Indicated Thermal Efficiency given Relative Efficiency Calculator

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Engine Performance Parameters

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✖The Relative Efficiency of an I.C. engine is the ratio of indicated thermal efficiency to the thermal efficiency of a theoretically reversible cycle.ⓘ Relative Efficiency [η_rel]			+10% -10%
✖Air Standard Efficiency (in %) is the efficiency of the engine using air as the working medium. This efficiency is often called ideal efficiency.ⓘ Air Standard Efficiency [η_air]			+10% -10%

✖Indicated Thermal Efficiency is given by the ratio of indicated power generated by the engine to the power generated by the combustion of the fuel.ⓘ Indicated Thermal Efficiency given Relative Efficiency [IDE]

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Formula

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Indicated Thermal Efficiency given Relative Efficiency

Formula

`"IDE" = ("η"_{"rel"}*"η"_{"air"})/100`

Example

`"41.5"=("83"*"50")/100`

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Indicated Thermal Efficiency given Relative Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Indicated Thermal Efficiency = (Relative Efficiency*Air Standard Efficiency)/100
IDE = (η_rel*η_air)/100
This formula uses 3 Variables

Variables Used

Indicated Thermal Efficiency - Indicated Thermal Efficiency is given by the ratio of indicated power generated by the engine to the power generated by the combustion of the fuel.
Relative Efficiency - The Relative Efficiency of an I.C. engine is the ratio of indicated thermal efficiency to the thermal efficiency of a theoretically reversible cycle.
Air Standard Efficiency - Air Standard Efficiency (in %) is the efficiency of the engine using air as the working medium. This efficiency is often called ideal efficiency.

STEP 1: Convert Input(s) to Base Unit

Relative Efficiency: 83 --> No Conversion Required
Air Standard Efficiency: 50 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

IDE = (η_rel*η_air)/100 --> (83*50)/100

Evaluating ... ...

IDE = 41.5

STEP 3: Convert Result to Output's Unit

41.5 --> No Conversion Required

FINAL ANSWER

41.5 <-- Indicated Thermal Efficiency

(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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Indicated Thermal Efficiency given Relative Efficiency Formula

Indicated Thermal Efficiency = (Relative Efficiency*Air Standard Efficiency)/100
IDE = (η_rel*η_air)/100

What is relative efficiency of an IC engine ?

Relative efficiency or 'Efficiency Ratio' is the ratio of indicated thermal efficiency and the air standard efficiency of an IC engine or the ratio of the actual efficiency obtained from an engine to the theoretical efficiency of the engine cycle.

How to Calculate Indicated Thermal Efficiency given Relative Efficiency?

Indicated Thermal Efficiency given Relative Efficiency calculator uses Indicated Thermal Efficiency = (Relative Efficiency*Air Standard Efficiency)/100 to calculate the Indicated Thermal Efficiency, Indicated Thermal Efficiency given Relative Efficiency is the kind of engine thermal efficiency that is given by the ratio of indicated power generated by the engine to the power generated by the combustion of the fuel. It states the amount of power taken by the piston out of the total fuel power. Indicated Thermal Efficiency is denoted by IDE symbol.

How to calculate Indicated Thermal Efficiency given Relative Efficiency using this online calculator? To use this online calculator for Indicated Thermal Efficiency given Relative Efficiency, enter Relative Efficiency (η_rel) & Air Standard Efficiency (η_air) and hit the calculate button. Here is how the Indicated Thermal Efficiency given Relative Efficiency calculation can be explained with given input values -> 41.5 = (83*50)/100.

FAQ

What is Indicated Thermal Efficiency given Relative Efficiency?

Indicated Thermal Efficiency given Relative Efficiency is the kind of engine thermal efficiency that is given by the ratio of indicated power generated by the engine to the power generated by the combustion of the fuel. It states the amount of power taken by the piston out of the total fuel power and is represented as IDE = (η_rel*η_air)/100 or Indicated Thermal Efficiency = (Relative Efficiency*Air Standard Efficiency)/100. The Relative Efficiency of an I.C. engine is the ratio of indicated thermal efficiency to the thermal efficiency of a theoretically reversible cycle & Air Standard Efficiency (in %) is the efficiency of the engine using air as the working medium. This efficiency is often called ideal efficiency.

How to calculate Indicated Thermal Efficiency given Relative Efficiency?

Indicated Thermal Efficiency given Relative Efficiency is the kind of engine thermal efficiency that is given by the ratio of indicated power generated by the engine to the power generated by the combustion of the fuel. It states the amount of power taken by the piston out of the total fuel power is calculated using Indicated Thermal Efficiency = (Relative Efficiency*Air Standard Efficiency)/100. To calculate Indicated Thermal Efficiency given Relative Efficiency, you need Relative Efficiency (η_rel) & Air Standard Efficiency (η_air). With our tool, you need to enter the respective value for Relative Efficiency & Air Standard Efficiency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Indicated Thermal Efficiency?

In this formula, Indicated Thermal Efficiency uses Relative Efficiency & Air Standard Efficiency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Indicated Thermal Efficiency = ((Indicated Power)/(Mass of fuel supplied per second*Calorific value of fuel))*100

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