Stagnation Density given Compressible Fluid Flow Calculator

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Compressible Flow Parameters

Multiphase Compressible Flow

✖Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.ⓘ Density of Air Medium [ρ_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 Density in Compressible Flow is defined as the density of the fluid at a stagnation point in the compressible fluid flow.ⓘ Stagnation Density given Compressible Fluid Flow [ρ_s]

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Formula

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Stagnation Density given Compressible Fluid Flow

Formula

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

Example

`"2.5218kg/m³"="1.29kg/m³"*(1+("1.4"-1)/2*("1.24")^2)^(1/("1.4"-1))`

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Stagnation Density given Compressible Fluid Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
ρ_s = ρ_a*(1+(y-1)/2*M^2)^(1/(y-1))
This formula uses 4 Variables

Variables Used

Stagnation Density in Compressible Flow - (Measured in Kilogram per Cubic Meter) - Stagnation Density in Compressible Flow is defined as the density of the fluid at a stagnation point in the compressible fluid flow.
Density of Air Medium - (Measured in Kilogram per Cubic Meter) - Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.
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

Density of Air Medium: 1.29 Kilogram per Cubic Meter --> 1.29 Kilogram per Cubic Meter No Conversion Required
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

ρ_s = ρ_a*(1+(y-1)/2*M^2)^(1/(y-1)) --> 1.29*(1+(1.4-1)/2*1.24^2)^(1/(1.4-1))

Evaluating ... ...

ρ_s = 2.52179954389281

STEP 3: Convert Result to Output's Unit

2.52179954389281 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

2.52179954389281 ≈ 2.5218 Kilogram per Cubic Meter <-- Stagnation Density in Compressible Flow

(Calculation completed in 00.004 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 Density given Compressible Fluid Flow Formula

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))
ρ_s = ρ_a*(1+(y-1)/2*M^2)^(1/(y-1))

What is the stagnation properties of fluid?

When a fluid flows past an immersed body if the resultant velocity of the fluid at a point on the body becomes zero, the values of pressure, temperature, and density at that point will be termed as stagnation properties.

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 Density given Compressible Fluid Flow?

Stagnation Density given Compressible Fluid Flow calculator uses 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)) to calculate the Stagnation Density in Compressible Flow, The Stagnation density given compressible fluid flow formula is known while considering the specific heat ratio, density of the liquid at the point one, and the local Mach number. Stagnation Density in Compressible Flow is denoted by ρ_s symbol.

How to calculate Stagnation Density given Compressible Fluid Flow using this online calculator? To use this online calculator for Stagnation Density given Compressible Fluid Flow, enter Density of Air Medium (ρ_a), Specific Heat Ratio (y) & Mach Number for Compressible Flow (M) and hit the calculate button. Here is how the Stagnation Density given Compressible Fluid Flow calculation can be explained with given input values -> 2.5218 = 1.29*(1+(1.4-1)/2*1.24^2)^(1/(1.4-1)).

FAQ

What is Stagnation Density given Compressible Fluid Flow?

The Stagnation density given compressible fluid flow formula is known while considering the specific heat ratio, density of the liquid at the point one, and the local Mach number and is represented as ρ_s = ρ_a*(1+(y-1)/2*M^2)^(1/(y-1)) or 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)). Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume, 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 Density given Compressible Fluid Flow?

The Stagnation density given compressible fluid flow formula is known while considering the specific heat ratio, density of the liquid at the point one, and the local Mach number is calculated using 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)). To calculate Stagnation Density given Compressible Fluid Flow, you need Density of Air Medium (ρ_a), Specific Heat Ratio (y) & Mach Number for Compressible Flow (M). With our tool, you need to enter the respective value for Density of Air Medium, 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 Density in Compressible Flow?

In this formula, Stagnation Density in Compressible Flow uses Density of Air Medium, 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 Density in Compressible Flow = Stagnation Pressure in Compressible Flow/(Gas Constant in Compressible Flow*Stagnation Temperature in Compressible Flow)

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