Theoretical Propulsive Efficiency Calculator

✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Issuing Jet [V]			+10% -10%
✖Flow Velocity is the velocity of the flow of any fluid.ⓘ Flow Velocity [V_f]			+10% -10%

✖Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.ⓘ Theoretical Propulsive Efficiency [η]

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Formula

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Theoretical Propulsive Efficiency

Formula

`"η" = 2/(1+("V"/"V"_{"f"}))`

Example

`"0.909091"=2/(1+("6m/s"/"5m/s"))`

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Theoretical Propulsive Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of Jet = 2/(1+(Absolute Velocity of Issuing Jet/Flow Velocity))
η = 2/(1+(V/V_f))
This formula uses 3 Variables

Variables Used

Efficiency of Jet - Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
Flow Velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.

STEP 1: Convert Input(s) to Base Unit

Absolute Velocity of Issuing Jet: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Flow Velocity: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = 2/(1+(V/V_f)) --> 2/(1+(6/5))

Evaluating ... ...

η = 0.909090909090909

STEP 3: Convert Result to Output's Unit

0.909090909090909 --> No Conversion Required

FINAL ANSWER

0.909090909090909 ≈ 0.909091 <-- Efficiency of Jet

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Indian Institute of Information Technology (IIIT), Bhopal

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< 14 Momentum Theory of Propellers Calculators

Output Power given Rate of Flow through Propeller

Go Output Power = Water Density*Rate of Flow*Flow Velocity*(Absolute Velocity of Issuing Jet-Flow Velocity)

Flow Velocity given Power Lost

Go Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5)))

Rate of Flow through Propeller

Go Rate of Flow through Propeller = (pi/8)*(Diameter of Turbine^2)*(Absolute Velocity of Issuing Jet+Flow Velocity)

Rate of Flow given Power Lost

Go Rate of Flow = Power Loss/Density of Fluid*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2

Power Lost

Go Power Loss = Density of Fluid*Rate of Flow*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2

Flow Velocity given Rate of Flow through Propeller

Go Flow Velocity = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet

Flow Velocity given Thrust on Propeller

Go Flow Velocity = -(Thrust Force/(Water Density*Rate of Flow))+Absolute Velocity of Issuing Jet

Diameter of Propeller given Thrust on Propeller

Go Diameter of Turbine = sqrt((4/pi)*Thrust Force/Change in Pressure)

Thrust on Propeller

Go Thrust Force = (pi/4)*(Diameter of Turbine^2)*Change in Pressure

Theoretical Propulsive Efficiency

Go Efficiency of Jet = 2/(1+(Absolute Velocity of Issuing Jet/Flow Velocity))

Flow Velocity given Theoretical Propulsive efficiency

Go Flow Velocity = Absolute Velocity of Issuing Jet/(2/Efficiency of Jet-1)

Output Power given Input Power

Go Output Power = Total Input Power-Power Loss

Power Lost given Input Power

Go Power Loss = Total Input Power-Output Power

Input Power

Go Total Input Power = Output Power+Power Loss

Theoretical Propulsive Efficiency Formula

Efficiency of Jet = 2/(1+(Absolute Velocity of Issuing Jet/Flow Velocity))
η = 2/(1+(V/V_f))

What is Propulsive Efficiency?

The efficiency of conversion of kinetic energy to propulsive work is termed the propulsive or external efficiency and this is affected by the amount of kinetic energy wasted by the propelling mechanism.

How to Calculate Theoretical Propulsive Efficiency?

Theoretical Propulsive Efficiency calculator uses Efficiency of Jet = 2/(1+(Absolute Velocity of Issuing Jet/Flow Velocity)) to calculate the Efficiency of Jet, The Theoretical Propulsive Efficiency is defined as efficiency without taking into account the losses of the system. Efficiency of Jet is denoted by η symbol.

How to calculate Theoretical Propulsive Efficiency using this online calculator? To use this online calculator for Theoretical Propulsive Efficiency, enter Absolute Velocity of Issuing Jet (V) & Flow Velocity (V_f) and hit the calculate button. Here is how the Theoretical Propulsive Efficiency calculation can be explained with given input values -> 0.769231 = 2/(1+(6/5)).

FAQ

What is Theoretical Propulsive Efficiency?

The Theoretical Propulsive Efficiency is defined as efficiency without taking into account the losses of the system and is represented as η = 2/(1+(V/V_f)) or Efficiency of Jet = 2/(1+(Absolute Velocity of Issuing Jet/Flow Velocity)). Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller & Flow Velocity is the velocity of the flow of any fluid.

How to calculate Theoretical Propulsive Efficiency?

The Theoretical Propulsive Efficiency is defined as efficiency without taking into account the losses of the system is calculated using Efficiency of Jet = 2/(1+(Absolute Velocity of Issuing Jet/Flow Velocity)). To calculate Theoretical Propulsive Efficiency, you need Absolute Velocity of Issuing Jet (V) & Flow Velocity (V_f). With our tool, you need to enter the respective value for Absolute Velocity of Issuing Jet & Flow Velocity 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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