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Rocket Exit Pressure Calculator

Rocket Exit Pressure Formula:

\[ P_{exit} = P_c \times \left(1 + \frac{\gamma - 1}{2} \times M^2\right)^{-\frac{\gamma}{\gamma - 1}} \]

Pa

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1. What is Rocket Exit Pressure?

Rocket exit pressure is the pressure of the exhaust gases as they leave the rocket nozzle. This parameter is crucial for determining the thrust performance and efficiency of rocket propulsion systems.

2. How Does the Calculator Work?

The calculator uses the rocket exit pressure equation:

\[ P_{exit} = P_c \times \left(1 + \frac{\gamma - 1}{2} \times M^2\right)^{-\frac{\gamma}{\gamma - 1}} \]

Where:

Explanation: This equation calculates the pressure at the nozzle exit based on the chamber pressure, specific heat ratio of the propellant, and the Mach number at the nozzle exit.

3. Importance of Exit Pressure Calculation

Details: Accurate exit pressure calculation is essential for optimizing rocket nozzle design, ensuring proper expansion of exhaust gases, and maximizing thrust efficiency in rocket propulsion systems.

4. Using the Calculator

Tips: Enter chamber pressure in Pascals, specific heat ratio (must be greater than 1), and Mach number (must be non-negative). All values must be valid numerical inputs.

5. Frequently Asked Questions (FAQ)

Q1: Why is exit pressure important in rocket design?
A: Exit pressure determines whether the nozzle is under-expanded, perfectly expanded, or over-expanded, which affects thrust efficiency and performance.

Q2: What is the ideal exit pressure condition?
A: For maximum efficiency, the exit pressure should equal the ambient pressure (perfect expansion condition).

Q3: How does specific heat ratio affect exit pressure?
A: Higher specific heat ratios result in different pressure ratios and expansion characteristics in the nozzle.

Q4: What are typical values for chamber pressure?
A: Chamber pressures vary widely depending on the rocket design, ranging from 1-20 MPa for different propulsion systems.

Q5: Can this calculator be used for different propellants?
A: Yes, by adjusting the specific heat ratio value according to the propellant properties being used.

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