Mean Effective Pressure in Otto Cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Effective Pressure of Otto Cycle = 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)))
PO = P1*r*(((r^(γ-1)-1)*(rp-1))/((r-1)*(γ-1)))
This formula uses 5 Variables
Variables Used
Mean Effective Pressure of Otto Cycle - (Measured in Pascal) - Mean effective pressure of otto cycle refers to a theoretical constant pressure that is applied on the piston throughout the cycle. MEP is calculated by using indicator diagram of the cycle.
Pressure at Start of Isentropic Compression - (Measured in Pascal) - Pressure at Start of Isentropic Compression refers to the pressure exerted by the charge inside the wall of the cylinder at the start of the reversible adiabatic compression process in IC engine.
Compression Ratio - Compression ratio refers to how much the air-fuel mixture is squeezed in the cylinder before ignition. It's essentially the ratio between the volume of the cylinder at BDC to TDC.
Heat Capacity Ratio - The Heat Capacity Ratio or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume.
Pressure Ratio - Pressure ratio is the ratio of the maximum pressure during combustion to the minimum pressure at the end of exhaust, reflecting compression and expansion characteristics of the engine cycle.
STEP 1: Convert Input(s) to Base Unit
Pressure at Start of Isentropic Compression: 110 Kilopascal --> 110000 Pascal (Check conversion ​here)
Compression Ratio: 20 --> No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required
Pressure Ratio: 3.34 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PO = P1*r*(((r^(γ-1)-1)*(rp-1))/((r-1)*(γ-1))) --> 110000*20*(((20^(1.4-1)-1)*(3.34-1))/((20-1)*(1.4-1)))
Evaluating ... ...
PO = 1567738.06332451
STEP 3: Convert Result to Output's Unit
1567738.06332451 Pascal -->1567.73806332451 Kilopascal (Check conversion ​here)
FINAL ANSWER
1567.73806332451 1567.738 Kilopascal <-- Mean Effective Pressure of Otto Cycle
(Calculation completed in 00.004 seconds)

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Air Standard Cycles Calculators

Mean Effective Pressure in Dual Cycle
​ LaTeX ​ Go Mean Effective Pressure of Dual Cycle = Pressure at Start of Isentropic Compression*(Compression Ratio^Heat Capacity Ratio*((Pressure Ratio in Dual Cycle-1)+Heat Capacity Ratio*Pressure Ratio in Dual Cycle*(Cut-off Ratio-1))-Compression Ratio*(Pressure Ratio in Dual Cycle*Cut-off Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))
Mean Effective Pressure in Diesel Cycle
​ LaTeX ​ Go Mean Effective Pressure of Diesel Cycle = Pressure at Start of Isentropic Compression*(Heat Capacity Ratio*Compression Ratio^Heat Capacity Ratio*(Cut-off Ratio-1)-Compression Ratio*(Cut-off Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))
Mean Effective Pressure in Otto Cycle
​ LaTeX ​ Go Mean Effective Pressure of Otto Cycle = 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)))
Work Output for Otto Cycle
​ LaTeX ​ Go Work Output of Otto Cycle = 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)

Mean Effective Pressure in Otto Cycle Formula

​LaTeX ​Go
Mean Effective Pressure of Otto Cycle = 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)))
PO = P1*r*(((r^(γ-1)-1)*(rp-1))/((r-1)*(γ-1)))

What is the significance of mean effective pressure?

Mean Effective Pressure (MEP) is a crucial parameter used to assess the performance of Internal Combustion Engine. The significance of Mean Effective pressure in analysis of IC Engine are:

1. Work Output Potential: MEP essentially represents a constant pressure that, if applied throughout the engine cycle, would produce the same work output as the varying pressures experienced in the real cycle. It provides a way to compare the work output potential of different engines or the same engine under varying conditions.

2. Performance Benchmark: A higher MEP indicates the engine is generating more work output per unit of cylinder volume. This translates to better engine performance and efficiency, signifying it utilizes fuel energy more effectively to produce work.

How to Calculate Mean Effective Pressure in Otto Cycle?

Mean Effective Pressure in Otto Cycle calculator uses Mean Effective Pressure of Otto Cycle = 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 of Otto Cycle, Mean Effective Pressure in Otto Cycle is a vital parameter that reflects the petrol engine's ability to generate work output. Imagine a constant pressure acting on the engine piston throughout the entire cycle (intake, compression, combustion, exhaust) that would produce the same amount of work output as the actual varying pressure experienced in the real cycle. Mean effective pressure essentially represents that constant pressure. It is calculated based on the engine's geometry (displacement) and the indicator diagram, which depicts the pressure variations within the cylinder throughout the cycle. Mean Effective Pressure of Otto Cycle is denoted by PO 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 -> 1.567738 = 110000*20*(((20^(1.4-1)-1)*(3.34-1))/((20-1)*(1.4-1))).

FAQ

What is Mean Effective Pressure in Otto Cycle?
Mean Effective Pressure in Otto Cycle is a vital parameter that reflects the petrol engine's ability to generate work output. Imagine a constant pressure acting on the engine piston throughout the entire cycle (intake, compression, combustion, exhaust) that would produce the same amount of work output as the actual varying pressure experienced in the real cycle. Mean effective pressure essentially represents that constant pressure. It is calculated based on the engine's geometry (displacement) and the indicator diagram, which depicts the pressure variations within the cylinder throughout the cycle and is represented as PO = P1*r*(((r^(γ-1)-1)*(rp-1))/((r-1)*(γ-1))) or Mean Effective Pressure of Otto Cycle = 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 refers to the pressure exerted by the charge inside the wall of the cylinder at the start of the reversible adiabatic compression process in IC engine, Compression ratio refers to how much the air-fuel mixture is squeezed in the cylinder before ignition. It's essentially the ratio between the volume of the cylinder at BDC to TDC, The Heat Capacity Ratio or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume & Pressure ratio is the ratio of the maximum pressure during combustion to the minimum pressure at the end of exhaust, reflecting compression and expansion characteristics of the engine cycle.
How to calculate Mean Effective Pressure in Otto Cycle?
Mean Effective Pressure in Otto Cycle is a vital parameter that reflects the petrol engine's ability to generate work output. Imagine a constant pressure acting on the engine piston throughout the entire cycle (intake, compression, combustion, exhaust) that would produce the same amount of work output as the actual varying pressure experienced in the real cycle. Mean effective pressure essentially represents that constant pressure. It is calculated based on the engine's geometry (displacement) and the indicator diagram, which depicts the pressure variations within the cylinder throughout the cycle is calculated using Mean Effective Pressure of Otto Cycle = 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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