Ratio of stagnation and static pressure Calculator

Search
Home	Physics ↺
Physics	Gas Dynamics ↺
Gas Dynamics	Basic Compressible Flow ↺

✖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 [PoP_ratio]

⎘ Copy

👎

Formula

✖

Ratio of stagnation and static pressure

Formula

`"PoP"_{"ratio"} = (1+((("γ"-1)/2)*("M"^2)))^("γ"/("γ"-1))`

Example

`"9762.854"=(1+((("1.4"-1)/2)*(("8")^2)))^("1.4"/("1.4"-1))`

Calculator

LaTeX

Reset

👍

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))
PoP_ratio = (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

PoP_ratio = (1+(((γ-1)/2)*(M^2)))^(γ/(γ-1)) --> (1+(((1.4-1)/2)*(8^2)))^(1.4/(1.4-1))

Evaluating ... ...

PoP_ratio = 9762.85417453007

STEP 3: Convert Result to Output's Unit

9762.85417453007 --> No Conversion Required

FINAL ANSWER

9762.85417453007 <-- Stagnation to Static Pressure

(Calculation completed in 00.000 seconds)

You are here -

Home » Physics » Gas Dynamics » Basic Compressible Flow » Ratio of stagnation and static pressure

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!

< 6 Basic Compressible Flow Calculators

Critical Pressure

Go 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

Go 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

Go Stagnation to Static Density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1))

Critical Density

Go Critical density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1))

Ratio of Stagnation and Static Temperature

Go Stagnation to Static Temperature = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))

Critical Temperature

Go Critical Temperature = (2/(Specific Heat Ratio+1))*(Stagnation Temperature)

< 6 Inviscid Compressible Flow Calculators

Critical Pressure

Go 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

Go 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

Go Stagnation to Static Density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1))

Critical Density

Go Critical density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1))

Ratio of Stagnation and Static Temperature

Go Stagnation to Static Temperature = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))

Critical Temperature

Go 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))
PoP_ratio = (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 PoP_ratio 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 PoP_ratio = (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.

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!