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Velocity After Expansion Given Ideal Thrust Calculator

Formula Used:

\[ V_e = \frac{T_{ideal}}{m_a} + V \]

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m/s

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1. What is Exit Velocity?

Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a engine. It is a critical parameter in propulsion systems that determines the efficiency and performance of jet engines and rockets.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_e = \frac{T_{ideal}}{m_a} + V \]

Where:

Explanation: This formula calculates the exit velocity of gases from a propulsion system by combining the thrust contribution per unit mass flow with the aircraft's flight speed.

3. Importance of Exit Velocity Calculation

Details: Accurate exit velocity calculation is crucial for optimizing propulsion system performance, determining engine efficiency, and designing nozzles for maximum thrust generation in aerospace applications.

4. Using the Calculator

Tips: Enter ideal thrust in Newtons, mass flow rate in kg/s, and flight speed in m/s. All values must be valid positive numbers (mass flow rate and thrust > 0, flight speed ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is ideal thrust?
A: Ideal thrust is the thrust produced by an engine when nozzle exit pressure is same as ambient pressure or when the nozzle is perfectly expanded.

Q2: Why is mass flow rate important in this calculation?
A: Mass flow rate represents the amount of propellant mass passing through the engine per unit time, which directly affects the momentum change and thus the exit velocity.

Q3: How does flight speed affect exit velocity?
A: Flight speed adds to the effective exit velocity since the propulsion system is moving through the air, affecting the relative velocity of exhaust gases.

Q4: What are typical exit velocity values for jet engines?
A: Typical exit velocities range from 400-800 m/s for turbojet engines and can exceed 2000 m/s for rocket engines, depending on the specific design and propellants used.

Q5: Are there limitations to this equation?
A: This simplified formula assumes ideal conditions and may not account for factors like pressure differences, friction losses, or real gas effects in complex propulsion systems.

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