Mean Effective Pressure in Otto Cycle Calculator

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✖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.ⓘ Pressure at Start of Isentropic Compression [P₁]			+10% -10%
✖Compression ratio is ratio of volume of cylinder to volume combustion chamber.ⓘ Compression Ratio [r]			+10% -10%
✖The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heat at constant pressure to specific heat at constant volume of air.ⓘ Heat Capacity Ratio [γ]			+10% -10%
✖Pressure ratio is the ratio of final to initial pressure inside bore of the engine.ⓘ Pressure Ratio [r_p]			+10% -10%

✖Mean effective pressure of otto cycle can be expressed as the ratio of work output to swept volume of cylinder bore.ⓘ Mean Effective Pressure in Otto Cycle [P_{m (Otto)}]

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Formula

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Mean Effective Pressure in Otto Cycle

Formula

`"P"_{"m (Otto)"} = "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_{m (Otto)} = 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 can be expressed as the ratio of work output to swept volume of cylinder bore.
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 of volume of cylinder to volume combustion chamber.
Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heat at constant pressure to specific heat at constant volume of air.
Pressure Ratio - Pressure ratio is the ratio of final to initial pressure inside bore of the engine.

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_{m (Otto)} = 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_{m (Otto)} = 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

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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))/(Universal Gas Constant*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 Air Standard 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 = 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 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 of Otto Cycle = 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

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, 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 of Otto Cycle is denoted by P_{m (Otto)} 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?

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 P_{m (Otto)} = 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 is the pressure inside the piston cylinder at the start of the isentropic compression process in an otto cycle, Compression ratio is ratio of volume of cylinder to volume combustion chamber, The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heat at constant pressure to specific heat at constant volume of air & Pressure ratio is the ratio of final to initial pressure inside bore of the engine.

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 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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