## 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))
PoPratio = (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: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PoPratio = (1+(((γ-1)/2)*(M^2)))^(γ/(γ-1)) --> (1+(((1.4-1)/2)*(8^2)))^(1.4/(1.4-1))
Evaluating ... ...
PoPratio = 9762.85417453007
STEP 3: Convert Result to Output's Unit
9762.85417453007 --> No Conversion Required
9762.85417453007 <-- Stagnation to Static Pressure
(Calculation completed in 00.000 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
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## < 6 Basic Compressible Flow Calculators

Critical Pressure
Critical Pressure = ((2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)))*(Stagnation Pressure at point in fluid flow)
Ratio of stagnation and static pressure
Stagnation to Static Pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1))
Ratio of Stagnation and Static Density
Stagnation to Static Density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1))
Critical Density
Critical density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1))
Ratio of Stagnation and Static Temperature
Stagnation to Static Temperature = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))
Critical Temperature
Critical Temperature = (2/(Specific Heat Ratio+1))*(Stagnation Temperature)

## < 6 Inviscid Compressible Flow Calculators

Critical Pressure
Critical Pressure = ((2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)))*(Stagnation Pressure at point in fluid flow)
Ratio of stagnation and static pressure
Stagnation to Static Pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1))
Ratio of Stagnation and Static Density
Stagnation to Static Density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1))
Critical Density
Critical density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1))
Ratio of Stagnation and Static Temperature
Stagnation to Static Temperature = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))
Critical Temperature
Critical Temperature = (2/(Specific Heat Ratio+1))*(Stagnation Temperature)

## Ratio of stagnation and static pressure Formula

Stagnation to Static Pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1))
PoPratio = (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, The Ratio of stagnation and static pressure is dependent upon the Mach number and ratio of specific heats. Stagnation to Static Pressure is denoted by PoPratio 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 -> 9762.854 = (1+(((1.4-1)/2)*(8^2)))^(1.4/(1.4-1)).

### FAQ

What is Ratio of stagnation and static pressure?
The Ratio of stagnation and static pressure is dependent upon the Mach number and ratio of specific heats and is represented as PoPratio = (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?
The Ratio of stagnation and static pressure is dependent upon the Mach number and ratio of specific heats 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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