ratio^(Heat Capacity Ratio-1))*((Pressure ratio (or) Explosion Ratio-1)+Heat Capacity Ratio*Pressure ratio (or) Explosion Ratio*(Cutoff ratio-1))-((Cutoff ratio^Heat Capacity Ratio)*Pressure ratio (or) Explosion Ratio-1))/((Heat Capacity Ratio-1)*(Compression ratio-1)) Go
Work Output for Diesel Cycle
Work output of an engine = (Pressure at the start of Isentropic Compression*Volume at the start of Isentropic Compression*((Compression ratio)^(Heat Capacity Ratio-1))*(Heat Capacity Ratio*(Cut-off Ratio-1)-(Compression ratio)^(1-Heat Capacity Ratio)*(Cut-off Ratio^(Heat Capacity Ratio)-1)))/(Heat Capacity Ratio-1) Go
Mean Effective Pressure in Diesel Cycle
Mean effective pressure in diesel cycle = Pressure at the start of Isentropic Compression*(Compression ratio^Heat Capacity Ratio)*(Heat Capacity Ratio*(Cutoff ratio-1)-(Compression ratio^(1-Heat Capacity Ratio))*(Cutoff ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression ratio-1)) Go
Mean Effective Pressure in Otto Cycle
Mean Effective pressure = Pressure at the start of Isentropic Compression*Compression ratio*(((Compression ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression ratio-1)*(Heat Capacity Ratio-1))) Go
Work Output for Otto Cycle
Work output of an engine = (Pressure at the start of Isentropic Compression*Volume at the start of Isentropic Compression*(Pressure Ratio-1)*((Compression ratio)^(Heat Capacity Ratio-1)-1))/(Heat Capacity Ratio-1) Go
Air standard efficiency for Diesel engines
Air Standard Efficiency = (1-(((Cut-off Ratio)^(Heat Capacity Ratio)-1)/(((Compression ratio)^(Heat Capacity Ratio-1))*(Heat Capacity Ratio*(Cut-off Ratio-1)))))*100 Go
Air standard efficiency for Petrol engines
Air Standard Efficiency = (1-(1/((Compression ratio)^(Heat Capacity Ratio-1))))*100 Go
Air Standard Efficiency in terms of Relative Efficiency
Air Standard Efficiency = Indicated Thermal Efficiency/Relative Efficiency Go

Mean Effective Pressure in Diesel Cycle Formula

Mean effective pressure in diesel cycle = Pressure at the start of Isentropic Compression*(Compression ratio^Heat Capacity Ratio)*(Heat Capacity Ratio*(Cutoff ratio-1)-(Compression ratio^(1-Heat Capacity Ratio))*(Cutoff ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression ratio-1))
Pmean = P1*(r^γ)*(γ*(Cr-1)-(r^(1-γ))*(Cr^γ-1))/((γ-1)*(r-1))

What is the significance of mean effective pressure?

Mean Effective Pressure is useful for comparing engines of different displacements. Mean effective pressure is also useful for initial design calculations; that is, given a torque, standard MEP values can be used to estimate the required engine displacement.

How to Calculate Mean Effective Pressure in Diesel Cycle?

Mean Effective Pressure in Diesel Cycle calculator uses Mean effective pressure in diesel cycle = Pressure at the start of Isentropic Compression*(Compression ratio^Heat Capacity Ratio)*(Heat Capacity Ratio*(Cutoff ratio-1)-(Compression ratio^(1-Heat Capacity Ratio))*(Cutoff ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression ratio-1)) to calculate the Mean effective pressure in diesel cycle, The Mean Effective Pressure in Diesel Cycle formula is an indication of the internal work output which increases with a pressure ratio at a fixed value of compression ratio and the ratio of specific heats. Mean effective pressure in diesel cycle is denoted by Pmean symbol.

How to calculate Mean Effective Pressure in Diesel Cycle using this online calculator? To use this online calculator for Mean Effective Pressure in Diesel Cycle, enter Pressure at the start of Isentropic Compression (P1), Compression ratio (r), Heat Capacity Ratio (γ) & Cutoff ratio (Cr) and hit the calculate button. Here is how the Mean Effective Pressure in Diesel Cycle calculation can be explained with given input values -> 104.1476 = 100000*(2^1.4)*(1.4*(2-1)-(2^(1-1.4))*(2^1.4-1))/((1.4-1)*(2-1)).

FAQ

What is Mean Effective Pressure in Diesel Cycle?
The Mean Effective Pressure in Diesel Cycle formula is an indication of the internal work output which increases with a pressure ratio at a fixed value of compression ratio and the ratio of specific heats and is represented as Pmean = P1*(r^γ)*(γ*(Cr-1)-(r^(1-γ))*(Cr^γ-1))/((γ-1)*(r-1)) or Mean effective pressure in diesel cycle = Pressure at the start of Isentropic Compression*(Compression ratio^Heat Capacity Ratio)*(Heat Capacity Ratio*(Cutoff ratio-1)-(Compression ratio^(1-Heat Capacity Ratio))*(Cutoff ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression ratio-1)). Pressure at the start of Isentropic Compression is the pressure inside the piston cylinder at the start of 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 & Cutoff ratio is ratio of final to initial volume.
How to calculate Mean Effective Pressure in Diesel Cycle?
The Mean Effective Pressure in Diesel Cycle formula is an indication of the internal work output which increases with a pressure ratio at a fixed value of compression ratio and the ratio of specific heats is calculated using Mean effective pressure in diesel cycle = Pressure at the start of Isentropic Compression*(Compression ratio^Heat Capacity Ratio)*(Heat Capacity Ratio*(Cutoff ratio-1)-(Compression ratio^(1-Heat Capacity Ratio))*(Cutoff ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression ratio-1)). To calculate Mean Effective Pressure in Diesel Cycle, you need Pressure at the start of Isentropic Compression (P1), Compression ratio (r), Heat Capacity Ratio (γ) & Cutoff ratio (Cr). With our tool, you need to enter the respective value for Pressure at the start of Isentropic Compression, Compression ratio, Heat Capacity Ratio & Cutoff 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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