Ratio of Stagnation and Static Pressure Calculator

✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%

✖The Stagnation to Static Pressure ratio depends upon the Mach number and ratio of specific heats.ⓘ Ratio of Stagnation and Static Pressure [P_r]

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Ratio of Stagnation and Static Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1))
P_r = (1+((γ-1)/2)*M^2)^(γ/(γ-1))
This formula uses 3 Variables

Variables Used

Stagnation to Static Pressure - The Stagnation to Static Pressure ratio depends upon the Mach number and ratio of specific heats.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.
Mach Number - Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Mach Number: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = (1+((γ-1)/2)*M^2)^(γ/(γ-1)) --> (1+((1.4-1)/2)*2^2)^(1.4/(1.4-1))

Evaluating ... ...

P_r = 7.82444906686726

STEP 3: Convert Result to Output's Unit

7.82444906686726 --> No Conversion Required

FINAL ANSWER

7.82444906686726 ≈ 7.824449 <-- Stagnation to Static Pressure

(Calculation completed in 00.005 seconds)

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Credits

Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< Governing Equations and Sound Wave Calculators

Speed of Sound

Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Mayer's Formula

LaTeX Go Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Ratio of Stagnation and Static Pressure Formula

LaTeX Go

Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1))
P_r = (1+((γ-1)/2)*M^2)^(γ/(γ-1))

What is stagnation pressure?

Stagnation pressure is the static pressure a gas retains when brought to rest isentropically from Mach number M.

How to Calculate Ratio of Stagnation and Static Pressure?

Ratio of Stagnation and Static Pressure calculator uses Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)) to calculate the Stagnation to Static Pressure, Ratio of Stagnation and Static Pressure equation, relates the ratio of stagnation pressure to static pressure to the Mach number of the flow and the specific heat ratio of the gas. It demonstrates how the pressure of a compressible flow changes due to the effects of compression or expansion associated with changes in flow velocity and Mach number. Stagnation to Static Pressure is denoted by P_r symbol.

How to calculate Ratio of Stagnation and Static Pressure using this online calculator? To use this online calculator for Ratio of Stagnation and Static Pressure, enter Specific Heat Ratio (γ) & Mach Number (M) and hit the calculate button. Here is how the Ratio of Stagnation and Static Pressure calculation can be explained with given input values -> 7.841368 = (1+((1.4-1)/2)*2^2)^(1.4/(1.4-1)).

FAQ

What is Ratio of Stagnation and Static Pressure?

Ratio of Stagnation and Static Pressure equation, relates the ratio of stagnation pressure to static pressure to the Mach number of the flow and the specific heat ratio of the gas. It demonstrates how the pressure of a compressible flow changes due to the effects of compression or expansion associated with changes in flow velocity and Mach number and is represented as P_r = (1+((γ-1)/2)*M^2)^(γ/(γ-1)) or Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)). The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow & Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Ratio of Stagnation and Static Pressure?

Ratio of Stagnation and Static Pressure equation, relates the ratio of stagnation pressure to static pressure to the Mach number of the flow and the specific heat ratio of the gas. It demonstrates how the pressure of a compressible flow changes due to the effects of compression or expansion associated with changes in flow velocity and Mach number is calculated using Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)). To calculate Ratio of Stagnation and Static Pressure, you need Specific Heat Ratio (γ) & Mach Number (M). With our tool, you need to enter the respective value for Specific Heat Ratio & Mach Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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