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Stagnation Pressure for Compressible Fluid Flow Formula

GoStagnation Pressure considering other Stagnation Properties of Fluid Formula

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

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

p_s - Stagnation Pressure in Compressible Flow?P_a - Pressure of Still Air?y - Specific Heat Ratio?M - Mach Number For Compressible Flow?

Stagnation Pressure for Compressible Fluid Flow Example

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Here is how the Stagnation Pressure for Compressible Fluid Flow equation looks like with Values.

Here is how the Stagnation Pressure for Compressible Fluid Flow equation looks like with Units.

Here is how the Stagnation Pressure for Compressible Fluid Flow equation looks like.

227370.4083 = 88953.85 \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1.4}{1.4 - 1}}

227370.4083N/m² = 88953.85N/m² \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1.4}{1.4 - 1}}

227370.4083 = 88953.85 \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1.4}{1.4 - 1}}

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Stagnation Pressure for Compressible Fluid Flow Solution

Follow our step by step solution on how to calculate Stagnation Pressure for Compressible Fluid Flow?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p s = 88953.85N/m² \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1.4}{1.4 - 1}}

Next Step Convert Units

∴

p s = 88953.85Pa \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1.4}{1.4 - 1}}

Next Step Prepare to Evaluate

∴

p s = 88953.85 \cdot {(1 + \frac{1.4 - 1}{2} \cdot {1.24}^{2})}^{\frac{1.4}{1.4 - 1}}

Next Step Evaluate

∴

p s = 227370.408277527Pa

Next Step Convert to Output's Unit

∴

p s = 227370.408277527N/m²

LAST Step Rounding Answer

∴

p s = 227370.4083N/m²

Stagnation Pressure for Compressible Fluid Flow Formula Elements

Variables

Stagnation Pressure in Compressible Flow

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

Symbol: p_s

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Stagnation Pressure in Compressible Flow

Pressure of Still Air

Pressure of Still Air is the pressure of the nonflowing air with zero velocity.

Symbol: P_a

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Pressure of Still Air

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 Pressure in Compressible Flow

Go Stagnation Pressure considering other Stagnation Properties of Fluid

p s = T s \cdot R \cdot ρ s

Other formulas in Stagnation Properties category

Go Stagnation Density given Compressible Fluid Flow

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

Go Stagnation Density considering other Stagnation Properties of Fluid

ρ s = \frac{p s}{R \cdot T s}

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 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 Pressure for Compressible Fluid Flow?

Stagnation Pressure for Compressible Fluid Flow evaluator 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 evaluate the Stagnation Pressure in Compressible Flow, Stagnation Pressure for Compressible Fluid Flow refers to the total pressure of the fluid when it comes to a stop under stagnation conditions. This parameter is critical in aerodynamics, gas dynamics, and fluid mechanics for understanding the total energy state of the fluid at points like intake or exit of a nozzle or turbine. It's influenced by factors such as stagnation density, temperature, and velocity, playing a key role in designing efficient propulsion systems and predicting flow characteristics in aerospace and engineering applications. Stagnation Pressure in Compressible Flow is denoted by p_s symbol.

How to evaluate Stagnation Pressure for Compressible Fluid Flow using this online evaluator? To use this online evaluator 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.

FAQs on Stagnation Pressure for Compressible Fluid Flow

What is the formula to find Stagnation Pressure for Compressible Fluid Flow?

The formula of Stagnation Pressure for Compressible Fluid Flow is expressed as 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)). Here is an example- 122000 = 88953.85*(1+(1.4-1)/2*1.24^2)^(1.4/(1.4-1)).

How to calculate Stagnation Pressure for Compressible Fluid Flow?

With Pressure of Still Air (P_a), Specific Heat Ratio (y) & Mach Number For Compressible Flow (M) we can find Stagnation Pressure for Compressible Fluid Flow using the formula - 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)).

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

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

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

Can the Stagnation Pressure for Compressible Fluid Flow be negative?

No, the Stagnation Pressure for Compressible Fluid Flow, measured in Pressure cannot be negative.

Which unit is used to measure Stagnation Pressure for Compressible Fluid Flow?

Stagnation Pressure for Compressible Fluid Flow is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Stagnation Pressure for Compressible Fluid Flow can be measured.

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Stagnation Pressure for Compressible Fluid Flow Formula

​GoStagnation Pressure considering other Stagnation Properties of Fluid Formula

Stagnation Pressure for Compressible Fluid Flow Example

Stagnation Pressure for Compressible Fluid Flow Solution

Stagnation Pressure for Compressible Fluid Flow Formula Elements

Other Formulas to find Stagnation Pressure in Compressible Flow

Other formulas in Stagnation Properties category

How to Evaluate Stagnation Pressure for Compressible Fluid Flow?

FAQs on Stagnation Pressure for Compressible Fluid Flow

Variable Name

GoStagnation Pressure considering other Stagnation Properties of Fluid Formula