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Stagnation Density given Compressible Fluid Flow Formula

GoStagnation Density considering other Stagnation Properties of Fluid Formula

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Stagnation Density in Compressible Flow is defined as the density of the fluid at a stagnation point in the compressible fluid flow. Check FAQs

ρ s = ρ a \cdot {(1 + \frac{y - 1}{2} \cdot M^{2})}^{\frac{1}{y - 1}}

ρ_s - Stagnation Density in Compressible Flow?ρ_a - Density of Air Medium?y - Specific Heat Ratio?M - Mach Number For Compressible Flow?

Stagnation Density given Compressible Fluid Flow Example

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Here is how the Stagnation Density given Compressible Fluid Flow equation looks like with Values.

Here is how the Stagnation Density given Compressible Fluid Flow equation looks like with Units.

Here is how the Stagnation Density given Compressible Fluid Flow equation looks like.

2.5218 = 1.29 \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1}{1.4 - 1}}

2.5218kg/m³ = 1.29kg/m³ \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1}{1.4 - 1}}

2.5218 = 1.29 \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1}{1.4 - 1}}

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Stagnation Density given Compressible Fluid Flow Solution

Follow our step by step solution on how to calculate Stagnation Density given Compressible Fluid Flow?

FIRST Step Consider the formula

ρ s = ρ a \cdot {(1 + \frac{y - 1}{2} \cdot M^{2})}^{\frac{1}{y - 1}}

Next Step Substitute values of Variables

∴

ρ s = 1.29kg/m³ \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1}{1.4 - 1}}

Next Step Prepare to Evaluate

∴

ρ s = 1.29 \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1}{1.4 - 1}}

Next Step Evaluate

∴

ρ s = 2.52179954389281kg/m³

LAST Step Rounding Answer

∴

ρ s = 2.5218kg/m³

Stagnation Density given Compressible Fluid Flow Formula Elements

Variables

Stagnation Density in Compressible Flow

Stagnation Density in Compressible Flow is defined as the density of the fluid at a stagnation point in the compressible fluid flow.

Symbol: ρ_s

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Stagnation Density in Compressible Flow

Density of Air Medium

Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.

Symbol: ρ_a

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Air Medium

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.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Heat Ratio

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.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number For Compressible Flow

Other Formulas to find Stagnation Density in Compressible Flow

Go Stagnation Density considering other Stagnation Properties of Fluid

ρ s = \frac{p s}{R \cdot T s}

Other formulas in Stagnation Properties category

Go Density of Fluid for Stagnation considering Compressible Fluid Flow

ρ a = \frac{ρ s}{{(1 + \frac{y - 1}{2} \cdot M^{2})}^{\frac{1}{y - 1}}}

Go Stagnation Pressure for Compressible Fluid Flow

p s = P a \cdot {(1 + \frac{y - 1}{2} \cdot M^{2})}^{\frac{y}{y - 1}}

Go Stagnation Pressure considering other Stagnation Properties of Fluid

p s = T s \cdot R \cdot ρ s

Go Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow

T 1 = \frac{T s}{1 + \frac{y - 1}{2} \cdot M^{2}}

How to Evaluate Stagnation Density given Compressible Fluid Flow?

Stagnation Density given Compressible Fluid Flow evaluator 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 evaluate the Stagnation Density in Compressible Flow, Stagnation Density given Compressible Fluid Flow refers to the density of the fluid at a point where its velocity reduces to zero under stagnation conditions. This parameter is crucial in aerodynamics, combustion processes, and fluid mechanics for understanding the state of the fluid at points of interest, such as inlets and outlets of nozzles or turbines, and is influenced by stagnation pressure, temperature, and the specific properties of the fluid. Stagnation Density in Compressible Flow is denoted by ρ_s symbol.

How to evaluate Stagnation Density given Compressible Fluid Flow using this online evaluator? To use this online evaluator 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.

FAQs on Stagnation Density given Compressible Fluid Flow

What is the formula to find Stagnation Density given Compressible Fluid Flow?

The formula of Stagnation Density given Compressible Fluid Flow is expressed as 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)). Here is an example- 2.5218 = 1.29*(1+(1.4-1)/2*1.24^2)^(1/(1.4-1)).

How to calculate Stagnation Density given Compressible Fluid Flow?

With Density of Air Medium (ρ_a), Specific Heat Ratio (y) & Mach Number For Compressible Flow (M) we can find Stagnation Density given Compressible Fluid Flow using the 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)).

What are the other ways to Calculate Stagnation Density in Compressible Flow?

Here are the different ways to Calculate Stagnation Density in Compressible Flow-

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

Can the Stagnation Density given Compressible Fluid Flow be negative?

No, the Stagnation Density given Compressible Fluid Flow, measured in Density cannot be negative.

Which unit is used to measure Stagnation Density given Compressible Fluid Flow?

Stagnation Density given Compressible Fluid Flow is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Stagnation Density given Compressible Fluid Flow can be measured.

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Stagnation Density given Compressible Fluid Flow Formula

​GoStagnation Density considering other Stagnation Properties of Fluid Formula

Stagnation Density given Compressible Fluid Flow Example

Stagnation Density given Compressible Fluid Flow Solution

Stagnation Density given Compressible Fluid Flow Formula Elements

Other Formulas to find Stagnation Density in Compressible Flow

Other formulas in Stagnation Properties category

How to Evaluate Stagnation Density given Compressible Fluid Flow?

FAQs on Stagnation Density given Compressible Fluid Flow

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GoStagnation Density considering other Stagnation Properties of Fluid Formula