Stagnation Pressure for Compressible Fluid Flow Calculator

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Stagnation Properties

Compressible Flow Parameters

Multiphase Compressible Flow

✖Pressure of Still Air is the pressure of the nonflowing air with zero velocity.ⓘ Pressure of Still Air [P_a]			+10% -10%
✖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 [y]			+10% -10%
✖Mach Number for Compressible Flow is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number for Compressible Flow [M]			+10% -10%

✖Stagnation Pressure in Compressible Flow is defined as the pressure of the fluid at a stagnation point in the compressible fluid flow.ⓘ Stagnation Pressure for Compressible Fluid Flow [p_s]

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Formula

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Stagnation Pressure for Compressible Fluid Flow

Formula

`"p"_{"s"} = "P"_{"a"}*(1+("y"-1)/2*"M"^2)^("y"/("y"-1))`

Example

`"122179.1N/m²"="4.78E4N/m²"*(1+("1.4"-1)/2*("1.24")^2)^("1.4"/("1.4"-1))`

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Stagnation Pressure for Compressible Fluid Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Pressure in Compressible Flow = Pressure of Still Air*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(Specific Heat Ratio/(Specific Heat Ratio-1))
p_s = P_a*(1+(y-1)/2*M^2)^(y/(y-1))
This formula uses 4 Variables

Variables Used

Stagnation Pressure in Compressible Flow - (Measured in Pascal) - Stagnation Pressure in Compressible Flow is defined as the pressure of the fluid at a stagnation point in the compressible fluid flow.
Pressure of Still Air - (Measured in Pascal) - Pressure of Still Air is the pressure of the nonflowing air with zero velocity.
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 for Compressible Flow - Mach Number for Compressible Flow is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Pressure of Still Air: 47800 Newton per Square Meter --> 47800 Pascal (Check conversion here)
Specific Heat Ratio: 1.4 --> No Conversion Required
Mach Number for Compressible Flow: 1.24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_s = P_a*(1+(y-1)/2*M^2)^(y/(y-1)) --> 47800*(1+(1.4-1)/2*1.24^2)^(1.4/(1.4-1))

Evaluating ... ...

p_s = 122179.147003371

STEP 3: Convert Result to Output's Unit

122179.147003371 Pascal -->122179.147003371 Newton per Square Meter (Check conversion here)

FINAL ANSWER

122179.147003371 ≈ 122179.1 Newton per Square Meter <-- Stagnation Pressure in Compressible Flow

(Calculation completed in 00.020 seconds)

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< 8 Stagnation Properties Calculators

Stagnation Pressure for Compressible Fluid Flow

Go Stagnation Pressure in Compressible Flow = Pressure of Still Air*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(Specific Heat Ratio/(Specific Heat Ratio-1))

Density of Fluid for Stagnation considering Compressible Fluid Flow

Go Density of Air Medium = Stagnation Density in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(1/(Specific Heat Ratio-1))

Stagnation Density given Compressible Fluid Flow

Go Stagnation Density in Compressible Flow = Density of Air Medium*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(1/(Specific Heat Ratio-1))

Stagnation Temperature considering other Stagnation Properties of Fluid

Go Stagnation Temperature in Compressible Flow = Stagnation Pressure in Compressible Flow/(Gas Constant in Compressible Flow*Stagnation Density in Compressible Flow)

Stagnation Density considering other Stagnation Properties of Fluid

Go Stagnation Density in Compressible Flow = Stagnation Pressure in Compressible Flow/(Gas Constant in Compressible Flow*Stagnation Temperature in Compressible Flow)

Stagnation Pressure considering other Stagnation Properties of Fluid

Go Stagnation Pressure in Compressible Flow = Stagnation Temperature in Compressible Flow*Gas Constant in Compressible Flow*Stagnation Density in Compressible Flow

Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow

Go Temperature of Still Air = Stagnation Temperature in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)

Stagnation Temperature considering Compressible Fluid Flow

Go Stagnation Temperature in Compressible Flow = Temperature of Still Air*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)

Stagnation Pressure for Compressible Fluid Flow Formula

What is a stagnation pressure?

In fluid dynamics, stagnation pressure is the static pressure at a stagnation point in a fluid flow. At a stagnation point, the fluid velocity is zero. In an incompressible flow, stagnation pressure is equal to the sum of the free-stream static pressure and the free-stream dynamic pressure.

What is the significance of Mach number in compressible fluid flow?

The Mach Number is a dimensionless value useful for analyzing fluid flow dynamics problems where compressibility is a significant factor. The bulk modulus elasticity has the dimension pressure and is commonly used to characterize fluid compressibility. The square of the Mach number is the Cauchy Number.

How to Calculate Stagnation Pressure for Compressible Fluid Flow?

Stagnation Pressure for Compressible Fluid Flow calculator uses Stagnation Pressure in Compressible Flow = Pressure of Still Air*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)) to calculate the Stagnation Pressure in Compressible Flow, The Stagnation pressure for compressible fluid flow formula is known while considering the specific heat ratio, pressure at the inlet of the tank or any vessel, and the local Mach number. Stagnation Pressure in Compressible Flow is denoted by p_s symbol.

How to calculate Stagnation Pressure for Compressible Fluid Flow using this online calculator? To use this online calculator for Stagnation Pressure for Compressible Fluid Flow, enter Pressure of Still Air (P_a), Specific Heat Ratio (y) & Mach Number for Compressible Flow (M) and hit the calculate button. Here is how the Stagnation Pressure for Compressible Fluid Flow calculation can be explained with given input values -> 122179.1 = 47800*(1+(1.4-1)/2*1.24^2)^(1.4/(1.4-1)).

FAQ

What is Stagnation Pressure for Compressible Fluid Flow?

The Stagnation pressure for compressible fluid flow formula is known while considering the specific heat ratio, pressure at the inlet of the tank or any vessel, and the local Mach number and is represented as p_s = P_a*(1+(y-1)/2*M^2)^(y/(y-1)) or Stagnation Pressure in Compressible Flow = Pressure of Still Air*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)). Pressure of Still Air is the pressure of the nonflowing air with zero velocity, 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 for Compressible Flow is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Stagnation Pressure for Compressible Fluid Flow?

The Stagnation pressure for compressible fluid flow formula is known while considering the specific heat ratio, pressure at the inlet of the tank or any vessel, and the local Mach number is calculated using Stagnation Pressure in Compressible Flow = Pressure of Still Air*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)). To calculate Stagnation Pressure for Compressible Fluid Flow, you need Pressure of Still Air (P_a), Specific Heat Ratio (y) & Mach Number for Compressible Flow (M). With our tool, you need to enter the respective value for Pressure of Still Air, Specific Heat Ratio & Mach Number for Compressible Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stagnation Pressure in Compressible Flow?

In this formula, Stagnation Pressure in Compressible Flow uses Pressure of Still Air, Specific Heat Ratio & Mach Number for Compressible Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stagnation Pressure in Compressible Flow = Stagnation Temperature in Compressible Flow*Gas Constant in Compressible Flow*Stagnation Density in Compressible Flow

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