Thermal Efficiency of Lenoir Cycle Calculator

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✖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%

✖The Thermal Efficiency of Lenoir Cycle (In %) represents the fraction of heat converted into useful work in the engine following the Lenoir cycle.ⓘ Thermal Efficiency of Lenoir Cycle [η_lenoir]

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Formula

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Thermal Efficiency of Lenoir Cycle

Formula

`"η"_{"lenoir"} = 100*(1-"γ"*(("r"_{"p"}^(1/"γ")-1)/("r"_{"p"}-1)))`

Example

`"18.24421"=100*(1-"1.4"*((("3.34")^(1/"1.4")-1)/("3.34"-1)))`

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Thermal Efficiency of Lenoir Cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Efficiency of Lenoir Cycle = 100*(1-Heat Capacity Ratio*((Pressure Ratio^(1/Heat Capacity Ratio)-1)/(Pressure Ratio-1)))
η_lenoir = 100*(1-γ*((r_p^(1/γ)-1)/(r_p-1)))
This formula uses 3 Variables

Variables Used

Thermal Efficiency of Lenoir Cycle - The Thermal Efficiency of Lenoir Cycle (In %) represents the fraction of heat converted into useful work in the engine following the Lenoir 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.
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

Heat Capacity Ratio: 1.4 --> No Conversion Required
Pressure Ratio: 3.34 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_lenoir = 100*(1-γ*((r_p^(1/γ)-1)/(r_p-1))) --> 100*(1-1.4*((3.34^(1/1.4)-1)/(3.34-1)))

Evaluating ... ...

η_lenoir = 18.2442057928894

STEP 3: Convert Result to Output's Unit

18.2442057928894 --> No Conversion Required

FINAL ANSWER

18.2442057928894 ≈ 18.24421 <-- Thermal Efficiency of Lenoir Cycle

(Calculation completed in 00.004 seconds)

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Created by Aditya Prakash Gautam

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

Aditya Prakash Gautam has created this Calculator and 25+ more calculators!

Verified by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, 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

Thermal Efficiency of Lenoir Cycle Formula

Thermal Efficiency of Lenoir Cycle = 100*(1-Heat Capacity Ratio*((Pressure Ratio^(1/Heat Capacity Ratio)-1)/(Pressure Ratio-1)))
η_lenoir = 100*(1-γ*((r_p^(1/γ)-1)/(r_p-1)))

Lenoir Cycle

The Lenoir cycle is an idealized thermodynamic cycle often used to model a pulse jet engine. Lenoir Cycle consists of a constant volume heat addition, Isentropic expansion, and the constant pressure heat rejection processes. There is no compression process for the working fluid.

Due to the absence of the compression process, it will results in less thermal efficiency than the other Air-Standard Cycles such as the Otto Cycle, Diesel Cycle, Dual Cycle.

How to Calculate Thermal Efficiency of Lenoir Cycle?

Thermal Efficiency of Lenoir Cycle calculator uses Thermal Efficiency of Lenoir Cycle = 100*(1-Heat Capacity Ratio*((Pressure Ratio^(1/Heat Capacity Ratio)-1)/(Pressure Ratio-1))) to calculate the Thermal Efficiency of Lenoir Cycle, The Thermal Efficiency of Lenoir Cycle formula is defined as the fraction of heat converted into useful work in the engine following Lenoir cycle. It depends upon the pressure ratio as well as the ratio of specific heats, i.e. adiabatic index. Thermal Efficiency of Lenoir Cycle is denoted by η_lenoir symbol.

How to calculate Thermal Efficiency of Lenoir Cycle using this online calculator? To use this online calculator for Thermal Efficiency of Lenoir Cycle, enter Heat Capacity Ratio (γ) & Pressure Ratio (r_p) and hit the calculate button. Here is how the Thermal Efficiency of Lenoir Cycle calculation can be explained with given input values -> 18.24421 = 100*(1-1.4*((3.34^(1/1.4)-1)/(3.34-1))).

FAQ

What is Thermal Efficiency of Lenoir Cycle?

The Thermal Efficiency of Lenoir Cycle formula is defined as the fraction of heat converted into useful work in the engine following Lenoir cycle. It depends upon the pressure ratio as well as the ratio of specific heats, i.e. adiabatic index and is represented as η_lenoir = 100*(1-γ*((r_p^(1/γ)-1)/(r_p-1))) or Thermal Efficiency of Lenoir Cycle = 100*(1-Heat Capacity Ratio*((Pressure Ratio^(1/Heat Capacity Ratio)-1)/(Pressure Ratio-1))). 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 Thermal Efficiency of Lenoir Cycle?

The Thermal Efficiency of Lenoir Cycle formula is defined as the fraction of heat converted into useful work in the engine following Lenoir cycle. It depends upon the pressure ratio as well as the ratio of specific heats, i.e. adiabatic index is calculated using Thermal Efficiency of Lenoir Cycle = 100*(1-Heat Capacity Ratio*((Pressure Ratio^(1/Heat Capacity Ratio)-1)/(Pressure Ratio-1))). To calculate Thermal Efficiency of Lenoir Cycle, you need Heat Capacity Ratio (γ) & Pressure Ratio (r_p). With our tool, you need to enter the respective value for 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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