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Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio Calculator

Compute static pressure jump, downstream Mach number, and total pressure loss across 1D normal shock waves.

Supersonic approach Mach number (> 1.0)

Ambient freestream static pressure

Calculated Result
246.6 kPa

Downstream Pressure (P2)

Static Pressure Ratio (P2/P1)

5.48

Downstream Mach (M2)

0.547

Calculation Breakdown

  1. Rankine-Hugoniot Normal ShockP2/P1 = 1 + [2γ/(γ+1)](M1² - 1) => 5.48

Pressure Ratio vs Mach

Interactive visualization based on your current inputs

Ratio
0.02.65.27.710Mach 1.5Mach 2.2Mach 3.0Mach NumberP2/P1 Ratio

What Is the Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio Calculator?

Compute static pressure jump, downstream Mach number, and total pressure loss across 1D normal shock waves.

The Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio Calculator is an analytical tool in the physics domain designed to evaluate Upstream Mach Number (M1), Upstream Static Pressure (P1) using verified mathematical equations. It provides reproducible, deterministic calculations for academic, professional, and practical applications.

How Does the Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio Calculator Work?

This calculator computes results by taking input values for Upstream Mach Number (M1), Upstream Static Pressure (P1) and applying the governing equation: Rankine-Hugoniot normal shock jump conditions.. Values are checked for dimensional consistency and processed through standard arithmetic routines.

Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio Calculator Formula & Variables

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

P2P1=1+2γγ+1(M12−1),M2=(γ−1)M12+22γM12−(γ−1)\frac{P_2}{P_1} = 1 + \frac{2 \gamma}{\gamma + 1} (M_1^2 - 1), \quad M_2 = \sqrt{\frac{(\gamma - 1)M_1^2 + 2}{2\gamma M_1^2 - (\gamma - 1)}}

Rankine-Hugoniot normal shock jump conditions.

How to Use the Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio Calculator

  1. Enter your value for Upstream Mach Number (M1) in M.
  2. Enter your value for Upstream Static Pressure (P1) in kPa.
  3. Verify your input parameters to ensure they match your design or problem specifications.
  4. Review the calculated results, intermediate mathematical steps, and graphical visualization below.

Step-by-Step Example Calculation

Pitot Tube Ingestion at Mach 2.5

Input Values:

upstreamMachM1:2.5
upstreamPressureP1Kpa:30.0
Worked Steps: Computed using the primary formula for Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio Calculator with the sample input parameters shown above.

Understanding Your Result

The calculated output gives the primary solution for Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio under the specified conditions. Use this value to compare against standard design tolerances, benchmarks, or reference ranges in physics.

Factors That Affect the Result

  • Input precision and measurement accuracy of Upstream Mach Number (M1), Upstream Static Pressure (P1).
  • Operating conditions, environmental parameters, and specific physics tolerances.
  • Boundary constraints and deviations from nominal theoretical model assumptions.

When Should You Use This Calculator?

  • When performing technical analysis or dimensioning related to Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio.
  • To cross-verify manual calculations or theoretical models in physics.
  • For preliminary estimates before conducting detailed field measurements or laboratory testing.

Assumptions & Limitations

  • Flow downstream of a normal shock is always subsonic (M2 < 1.0).

Frequently Asked Questions

Why does entropy increase across a shock?+
Viscous dissipation and intense thermal conduction inside the thin shock layer produce irreversible entropy gains.

Calculation Accuracy & Reference Note

This calculator implements verified mathematical formulas for Rankine-Hugoniot Supersonic Normal Shock Pressure Ratio Calculator. Always verify critical results against official domain standards and manufacturer documentation.

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