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## Credits

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has verified this Calculator and 200+ more calculators!

## 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))
Po/P = (1+(((γ-1)/2)*(M^2)))^(γ/(γ-1))
This formula uses 2 Variables
Variables Used
Specific Heat Ratio- The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume
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: 1.6 --> No Conversion Required
Mach Number: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Po/P = (1+(((γ-1)/2)*(M^2)))^(γ/(γ-1)) --> (1+(((1.6-1)/2)*(1^2)))^(1.6/(1.6-1))
Evaluating ... ...
Po/P = 2.01302393858197
STEP 3: Convert Result to Output's Unit
2.01302393858197 --> No Conversion Required
2.01302393858197 <-- Stagnation to Static Pressure
(Calculation completed in 00.016 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Exact Density Ratio
density_ratio = ((Specific Heat Ratio+1)*((Mach Number*(sin(Wave angle)))^2))/((Specific Heat Ratio-1)*((Mach Number*(sin(Wave angle)))^2)+2) Go
Exact pressure ratio
pressure_ratio = 1+(2*Specific Heat Ratio/(Specific Heat Ratio+1))*(((Mach Number*sin(Wave angle))^2)-1) Go
Pressure ratio when Mach becomes infinite
pressure_ratio = (2*Specific Heat Ratio/(Specific Heat Ratio+1))*((Mach Number*sin(Wave angle))^2) Go
Mach number
mach_no = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temp.)) Go
Ratio of Stagnation and Static Density
stagnation_to_static_density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1)) Go
Deflection angle
deflection_angle = (2/(Specific Heat Ratio-1))*((1/Mach Number ahead of shock)-(1/Mach Number behind shock)) Go
Relation between Characteristic Mach number and Mach number
characteristic_mach_number = ((Specific heat ratio+1)/((Specific heat ratio-1)+(2/(Mach Number^2))))^0.5 Go
Speed of Sound
speed_sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas) Go
Ratio of Stagnation and Static Temperature
stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) Go
Density ratio when Mach become infinite
density_ratio = (Specific Heat Ratio+1)/(Specific Heat Ratio-1) Go
Mach Angle
mach_angle = asin(1/Mach Number) Go

### 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))
Po/P = (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 and is denoted by Po/P 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) and 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 -> 2.013024 = (1+(((1.6-1)/2)*(1^2)))^(1.6/(1.6-1)).

### 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 Po/P = (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 of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume and 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) and Mach Number (M). With our tool, you need to enter the respective value for Specific Heat Ratio and 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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