Air Standard Efficiency given Relative Efficiency Calculator

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✖Indicated Thermal Efficiency (in %) 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 [η_i-th]			+10% -10%
✖The Relative Efficiency (in %) 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 given Relative Efficiency [η_air-stnd]

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Formula

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Air Standard Efficiency given Relative Efficiency

Formula

`"η"_{"air-stnd"} = "η"_{"i-th"}/"η"_{"rel"}`

Example

`"0.506024"="42"/"83"`

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Air Standard Efficiency given Relative Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Air Standard Efficiency = Indicated Thermal Efficiency/Relative Efficiency
η_air-stnd = η_i-th/η_rel
This formula uses 3 Variables

Variables Used

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.
Indicated Thermal Efficiency - Indicated Thermal Efficiency (in %) 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 (in %) of an I.C. engine is the ratio of indicated thermal efficiency to the thermal efficiency of a theoretically reversible cycle.

STEP 1: Convert Input(s) to Base Unit

Indicated Thermal Efficiency: 42 --> No Conversion Required
Relative Efficiency: 83 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_air-stnd = η_i-th/η_rel --> 42/83

Evaluating ... ...

η_air-stnd = 0.506024096385542

STEP 3: Convert Result to Output's Unit

0.506024096385542 --> No Conversion Required

FINAL ANSWER

0.506024096385542 ≈ 0.506024 <-- Air Standard 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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< 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

Air Standard Efficiency given Relative Efficiency Formula

Air Standard Efficiency = Indicated Thermal Efficiency/Relative Efficiency
η_air-stnd = η_i-th/η_rel

What are the assumptions for Air Standard Efficiency ?

Air Standard Efficiency assumes :
- No transfer of heat between the working surfaces and the air.
- Instantaneous and complete combustion.
- No change in volume during the combustion (constant volume).
- Specific heat capacity is assumed to be constant.

How to Calculate Air Standard Efficiency given Relative Efficiency?

Air Standard Efficiency given Relative Efficiency calculator uses Air Standard Efficiency = Indicated Thermal Efficiency/Relative Efficiency to calculate the Air Standard Efficiency, The Air Standard Efficiency given Relative Efficiency formula is defined as ratio of indicated thermal efficiency and the relative efficiency of an IC engine. Air Standard Efficiency is denoted by η_air-stnd symbol.

How to calculate Air Standard Efficiency given Relative Efficiency using this online calculator? To use this online calculator for Air Standard Efficiency given Relative Efficiency, enter Indicated Thermal Efficiency (η_i-th) & Relative Efficiency (η_rel) and hit the calculate button. Here is how the Air Standard Efficiency given Relative Efficiency calculation can be explained with given input values -> 0.506024 = 42/83.

FAQ

What is Air Standard Efficiency given Relative Efficiency?

The Air Standard Efficiency given Relative Efficiency formula is defined as ratio of indicated thermal efficiency and the relative efficiency of an IC engine and is represented as η_air-stnd = η_i-th/η_rel or Air Standard Efficiency = Indicated Thermal Efficiency/Relative Efficiency. Indicated Thermal Efficiency (in %) is given by the ratio of indicated power generated by the engine to the power generated by the combustion of the fuel & The Relative Efficiency (in %) of an I.C. engine is the ratio of indicated thermal efficiency to the thermal efficiency of a theoretically reversible cycle.

How to calculate Air Standard Efficiency given Relative Efficiency?

The Air Standard Efficiency given Relative Efficiency formula is defined as ratio of indicated thermal efficiency and the relative efficiency of an IC engine is calculated using Air Standard Efficiency = Indicated Thermal Efficiency/Relative Efficiency. To calculate Air Standard Efficiency given Relative Efficiency, you need Indicated Thermal Efficiency (η_i-th) & Relative Efficiency (η_rel). With our tool, you need to enter the respective value for Indicated Thermal Efficiency & Relative Efficiency 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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