Mean Effective Pressure in Diesel 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%
✖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%
✖Compression ratio is ratio of volume of cylinder to volume combustion chamber.ⓘ Compression Ratio [r]			+10% -10%
✖Cut-off ratio is the ratio of the volume of combustion chamber after combustion to the volume of combustion chamber before combustion.ⓘ Cut-off Ratio [r_c]			+10% -10%

✖The Mean Effective Pressure of Diesel Cycle is defined as the ratio of the net work done to the displacement volume of the piston.ⓘ Mean Effective Pressure in Diesel Cycle [P_{m (Diesel)}]

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Formula

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Mean Effective Pressure in Diesel Cycle

Formula

`"P"_{"m (Diesel)"} = "P"_{"1"}*("γ"*"r"^"γ"*("r"_{"c"}-1)-"r"*("r"_{"c"}^"γ"-1))/(("γ"-1)*("r"-1))`

Example

`"828.2159kPa"="110kPa"*("1.4"*("20")^"1.4"*("1.95"-1)-"20"*(("1.95")^"1.4"-1))/(("1.4"-1)*("20"-1))`

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Mean Effective Pressure in Diesel Cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P_{m (Diesel)} = P₁*(γ*r^γ*(r_c-1)-r*(r_c^γ-1))/((γ-1)*(r-1))
This formula uses 5 Variables

Variables Used

Mean Effective Pressure of Diesel Cycle - (Measured in Pascal) - The Mean Effective Pressure of Diesel Cycle is defined as the ratio of the net work done to the displacement volume of the piston.
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.
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.
Compression Ratio - Compression ratio is ratio of volume of cylinder to volume combustion chamber.
Cut-off Ratio - Cut-off ratio is the ratio of the volume of combustion chamber after combustion to the volume of combustion chamber before combustion.

STEP 1: Convert Input(s) to Base Unit

Pressure at Start of Isentropic Compression: 110 Kilopascal --> 110000 Pascal (Check conversion here)
Heat Capacity Ratio: 1.4 --> No Conversion Required
Compression Ratio: 20 --> No Conversion Required
Cut-off Ratio: 1.95 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{m (Diesel)} = P₁*(γ*r^γ*(r_c-1)-r*(r_c^γ-1))/((γ-1)*(r-1)) --> 110000*(1.4*20^1.4*(1.95-1)-20*(1.95^1.4-1))/((1.4-1)*(20-1))

Evaluating ... ...

P_{m (Diesel)} = 828215.883279842

STEP 3: Convert Result to Output's Unit

828215.883279842 Pascal -->828.215883279842 Kilopascal (Check conversion here)

FINAL ANSWER

828.215883279842 ≈ 828.2159 Kilopascal <-- Mean Effective Pressure of Diesel 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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< 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 Diesel Cycle Formula

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 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)) to calculate the Mean Effective Pressure of 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 of Diesel Cycle is denoted by P_{m (Diesel)} 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 Start of Isentropic Compression (P₁), Heat Capacity Ratio (γ), Compression Ratio (r) & Cut-off Ratio (r_c) and hit the calculate button. Here is how the Mean Effective Pressure in Diesel Cycle calculation can be explained with given input values -> 0.828216 = 110000*(1.4*20^1.4*(1.95-1)-20*(1.95^1.4-1))/((1.4-1)*(20-1)).

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 P_{m (Diesel)} = P₁*(γ*r^γ*(r_c-1)-r*(r_c^γ-1))/((γ-1)*(r-1)) or 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)). 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, 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, Compression ratio is ratio of volume of cylinder to volume combustion chamber & Cut-off ratio is the ratio of the volume of combustion chamber after combustion to the volume of combustion chamber before combustion.

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 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)). To calculate Mean Effective Pressure in Diesel Cycle, you need Pressure at Start of Isentropic Compression (P₁), Heat Capacity Ratio (γ), Compression Ratio (r) & Cut-off Ratio (r_c). With our tool, you need to enter the respective value for Pressure at Start of Isentropic Compression, Heat Capacity Ratio, Compression Ratio & Cut-off 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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