Propulsive Efficiency given Effective Speed Ratio Calculator

✖Effective Speed Ratio is the ratio of aircraft forward speed to the aircraft jet velocity.ⓘ Effective Speed Ratio [α]

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✖Propulsive efficiency is the efficiency with which the energy contained in a fuel is converted into kinetic energy of the vehicle.ⓘ Propulsive Efficiency given Effective Speed Ratio [η_propulsive]

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Formula

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Propulsive Efficiency given Effective Speed Ratio

Formula

`"η"_{"propulsive"} = (2*"α")/(1+"α")`

Example

`"0.618307"=(2*"0.4475")/(1+"0.4475")`

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Propulsive Efficiency given Effective Speed Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio)
η_propulsive = (2*α)/(1+α)
This formula uses 2 Variables

Variables Used

Propulsive Efficiency - Propulsive efficiency is the efficiency with which the energy contained in a fuel is converted into kinetic energy of the vehicle.
Effective Speed Ratio - Effective Speed Ratio is the ratio of aircraft forward speed to the aircraft jet velocity.

STEP 1: Convert Input(s) to Base Unit

Effective Speed Ratio: 0.4475 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_propulsive = (2*α)/(1+α) --> (2*0.4475)/(1+0.4475)

Evaluating ... ...

η_propulsive = 0.618307426597582

STEP 3: Convert Result to Output's Unit

0.618307426597582 --> No Conversion Required

FINAL ANSWER

0.618307426597582 ≈ 0.618307 <-- Propulsive Efficiency

(Calculation completed in 00.004 seconds)

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< 12 Efficiency Metrics Calculators

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Go Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor))

Change in Kinetic Energy of Jet Engine

Go Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2))/2

Propulsive power

Go Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^2))

Thermal Efficiency of Jet Engines given Effective Speed Ratio

Go Thermal Efficiency = (Exit Velocity^2*(1-Effective Speed Ratio^2))/(2*Fuel Air Ratio*Fuel Calorific Value)

Overall Efficiency of Propulsive System

Go Propulsive System Overall Efficiency = Thermal Efficiency*Efficiency of Transmission*Propulsive Efficiency

Overall Efficiency given Specific Fuel Consumption

Go Overall Efficiency = Flight Speed/(Thrust-Specific Fuel Consumption*Fuel Calorific Value)

Propulsive efficiency given aircraft velocity

Go Propulsive Efficiency = (2*Flight Speed)/(Exit Velocity+Flight Speed)

Transmission Efficiency given Output and Input of Transmission

Go Efficiency of Transmission = Transmission Output Power/Transmission Input Power

Propulsive Efficiency given Effective Speed Ratio

Go Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio)

Isentropic Efficiency of Expansion Machine

Go Turbine Efficiency = Actual Work/Isentropic Work Output

Propulsive efficiency

Go Propulsive Efficiency = Thrust Power/Propulsive Power

Effective speed ratio

Go Effective Speed Ratio = Flight Speed/Exit Velocity

Propulsive Efficiency given Effective Speed Ratio Formula

Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio)
η_propulsive = (2*α)/(1+α)

What is propulsive efficiency?

Propulsive efficiency is the efficiency with which the energy contained in a fuel is converted into kinetic energy of the vehicle.

How to Calculate Propulsive Efficiency given Effective Speed Ratio?

Propulsive Efficiency given Effective Speed Ratio calculator uses Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio) to calculate the Propulsive Efficiency, Propulsive Efficiency given Effective Speed Ratio is a measure of the effectiveness of a propeller or a rotor in converting the engine's power into useful thrust, taking into account the speed at which the propeller or rotor operates and the speed of the surrounding fluid. Propulsive Efficiency is denoted by η_propulsive symbol.

How to calculate Propulsive Efficiency given Effective Speed Ratio using this online calculator? To use this online calculator for Propulsive Efficiency given Effective Speed Ratio, enter Effective Speed Ratio (α) and hit the calculate button. Here is how the Propulsive Efficiency given Effective Speed Ratio calculation can be explained with given input values -> 0.618307 = (2*0.4475)/(1+0.4475).

FAQ

What is Propulsive Efficiency given Effective Speed Ratio?

Propulsive Efficiency given Effective Speed Ratio is a measure of the effectiveness of a propeller or a rotor in converting the engine's power into useful thrust, taking into account the speed at which the propeller or rotor operates and the speed of the surrounding fluid and is represented as η_propulsive = (2*α)/(1+α) or Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio). Effective Speed Ratio is the ratio of aircraft forward speed to the aircraft jet velocity.

How to calculate Propulsive Efficiency given Effective Speed Ratio?

Propulsive Efficiency given Effective Speed Ratio is a measure of the effectiveness of a propeller or a rotor in converting the engine's power into useful thrust, taking into account the speed at which the propeller or rotor operates and the speed of the surrounding fluid is calculated using Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio). To calculate Propulsive Efficiency given Effective Speed Ratio, you need Effective Speed Ratio (α). With our tool, you need to enter the respective value for Effective Speed Ratio 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 Propulsive Efficiency?

In this formula, Propulsive Efficiency uses Effective Speed Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

Propulsive Efficiency = Thrust Power/Propulsive Power
Propulsive Efficiency = (2*Flight Speed)/(Exit Velocity+Flight Speed)

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