Diesel Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diesel Efficiency = 1-1/(Compression Ratio^Gamma-1)*(Cutoff Ratio^Gamma-1/(Gamma*(Cutoff Ratio-1)))
DE = 1-1/(r^Y-1)*(Cr^Y-1/(Y*(Cr-1)))
This formula uses 4 Variables
Variables Used
Diesel Efficiency - Diesel efficiency is a combustion process of a reciprocating internal combustion engine.
Compression Ratio - Compression ratio is ratio between volume of cylinder and combustion chamber.
Gamma - Gamma is ratio of heat capacities at constant pressure and volume.
Cutoff Ratio - Cutoff Ratio is ratio of final to initial volume.
STEP 1: Convert Input(s) to Base Unit
Compression Ratio: 1.75 --> No Conversion Required
Gamma: 2.6 --> No Conversion Required
Cutoff Ratio: 1.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DE = 1-1/(r^Y-1)*(Cr^Y-1/(Y*(Cr-1))) --> 1-1/(1.75^2.6-1)*(1.2^2.6-1/(2.6*(1.2-1)))
Evaluating ... ...
DE = 1.09639616031208
STEP 3: Convert Result to Output's Unit
1.09639616031208 --> No Conversion Required
FINAL ANSWER
1.09639616031208 1.096396 <-- Diesel Efficiency
(Calculation completed in 00.004 seconds)

Credits

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Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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17 Thermal Efficiency Calculators

Diesel Efficiency
​ Go Diesel Efficiency = 1-1/(Compression Ratio^Gamma-1)*(Cutoff Ratio^Gamma-1/(Gamma*(Cutoff Ratio-1)))
Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency
​ Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency
Volumetric Efficiency given Compression and Pressure Ratio
​ Go Volumetric Efficiency = 1+Compression Ratio+Compression Ratio*Pressure Ratio^(1/Gamma)
Thermal Efficiency of Carnot Engine
​ Go Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir
Brayton Cycle Efficiency
​ Go Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma))
Thermal Efficiency given Mechanical Energy
​ Go Thermal Efficiency given Mechanical energy = Mechanical Energy/Thermal Energy
Thermal Efficiency given Waste Energy
​ Go Thermal efficiency given Waste energy = 1-Waste Heat/Thermal Energy
Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink
​ Go Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature
Nozzle Efficiency
​ Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy
Indicated Thermal Efficiency
​ Go Indicated Thermal Efficiency = Brake Power/Heat Energy
Thermal Efficiency of Heat Engine
​ Go Thermal Efficiency of Heat Engine = Work/Heat Energy
Cooled Compressor Efficiency
​ Go Cooled Compressor Efficiency = Kinetic Energy/Work
Brake Thermal Efficiency
​ Go Brake Thermal Efficiency = Brake Power/Heat Energy
Otto Cycle Efficiency
​ Go OTE = 1-Initial Temperature/Final Temperature
Compressor Efficiency
​ Go Compressor Efficiency = Kinetic Energy/Work
Turbine Efficiency
​ Go Turbine Efficiency = Work/Kinetic Energy
Ranking Cycle Efficiency
​ Go Ranking Cycle = 1-Heat Ratio

Diesel Efficiency Formula

Diesel Efficiency = 1-1/(Compression Ratio^Gamma-1)*(Cutoff Ratio^Gamma-1/(Gamma*(Cutoff Ratio-1)))
DE = 1-1/(r^Y-1)*(Cr^Y-1/(Y*(Cr-1)))

What is the diesel cycle?

The Diesel cycle is assumed to have constant pressure during the initial part of the combustion phase .This is an idealized mathematical model: real physical diesels do have an increase in pressure during this period, but it is less pronounced than in the Otto cycle

How to Calculate Diesel Efficiency?

Diesel Efficiency calculator uses Diesel Efficiency = 1-1/(Compression Ratio^Gamma-1)*(Cutoff Ratio^Gamma-1/(Gamma*(Cutoff Ratio-1))) to calculate the Diesel Efficiency, Diesel Efficiency in a cycle is a combustion process of a reciprocating internal combustion engine. In it, fuel is ignited by heat generated during the compression of air in the combustion chamber, into which fuel is then injected. Diesel Efficiency is denoted by DE symbol.

How to calculate Diesel Efficiency using this online calculator? To use this online calculator for Diesel Efficiency, enter Compression Ratio (r), Gamma (Y) & Cutoff Ratio (Cr) and hit the calculate button. Here is how the Diesel Efficiency calculation can be explained with given input values -> -0.728809 = 1-1/(1.75^2.6-1)*(1.2^2.6-1/(2.6*(1.2-1))).

FAQ

What is Diesel Efficiency?
Diesel Efficiency in a cycle is a combustion process of a reciprocating internal combustion engine. In it, fuel is ignited by heat generated during the compression of air in the combustion chamber, into which fuel is then injected and is represented as DE = 1-1/(r^Y-1)*(Cr^Y-1/(Y*(Cr-1))) or Diesel Efficiency = 1-1/(Compression Ratio^Gamma-1)*(Cutoff Ratio^Gamma-1/(Gamma*(Cutoff Ratio-1))). Compression ratio is ratio between volume of cylinder and combustion chamber, Gamma is ratio of heat capacities at constant pressure and volume & Cutoff Ratio is ratio of final to initial volume.
How to calculate Diesel Efficiency?
Diesel Efficiency in a cycle is a combustion process of a reciprocating internal combustion engine. In it, fuel is ignited by heat generated during the compression of air in the combustion chamber, into which fuel is then injected is calculated using Diesel Efficiency = 1-1/(Compression Ratio^Gamma-1)*(Cutoff Ratio^Gamma-1/(Gamma*(Cutoff Ratio-1))). To calculate Diesel Efficiency, you need Compression Ratio (r), Gamma (Y) & Cutoff Ratio (Cr). With our tool, you need to enter the respective value for Compression Ratio, Gamma & Cutoff 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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