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Supersonic Rayleigh Pitot Tube Formula (Mach Number) Calculator

Easily calculate and compute supersonic rayleigh pitot tube formula (mach number) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
2.83 Mach

True Mach Number (M₁)

True Mach Number (M₁)

2.83 Mach

True Freestream Mach M1

2.83

Measured Pressure Ratio Pt2 Over P1

10.78

Flow Regime

Supersonic flight (Detached normal shock ahead of pitot probe)

2.83 — Mach

Calculation Breakdown

  1. Applied FormulaSolves the supersonic Rayleigh Pitot tube relation to determine true Mach number from measured probe stagnation pressure behind the detached bow shock wave.\frac{P_{t2}}{P_1} = \left[ \frac{(\gamma+1)^2 M_1^2}{4\gamma M_1^2 - 2(\gamma-1)} \right]^{\frac{\gamma}{\gamma-1}} \left[ \frac{1-\gamma+2\gamma M_1^2}{\gamma+1} \right]

Rayleigh Pitot Mach Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.71.42.12.8True Mach Number (M₁)

What Is the Supersonic Rayleigh Pitot Tube Formula (Mach Number) Calculator?

This tool computes supersonic rayleigh pitot tube formula (mach number) calculator with high precision arithmetic.

How Does the Supersonic Rayleigh Pitot Tube Formula (Mach Number) Calculator Work?

Solves the supersonic Rayleigh Pitot tube relation to determine true Mach number from measured probe stagnation pressure behind the detached bow shock wave.

Supersonic Rayleigh Pitot Tube Formula (Mach Number) Calculator Formula & Variables

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

Pt2P1=[(γ+1)2M124γM12−2(γ−1)]γγ−1[1−γ+2γM12γ+1]\frac{P_{t2}}{P_1} = \left[ \frac{(\gamma+1)^2 M_1^2}{4\gamma M_1^2 - 2(\gamma-1)} \right]^{\frac{\gamma}{\gamma-1}} \left[ \frac{1-\gamma+2\gamma M_1^2}{\gamma+1} \right]

Solves the supersonic Rayleigh Pitot tube relation to determine true Mach number from measured probe stagnation pressure behind the detached bow shock wave.

How to Use the Supersonic Rayleigh Pitot Tube Formula (Mach Number) Calculator

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

Step-by-Step Example Calculation

Supersonic Rayleigh Pitot Tube Formula (Mach Number) Calculator Example

Input Values:

impactTotalPressureBehindShockPt2Bar:4.85
freestreamStaticPressureP1Bar:0.45
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Mach.

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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