HCF of two numbers

Thermal Efficiency of Lenoir Cycle Calculator

Physics Chemistry Engineering Financial More >>

↳

Mechanical Aerospace Basic Physics Others and Extra

⤿

IC Engine Automobile Design of Automobile Elements Design of Machine Elements More >>

⤿

Air Standard Cycles Design of IC Engine Components Engine Performance Parameters Fuel Injection in IC Engine

✖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%
✖Pressure ratio is the ratio of the maximum pressure during combustion to the minimum pressure at the end of exhaust, reflecting compression and expansion characteristics of the engine cycle.ⓘ Pressure Ratio [r_p]			+10% -10%

✖The Thermal Efficiency of Lenoir Cycle represents the effectiveness of Lenoir engine. It is measured by comparing how much work is done through out the system to the heat supplied to the system.ⓘ Thermal Efficiency of Lenoir Cycle [η_l]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Air Standard Cycles Formulas PDF PDF Image

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_l = 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 represents the effectiveness of Lenoir engine. It is measured by comparing how much work is done through out the system to the heat supplied to the system.
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.
Pressure Ratio - Pressure ratio is the ratio of the maximum pressure during combustion to the minimum pressure at the end of exhaust, reflecting compression and expansion characteristics of the engine cycle.

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_l = 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_l = 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)

You are here -

Home » Physics » IC Engine » Mechanical » Air Standard Cycles » Thermal Efficiency of Lenoir Cycle

Credits

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

Vivek Gaikwad has verified this Calculator and 3 more calculators!

< Air Standard Cycles Calculators

Mean Effective Pressure in Dual Cycle

LaTeX 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))

Mean Effective Pressure in Diesel Cycle

LaTeX 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))

Mean Effective Pressure in Otto Cycle

LaTeX 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)))

Work Output for Otto Cycle

LaTeX 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)

Thermal Efficiency of Lenoir Cycle Formula

LaTeX Go

Thermal Efficiency of Lenoir Cycle = 100*(1-Heat Capacity Ratio*((Pressure Ratio^(1/Heat Capacity Ratio)-1)/(Pressure Ratio-1)))
η_l = 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, Thermal Efficiency of Lenoir Cycle refers to the effectiveness of a heat engine following Lenoir cycle, or in other words how much work is done by the engine corresponding to the heat input. This efficiency would likely depend on the pressure ratio during combustion and the specific heat ratio (adiabatic index) of the working fluid. Thermal Efficiency of Lenoir Cycle is denoted by η_l 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?

Thermal Efficiency of Lenoir Cycle refers to the effectiveness of a heat engine following Lenoir cycle, or in other words how much work is done by the engine corresponding to the heat input. This efficiency would likely depend on the pressure ratio during combustion and the specific heat ratio (adiabatic index) of the working fluid and is represented as η_l = 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 or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume & Pressure ratio is the ratio of the maximum pressure during combustion to the minimum pressure at the end of exhaust, reflecting compression and expansion characteristics of the engine cycle.

How to calculate Thermal Efficiency of Lenoir Cycle?

Thermal Efficiency of Lenoir Cycle refers to the effectiveness of a heat engine following Lenoir cycle, or in other words how much work is done by the engine corresponding to the heat input. This efficiency would likely depend on the pressure ratio during combustion and the specific heat ratio (adiabatic index) of the working fluid 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.

Home

FREE PDFs

🔍 Search