Propulsion Efficiency Calculator

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Rocket Propulsion

Components of Gas Turbine

Jet Propulsion

Thermodynamics and Governing Equations

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✖Vehicle Speed typically refers to an extremely fast pace or velocity, often likened to the speed of a rocket.ⓘ Vehicle Speed [v₀]			+10% -10%
✖Exhaust Speed represents the velocity of the rocket relative to its exhaust.ⓘ Exhaust Speed [v₉]			+10% -10%

✖Propulsion Efficiency is defined as the ratio of propulsive power to work done on the fluid.ⓘ Propulsion Efficiency [η_prop]

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Formula

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Propulsion Efficiency

Formula

`"η"_{"prop"} = (2*("v"_{"0"}/"v"_{"9"}))/(1+("v"_{"0"}/"v"_{"9"})^2)`

Example

`"0.019742"=(2*("234m/s"/"2.31m/s"))/(1+("234m/s"/"2.31m/s")^2)`

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Propulsion Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2)
η_prop = (2*(v₀/v₉))/(1+(v₀/v₉)^2)
This formula uses 3 Variables

Variables Used

Propulsion Efficiency - Propulsion Efficiency is defined as the ratio of propulsive power to work done on the fluid.
Vehicle Speed - (Measured in Meter per Second) - Vehicle Speed typically refers to an extremely fast pace or velocity, often likened to the speed of a rocket.
Exhaust Speed - (Measured in Meter per Second) - Exhaust Speed represents the velocity of the rocket relative to its exhaust.

STEP 1: Convert Input(s) to Base Unit

Vehicle Speed: 234 Meter per Second --> 234 Meter per Second No Conversion Required
Exhaust Speed: 2.31 Meter per Second --> 2.31 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_prop = (2*(v₀/v₉))/(1+(v₀/v₉)^2) --> (2*(234/2.31))/(1+(234/2.31)^2)

Evaluating ... ...

η_prop = 0.0197416658721736

STEP 3: Convert Result to Output's Unit

0.0197416658721736 --> No Conversion Required

FINAL ANSWER

0.0197416658721736 ≈ 0.019742 <-- Propulsion Efficiency

(Calculation completed in 00.004 seconds)

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Home » Physics » Aeroengines » Rocket Propulsion » Nozzles » Propulsion Efficiency

Credits

Created by LOKESH

Sri Ramakrishna Engineering College (SREC), COIMBATORE

LOKESH has created this Calculator and 25+ more calculators!

Verified by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< 3 Nozzles Calculators

Propulsion Efficiency

Go Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2)

Specific Volume at Throat

Go Specific Volume = Inlet Volume*((Specific Heat Ratio+1)/2)^(1/(Specific Heat Ratio-1))

Specific Temperature at Throat

Go Specific Temperature = (2*Temperature at Chamber)/(Specific Heat Ratio+1)

Propulsion Efficiency Formula

Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2)
η_prop = (2*(v₀/v₉))/(1+(v₀/v₉)^2)

What is Efficiency?

Efficiency typically refers to the effectiveness with which the rocket engine converts the energy stored in its propellant into useful thrust.

How to Calculate Propulsion Efficiency?

Propulsion Efficiency calculator uses Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2) to calculate the Propulsion Efficiency, Propulsion Efficiency formula itself calculates the propulsive efficiency based on the ratio of the effective exhaust velocity to the velocity of the rocket relative to its exhaust, it quantifies how efficiently the propulsion system converts the energy of the propellant into forward thrust, providing valuable insights into the performance of the rocket propulsion system. Propulsion Efficiency is denoted by η_prop symbol.

How to calculate Propulsion Efficiency using this online calculator? To use this online calculator for Propulsion Efficiency, enter Vehicle Speed (v₀) & Exhaust Speed (v₉) and hit the calculate button. Here is how the Propulsion Efficiency calculation can be explained with given input values -> 0.019742 = (2*(234/2.31))/(1+(234/2.31)^2).

FAQ

What is Propulsion Efficiency?

Propulsion Efficiency formula itself calculates the propulsive efficiency based on the ratio of the effective exhaust velocity to the velocity of the rocket relative to its exhaust, it quantifies how efficiently the propulsion system converts the energy of the propellant into forward thrust, providing valuable insights into the performance of the rocket propulsion system and is represented as η_prop = (2*(v₀/v₉))/(1+(v₀/v₉)^2) or Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2). Vehicle Speed typically refers to an extremely fast pace or velocity, often likened to the speed of a rocket & Exhaust Speed represents the velocity of the rocket relative to its exhaust.

How to calculate Propulsion Efficiency?

Propulsion Efficiency formula itself calculates the propulsive efficiency based on the ratio of the effective exhaust velocity to the velocity of the rocket relative to its exhaust, it quantifies how efficiently the propulsion system converts the energy of the propellant into forward thrust, providing valuable insights into the performance of the rocket propulsion system is calculated using Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2). To calculate Propulsion Efficiency, you need Vehicle Speed (v₀) & Exhaust Speed (v₉). With our tool, you need to enter the respective value for Vehicle Speed & Exhaust Speed 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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