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Propulsion Efficiency Formula

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Propulsion Efficiency is defined as the ratio of propulsive power to work done on the fluid. Check FAQs

η prop = \frac{2 \cdot (\frac{v 0}{v 9})}{1 + {(\frac{v 0}{v 9})}^{2}}

η_prop - Propulsion Efficiency?v₀ - Vehicle Speed?v₉ - Exhaust Speed?

Propulsion Efficiency Example

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Here is how the Propulsion Efficiency equation looks like with Values.

Here is how the Propulsion Efficiency equation looks like with Units.

Here is how the Propulsion Efficiency equation looks like.

0.0197 = \frac{2 \cdot (\frac{234}{2.31})}{1 + {(\frac{234}{2.31})}^{2}}

0.0197 = \frac{2 \cdot (\frac{234m/s}{2.31m/s})}{1 + {(\frac{234m/s}{2.31m/s})}^{2}}

0.0197 = \frac{2 \cdot (\frac{234}{2.31})}{1 + {(\frac{234}{2.31})}^{2}}

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Propulsion Efficiency Solution

Follow our step by step solution on how to calculate Propulsion Efficiency?

FIRST Step Consider the formula

η prop = \frac{2 \cdot (\frac{v 0}{v 9})}{1 + {(\frac{v 0}{v 9})}^{2}}

Next Step Substitute values of Variables

∴

η prop = \frac{2 \cdot (\frac{234m/s}{2.31m/s})}{1 + {(\frac{234m/s}{2.31m/s})}^{2}}

Next Step Prepare to Evaluate

∴

η prop = \frac{2 \cdot (\frac{234}{2.31})}{1 + {(\frac{234}{2.31})}^{2}}

Next Step Evaluate

∴

η prop = 0.0197416658721736

LAST Step Rounding Answer

∴

η prop = 0.0197

Propulsion Efficiency Formula Elements

Variables

Propulsion Efficiency

Propulsion Efficiency is defined as the ratio of propulsive power to work done on the fluid.

Symbol: η_prop

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Propulsion Efficiency

Vehicle Speed

Vehicle Speed typically refers to an extremely fast pace or velocity, often likened to the speed of a rocket.

Symbol: v₀

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Vehicle Speed

Exhaust Speed

Exhaust Speed represents the velocity of the rocket relative to its exhaust.

Symbol: v₉

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Exhaust Speed

Other formulas in Nozzles category

Go Specific Volume at Throat

V t = V 1 \cdot {(\frac{γ + 1}{2})}^{\frac{1}{γ - 1}}

Go Specific Temperature at Throat

T t = \frac{2 \cdot T 1}{γ + 1}

Go Characteristics Velocity

C ✸ = \sqrt{(\frac{[R] \cdot T 1}{γ}) \cdot {(\frac{γ + 1}{2})}^{\frac{γ + 1}{γ - 1}}}

Go Nozzle Thrust Coefficient

C F = \frac{F}{A t \cdot P 1}

How to Evaluate Propulsion Efficiency?

Propulsion Efficiency evaluator uses Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2) to evaluate 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 evaluate Propulsion Efficiency using this online evaluator? To use this online evaluator for Propulsion Efficiency, enter Vehicle Speed (v₀) & Exhaust Speed (v₉) and hit the calculate button.

FAQs on Propulsion Efficiency

What is the formula to find Propulsion Efficiency?

The formula of Propulsion Efficiency is expressed as Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2). Here is an example- 0.019742 = (2*(234/2.31))/(1+(234/2.31)^2).

How to calculate Propulsion Efficiency?

With Vehicle Speed (v₀) & Exhaust Speed (v₉) we can find Propulsion Efficiency using the formula - Propulsion Efficiency = (2*(Vehicle Speed/Exhaust Speed))/(1+(Vehicle Speed/Exhaust Speed)^2).

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