Mean Effective Pressure in Otto Cycle Calculator

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✖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.ⓘ Pressure at Start of Isentropic Compression [P₁]			+10% -10%
✖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.ⓘ Compression Ratio [r]			+10% -10%
✖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.ⓘ Heat Capacity Ratio [γ]			+10% -10%
✖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.ⓘ Pressure Ratio [r_p]			+10% -10%

✖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.ⓘ Mean Effective Pressure in Otto Cycle [P_O]

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Formula

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Mean Effective Pressure in Otto Cycle

Formula

`"P"_{"O"} = "P"_{"1"}*"r"*((("r"^("γ"-1)-1)*("r"_{"p"}-1))/(("r"-1)*("γ"-1)))`

Example

`"1567.738kPa"="110kPa"*"20"*(((("20")^("1.4"-1)-1)*("3.34"-1))/(("20"-1)*("1.4"-1)))`

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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)))
P_O = P₁*r*(((r^(γ-1)-1)*(r_p-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

P_O = P₁*r*(((r^(γ-1)-1)*(r_p-1))/((r-1)*(γ-1))) --> 110000*20*(((20^(1.4-1)-1)*(3.34-1))/((20-1)*(1.4-1)))

Evaluating ... ...

P_O = 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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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

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All India Shri Shivaji Memorials Society's ,College of Engineering (AISSMS COE PUNE), Pune

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< 18 Air-Standard Cycles Calculators

Mean Effective Pressure in Dual Cycle

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))

Thermal Efficiency of Stirling Cycle given Heat Exchanger Effectiveness

Go Thermal Efficiency of Stirling Cycle = 100*(([R]*ln(Compression Ratio)*(Final Temperature-Initial Temperature))/([R]*Final Temperature*ln(Compression Ratio)+Molar Specific Heat Capacity at Constant Volume*(1-Effectiveness of Heat Exchanger)*(Final Temperature-Initial Temperature)))

Work Output for Dual Cycle

Go Work Output of Dual Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*(Compression Ratio^(Heat Capacity Ratio-1)*(Heat Capacity Ratio*Pressure Ratio*(Cut-off Ratio-1)+(Pressure Ratio-1))-(Pressure Ratio*Cut-off Ratio^(Heat Capacity Ratio)-1))/(Heat Capacity Ratio-1)

Work Output for Diesel Cycle

Go Work Output of Diesel Cycle = Pressure at Start of Isentropic Compression*Volume at 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)

Mean Effective Pressure in Diesel Cycle

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))

Thermal Efficiency of Dual Cycle

Go Thermal Efficiency of Dual Cycle = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1))*((Pressure Ratio in Dual Cycle*Cut-off Ratio^Heat Capacity Ratio-1)/(Pressure Ratio in Dual Cycle-1+Pressure Ratio in Dual Cycle*Heat Capacity Ratio*(Cut-off Ratio-1))))

Mean Effective Pressure in Otto Cycle

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)))

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 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)

Air Standard Efficiency for Diesel Engines

Go Efficiency of Diesel Cycle = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1))*(Cut-off Ratio^(Heat Capacity Ratio)-1)/(Heat Capacity Ratio*(Cut-off Ratio-1)))

Thermal Efficiency of Diesel Cycle

Go Thermal Efficiency of Diesel Cycle = 1-1/Compression Ratio^(Heat Capacity Ratio-1)*(Cut-off Ratio^Heat Capacity Ratio-1)/(Heat Capacity Ratio*(Cut-off 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 Efficiency of Otto Cycle = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1)))

Thermal Efficiency of Otto Cycle

Go Thermal Efficiency of Otto Cycle = 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 Efficiency = Indicated Thermal Efficiency/Relative Efficiency

Actual Air Fuel Ratio

Go Actual Air Fuel Ratio = Mass of Air/Mass of Fuel

Mean Effective Pressure in Otto Cycle Formula

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 P_O 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 (r_p) 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 P_O = P₁*r*(((r^(γ-1)-1)*(r_p-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 (r_p). 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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