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)))
ηlenoir = 100*(1-γ*((rp^(1/γ)-1)/(rp-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 heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Pressure Ratio - Pressure Ratio is ratio of final to initial pressure.
STEP 1: Convert Input(s) to Base Unit
Heat Capacity Ratio: 1.4 --> No Conversion Required
Pressure Ratio: 5.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηlenoir = 100*(1-γ*((rp^(1/γ)-1)/(rp-1))) --> 100*(1-1.4*((5.5^(1/1.4)-1)/(5.5-1)))
Evaluating ... ...
ηlenoir = 25.9764269409746
STEP 3: Convert Result to Output's Unit
25.9764269409746 --> No Conversion Required
FINAL ANSWER
25.9764269409746 25.97643 <-- Thermal Efficiency of Lenoir Cycle
(Calculation completed in 00.004 seconds)

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18 Air-Standard Cycles Calculators

Thermal Efficiency of Stirling Cycle given Heat Exchanger Effectiveness
Go Thermal Efficiency of Stirling Cycle = 100*((Universal Gas Constant*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)))
Mean Effective Pressure in Dual Cycle
Go Mean Effective Pressure of Dual Cycle = Pressure at Start of Isentropic Compression*(Compression Ratio^Heat Capacity Ratio*((Explosion Ratio-1)+Heat Capacity Ratio*Explosion Ratio*(Cutoff Ratio-1))-Compression Ratio*(Explosion Ratio*Cutoff Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))
Work Output for Dual Cycle
Go Work Output of Engine = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*(Compression Ratio^(Heat Capacity Ratio-1)*(Heat Capacity Ratio*Pressure Ratio*(Cutoff Ratio-1)+(Pressure Ratio-1))-(Pressure Ratio*Cutoff Ratio^(Heat Capacity Ratio)-1))/(Heat Capacity Ratio-1)
Work Output for Diesel Cycle
Go Work Output of Engine = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*(Compression Ratio^(Heat Capacity Ratio-1)*(Heat Capacity Ratio*(Cutoff Ratio-1)-Compression Ratio^(1-Heat Capacity Ratio)*(Cutoff Ratio^(Heat Capacity Ratio)-1)))/(Heat Capacity Ratio-1)
Mean Effective Pressure in Diesel Cycle
Go Mean Effective Pressure in Diesel Cycle = Pressure at Start of Isentropic Compression*(Heat Capacity Ratio*Compression Ratio^Heat Capacity Ratio*(Cutoff Ratio-1)-Compression Ratio*(Cutoff 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))*((Explosion Ratio*Cutoff Ratio^Heat Capacity Ratio-1)/(Explosion Ratio-1+Explosion Ratio*Heat Capacity Ratio*(Cutoff Ratio-1))))
Mean Effective Pressure in Otto Cycle
Go Mean Effective Pressure = 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 Engine = 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)
Thermal Efficiency of Diesel Cycle
Go Thermal Efficiency of Diesel Cycle = 100*(1-1/Compression Ratio^(Heat Capacity Ratio-1)*(Cutoff Ratio^Heat Capacity Ratio-1)/(Heat Capacity Ratio*(Cutoff Ratio-1)))
Air Standard Efficiency for Diesel Engines
Go Air Standard Efficiency = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1))*(Cutoff Ratio^(Heat Capacity Ratio)-1)/(Heat Capacity Ratio*(Cutoff 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 = 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)))
ηlenoir = 100*(1-γ*((rp^(1/γ)-1)/(rp-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 ηlenoir 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 (rp) and hit the calculate button. Here is how the Thermal Efficiency of Lenoir Cycle calculation can be explained with given input values -> 25.97643 = 100*(1-1.4*((5.5^(1/1.4)-1)/(5.5-1))).

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 ηlenoir = 100*(1-γ*((rp^(1/γ)-1)/(rp-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 heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Pressure Ratio is ratio of final to initial pressure.
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 (rp). 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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