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Rocket de Laval Nozzle Area Expansion Ratio & Exit Velocity Calculator

Easily calculate and compute rocket de laval nozzle area expansion ratio & exit velocity calculator with accurate equations, live formulas, and expert guidance.

Stagnation combustion pressure.

Atmospheric backpressure at altitude.

Combustion flame temperature.

Mean molecular mass of exhaust gas.

Exhaust gas specific heat ratio (typically 1.20 - 1.25).

Calculated Result
2,801 m/s

Exhaust Velocity V_e

Exhaust Velocity V_e

2,801 m/s

Ideal Exhaust Velocity M Per Sec

2801

Optimum Area Ratio Ae At

10.7

Nozzle Exit Mach Number

3.42

Specific Impulse Vacuum Isp Sec

285.6

2,801 — m/s

Calculation Breakdown

  1. Applied FormulaApplies isentropic gas dynamics to calculate supersonic exhaust velocity, nozzle exit Mach number, area expansion ratio (Ae/At), and sea-level specific impulse (Isp) for rocket engines.V_e = \sqrt{\frac{2\gamma}{\gamma-1} R T_c [1 - (P_e/P_c)^{(\gamma-1)/\gamma}]}

Rocket de Laval Nozzle Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.07001.4k2.1k2.8kExhaust Velocity V_e

What Is the Rocket de Laval Nozzle Area Expansion Ratio & Exit Velocity Calculator?

This tool computes rocket de laval nozzle area expansion ratio & exit velocity calculator with high precision arithmetic.

How Does the Rocket de Laval Nozzle Area Expansion Ratio & Exit Velocity Calculator Work?

Applies isentropic gas dynamics to calculate supersonic exhaust velocity, nozzle exit Mach number, area expansion ratio (Ae/At), and sea-level specific impulse (Isp) for rocket engines.

Rocket de Laval Nozzle Area Expansion Ratio & Exit Velocity Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Ve=2γγ−1RTc[1−(Pe/Pc)(γ−1)/γ]V_e = \sqrt{\frac{2\gamma}{\gamma-1} R T_c [1 - (P_e/P_c)^{(\gamma-1)/\gamma}]}

Applies isentropic gas dynamics to calculate supersonic exhaust velocity, nozzle exit Mach number, area expansion ratio (Ae/At), and sea-level specific impulse (Isp) for rocket engines.

How to Use the Rocket de Laval Nozzle Area Expansion Ratio & Exit Velocity Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Rocket de Laval Nozzle Area Expansion Ratio & Exit Velocity Calculator Example

Input Values:

chamberPressurePcMpa:10.0
ambientPressurePaKpa:101.325
chamberTemperatureTcKelvin:3400.0
gasMolecularWeightGPerMol:22.5
specificHeatRatioGamma:1.22
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m/s.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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