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Ratio of Stagnation and Static Pressure Formula

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The Stagnation to Static Pressure ratio depends upon the Mach number and ratio of specific heats. Check FAQs

P r = {(1 + (\frac{γ - 1}{2}) \cdot M^{2})}^{\frac{γ}{γ - 1}}

P_r - Stagnation to Static Pressure?γ - Specific Heat Ratio?M - Mach Number?

Ratio of Stagnation and Static Pressure Example

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Here is how the Ratio of Stagnation and Static Pressure equation looks like with Values.

Here is how the Ratio of Stagnation and Static Pressure equation looks like with Units.

Here is how the Ratio of Stagnation and Static Pressure equation looks like.

7.8244 = {(1 + (\frac{1.4 - 1}{2}) \cdot 2^{2})}^{\frac{1.4}{1.4 - 1}}

7.8244 = {(1 + (\frac{1.4 - 1}{2}) \cdot 2^{2})}^{\frac{1.4}{1.4 - 1}}

7.8244 = {(1 + (\frac{1.4 - 1}{2}) \cdot 2^{2})}^{\frac{1.4}{1.4 - 1}}

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Ratio of Stagnation and Static Pressure Solution

Follow our step by step solution on how to calculate Ratio of Stagnation and Static Pressure?

FIRST Step Consider the formula

P r = {(1 + (\frac{γ - 1}{2}) \cdot M^{2})}^{\frac{γ}{γ - 1}}

Next Step Substitute values of Variables

∴

P r = {(1 + (\frac{1.4 - 1}{2}) \cdot 2^{2})}^{\frac{1.4}{1.4 - 1}}

Next Step Prepare to Evaluate

∴

P r = {(1 + (\frac{1.4 - 1}{2}) \cdot 2^{2})}^{\frac{1.4}{1.4 - 1}}

Next Step Evaluate

∴

P r = 7.82444906686726

LAST Step Rounding Answer

∴

P r = 7.8244

Ratio of Stagnation and Static Pressure Formula Elements

Variables

Stagnation to Static Pressure

The Stagnation to Static Pressure ratio depends upon the Mach number and ratio of specific heats.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stagnation to Static Pressure

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: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Heat Ratio

Mach Number

Mach Number is a dimensionless quantity 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

Other formulas in Governing Equations and Sound Wave category

Go Speed of Sound

a = \sqrt{γ \cdot [R-Dry-Air] \cdot T s}

Go Mach Number

M = \frac{V b}{a}

Go Mach Angle

μ = a \sin (\frac{1}{M})

Go Mayer's Formula

R = C p - C v

How to Evaluate Ratio of Stagnation and Static Pressure?

Ratio of Stagnation and Static Pressure evaluator uses Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)) to evaluate the Stagnation to Static Pressure, Ratio of Stagnation and Static Pressure equation, relates the ratio of stagnation pressure to static pressure to the Mach number of the flow and the specific heat ratio of the gas. It demonstrates how the pressure of a compressible flow changes due to the effects of compression or expansion associated with changes in flow velocity and Mach number. Stagnation to Static Pressure is denoted by P_r symbol.

How to evaluate Ratio of Stagnation and Static Pressure using this online evaluator? To use this online evaluator for Ratio of Stagnation and Static Pressure, enter Specific Heat Ratio (γ) & Mach Number (M) and hit the calculate button.

FAQs on Ratio of Stagnation and Static Pressure

What is the formula to find Ratio of Stagnation and Static Pressure?

The formula of Ratio of Stagnation and Static Pressure is expressed as Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)). Here is an example- 7.841368 = (1+((1.4-1)/2)*2^2)^(1.4/(1.4-1)).

How to calculate Ratio of Stagnation and Static Pressure?

With Specific Heat Ratio (γ) & Mach Number (M) we can find Ratio of Stagnation and Static Pressure using the formula - Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1)).

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Ratio of Stagnation and Static Pressure Formula

Ratio of Stagnation and Static Pressure Example

Ratio of Stagnation and Static Pressure Solution

Ratio of Stagnation and Static Pressure Formula Elements

Other formulas in Governing Equations and Sound Wave category

How to Evaluate Ratio of Stagnation and Static Pressure?

FAQs on Ratio of Stagnation and Static Pressure

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