Work Output for Diesel 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%
✖Volume at Start of Isentropic Compression is the volume of the engine cylinder before reversible adiabatic process, keeping entropy as constant. It is essentially the swept volume of the cylinder.ⓘ Volume at Start of Isentropic Compression [V₁]			+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%
✖Cut-off ratio is the ratio of the cylinder volume at the start of compression stroke to the volume at the end of expansion stroke. It's a measure of piston's compression of the charge before ignition.ⓘ Cut-off Ratio [r_c]			+10% -10%

✖Work output of diesel cycle is the net difference between the work done on the gas during compression and the work done by the gas during expansion. It is the area enclosed by p-v diagram.ⓘ Work Output for Diesel Cycle [W_d]

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Formula

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Work Output for Diesel Cycle

Formula

`"W"_{"d"} = "P"_{"1"}*"V"_{"1"}*("r"^("γ"-1)*("γ"*("r"_{"c"}-1)-"r"^(1-"γ")*("r"_{"c"}^("γ")-1)))/("γ"-1)`

Example

`"511.4233KJ"="110kPa"*"0.65m³"*(("20")^("1.4"-1)*("1.4"*("1.95"-1)-("20")^(1-"1.4")*(("1.95")^("1.4")-1)))/("1.4"-1)`

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Work Output for Diesel Cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_d = P₁*V₁*(r^(γ-1)*(γ*(r_c-1)-r^(1-γ)*(r_c^(γ)-1)))/(γ-1)
This formula uses 6 Variables

Variables Used

Work Output of Diesel Cycle - (Measured in Joule) - Work output of diesel cycle is the net difference between the work done on the gas during compression and the work done by the gas during expansion. It is the area enclosed by p-v diagram.
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.
Volume at Start of Isentropic Compression - (Measured in Cubic Meter) - Volume at Start of Isentropic Compression is the volume of the engine cylinder before reversible adiabatic process, keeping entropy as constant. It is essentially the swept volume of the cylinder.
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.
Cut-off Ratio - Cut-off ratio is the ratio of the cylinder volume at the start of compression stroke to the volume at the end of expansion stroke. It's a measure of piston's compression of the charge before ignition.

STEP 1: Convert Input(s) to Base Unit

Pressure at Start of Isentropic Compression: 110 Kilopascal --> 110000 Pascal (Check conversion here)
Volume at Start of Isentropic Compression: 0.65 Cubic Meter --> 0.65 Cubic Meter No Conversion Required
Compression Ratio: 20 --> No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required
Cut-off Ratio: 1.95 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_d = P₁*V₁*(r^(γ-1)*(γ*(r_c-1)-r^(1-γ)*(r_c^(γ)-1)))/(γ-1) --> 110000*0.65*(20^(1.4-1)*(1.4*(1.95-1)-20^(1-1.4)*(1.95^(1.4)-1)))/(1.4-1)

Evaluating ... ...

W_d = 511423.307925302

STEP 3: Convert Result to Output's Unit

511423.307925302 Joule -->511.423307925302 Kilojoule (Check conversion here)

FINAL ANSWER

511.423307925302 ≈ 511.4233 Kilojoule <-- Work Output of Diesel Cycle

(Calculation completed in 00.004 seconds)

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Created by Aditya Prakash Gautam

Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

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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

Work Output for Diesel Cycle Formula

How diesel engines Works?

Diesel engines differ from gasoline engines by using compressed air for ignition. Here's the basic process:

1. Intake: Fresh air gets sucked into the cylinder by a descending piston.
2. Compression: The piston rises, squeezing the air to a high pressure, which also heats it significantly.
3. Injection & Ignition: Near the top, a fine mist of diesel fuel is injected. The hot compressed air ignites the fuel without a spark plug.
4. Combustion & Power: Rapid burning creates hot, high-pressure gas that pushes the piston down, generating power.
5. Exhaust: The piston rises again, forcing out the burned gases through an open exhaust valve.

The cycle then repeats. Diesel engines are known for their efficiency and torque, making them ideal for powering trucks and heavy machinery.

How to Calculate Work Output for Diesel Cycle?

Work Output for Diesel Cycle calculator uses 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) to calculate the Work Output of Diesel Cycle, Work Output for Diesel Cycle refers to the net mechanical work obtained by the diesel engine during the power stroke. This work is calculated as the area enclosed by the pressure-volume (P-V) diagram of the diesel cycle. It represents the usable energy extracted from the fuel by the engine. It is a crucial parameter for determining the efficiency of the engine. Work Output of Diesel Cycle is denoted by W_d symbol.

How to calculate Work Output for Diesel Cycle using this online calculator? To use this online calculator for Work Output for Diesel Cycle, enter Pressure at Start of Isentropic Compression (P₁), Volume at Start of Isentropic Compression (V₁), Compression Ratio (r), Heat Capacity Ratio (γ) & Cut-off Ratio (r_c) and hit the calculate button. Here is how the Work Output for Diesel Cycle calculation can be explained with given input values -> 0.511423 = 110000*0.65*(20^(1.4-1)*(1.4*(1.95-1)-20^(1-1.4)*(1.95^(1.4)-1)))/(1.4-1).

FAQ

What is Work Output for Diesel Cycle?

Work Output for Diesel Cycle refers to the net mechanical work obtained by the diesel engine during the power stroke. This work is calculated as the area enclosed by the pressure-volume (P-V) diagram of the diesel cycle. It represents the usable energy extracted from the fuel by the engine. It is a crucial parameter for determining the efficiency of the engine and is represented as W_d = P₁*V₁*(r^(γ-1)*(γ*(r_c-1)-r^(1-γ)*(r_c^(γ)-1)))/(γ-1) or 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). 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, Volume at Start of Isentropic Compression is the volume of the engine cylinder before reversible adiabatic process, keeping entropy as constant. It is essentially the swept volume of the cylinder, 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 & Cut-off ratio is the ratio of the cylinder volume at the start of compression stroke to the volume at the end of expansion stroke. It's a measure of piston's compression of the charge before ignition.

How to calculate Work Output for Diesel Cycle?

Work Output for Diesel Cycle refers to the net mechanical work obtained by the diesel engine during the power stroke. This work is calculated as the area enclosed by the pressure-volume (P-V) diagram of the diesel cycle. It represents the usable energy extracted from the fuel by the engine. It is a crucial parameter for determining the efficiency of the engine is calculated using 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). To calculate Work Output for Diesel Cycle, you need Pressure at Start of Isentropic Compression (P₁), Volume at Start of Isentropic Compression (V₁), Compression Ratio (r), Heat Capacity Ratio (γ) & Cut-off Ratio (r_c). With our tool, you need to enter the respective value for Pressure at Start of Isentropic Compression, Volume at Start of Isentropic Compression, Compression Ratio, Heat Capacity 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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