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Static Pressure behind Normal Shock using Normal Shock Momentum Equation Formula

GoStatic Pressure behind Normal Shock for given Upstream Pressure and Mach Number Formula

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Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave. Check FAQs

P 2 = P 1 + ρ 1 \cdot {V 1}^{2} - ρ 2 \cdot {V 2}^{2}

P₂ - Static pressure Behind Normal shock?P₁ - Static Pressure Ahead of Normal Shock?ρ₁ - Density Ahead of Normal Shock?V₁ - Velocity Upstream of Shock?ρ₂ - Density Behind Normal Shock?V₂ - Velocity Downstream of Shock?

Static Pressure behind Normal Shock using Normal Shock Momentum Equation Example

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Here is how the Static Pressure behind Normal Shock using Normal Shock Momentum Equation equation looks like with Values.

Here is how the Static Pressure behind Normal Shock using Normal Shock Momentum Equation equation looks like with Units.

Here is how the Static Pressure behind Normal Shock using Normal Shock Momentum Equation equation looks like.

110.0504 = 65.374 + 5.4 \cdot {80.134}^{2} - 5.5 \cdot {79.351}^{2}

110.0504Pa = 65.374Pa + 5.4kg/m³ \cdot {80.134m/s}^{2} - 5.5kg/m³ \cdot {79.351m/s}^{2}

110.0504 = 65.374 + 5.4 \cdot {80.134}^{2} - 5.5 \cdot {79.351}^{2}

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Static Pressure behind Normal Shock using Normal Shock Momentum Equation Solution

Follow our step by step solution on how to calculate Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

FIRST Step Consider the formula

P 2 = P 1 + ρ 1 \cdot {V 1}^{2} - ρ 2 \cdot {V 2}^{2}

Next Step Substitute values of Variables

∴

P 2 = 65.374Pa + 5.4kg/m³ \cdot {80.134m/s}^{2} - 5.5kg/m³ \cdot {79.351m/s}^{2}

Next Step Prepare to Evaluate

∴

P 2 = 65.374 + 5.4 \cdot {80.134}^{2} - 5.5 \cdot {79.351}^{2}

Next Step Evaluate

∴

P 2 = 110.050356900007Pa

LAST Step Rounding Answer

∴

P 2 = 110.0504Pa

Static Pressure behind Normal Shock using Normal Shock Momentum Equation Formula Elements

Variables

Static pressure Behind Normal shock

Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave.

Symbol: P₂

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Static pressure Behind Normal shock

Static Pressure Ahead of Normal Shock

Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.

Symbol: P₁

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Static Pressure Ahead of Normal Shock

Density Ahead of Normal Shock

Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave.

Symbol: ρ₁

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Ahead of Normal Shock

Velocity Upstream of Shock

Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.

Symbol: V₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Upstream of Shock

Density Behind Normal Shock

Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.

Symbol: ρ₂

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Behind Normal Shock

Velocity Downstream of Shock

Velocity Downstream of Shock is the velocity of flow behind the shock wave.

Symbol: V₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Downstream of Shock

Other Formulas to find Static pressure Behind Normal shock

Go Static Pressure behind Normal Shock for given Upstream Pressure and Mach Number

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

Other formulas in Downstream Shock Waves category

Go Characteristic Mach Number behind Shock

M2 cr = \frac{1}{M1 cr}

Go Mach Number behind Shock

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

Go Velocity behind Normal Shock

V 2 = \frac{V 1}{\frac{γ + 1}{(γ - 1) + \frac{2}{M^{2}}}}

Go Density behind Normal Shock using Normal Shock Momentum Equation

ρ 2 = \frac{P 1 + ρ 1 \cdot {V 1}^{2} - P 2}{{V 2}^{2}}

How to Evaluate Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

Static Pressure behind Normal Shock using Normal Shock Momentum Equation evaluator uses Static pressure Behind Normal shock = Static Pressure Ahead of Normal Shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2-Density Behind Normal Shock*Velocity Downstream of Shock^2 to evaluate the Static pressure Behind Normal shock, Static Pressure behind Normal Shock using Normal Shock Momentum Equation formula is defined as a relationship that describes the pressure changes across a normal shock wave in compressible flow, highlighting the effects of velocity and density variations on pressure. Static pressure Behind Normal shock is denoted by P₂ symbol.

How to evaluate Static Pressure behind Normal Shock using Normal Shock Momentum Equation using this online evaluator? To use this online evaluator for Static Pressure behind Normal Shock using Normal Shock Momentum Equation, enter Static Pressure Ahead of Normal Shock (P₁), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁), Density Behind Normal Shock (ρ₂) & Velocity Downstream of Shock (V₂) and hit the calculate button.

FAQs on Static Pressure behind Normal Shock using Normal Shock Momentum Equation

What is the formula to find Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

The formula of Static Pressure behind Normal Shock using Normal Shock Momentum Equation is expressed as Static pressure Behind Normal shock = Static Pressure Ahead of Normal Shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2-Density Behind Normal Shock*Velocity Downstream of Shock^2. Here is an example- 78969.18 = 65.374+5.4*80.134^2-5.5*79.351^2.

How to calculate Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

With Static Pressure Ahead of Normal Shock (P₁), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁), Density Behind Normal Shock (ρ₂) & Velocity Downstream of Shock (V₂) we can find Static Pressure behind Normal Shock using Normal Shock Momentum Equation using the formula - Static pressure Behind Normal shock = Static Pressure Ahead of Normal Shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2-Density Behind Normal Shock*Velocity Downstream of Shock^2.

What are the other ways to Calculate Static pressure Behind Normal shock?

Here are the different ways to Calculate Static pressure Behind Normal shock-

Static pressure Behind Normal shock=Static Pressure Ahead of Normal Shock*(1+((2*Specific Heat Ratio)/(Specific Heat Ratio+1))*(Mach Number Ahead of Normal Shock^2-1))

Can the Static Pressure behind Normal Shock using Normal Shock Momentum Equation be negative?

No, the Static Pressure behind Normal Shock using Normal Shock Momentum Equation, measured in Pressure cannot be negative.

Which unit is used to measure Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

Static Pressure behind Normal Shock using Normal Shock Momentum Equation is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Static Pressure behind Normal Shock using Normal Shock Momentum Equation can be measured.

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Static Pressure behind Normal Shock using Normal Shock Momentum Equation Formula

​GoStatic Pressure behind Normal Shock for given Upstream Pressure and Mach Number Formula

Static Pressure behind Normal Shock using Normal Shock Momentum Equation Example

Static Pressure behind Normal Shock using Normal Shock Momentum Equation Solution

Static Pressure behind Normal Shock using Normal Shock Momentum Equation Formula Elements

Other Formulas to find Static pressure Behind Normal shock

Other formulas in Downstream Shock Waves category

How to Evaluate Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

FAQs on Static Pressure behind Normal Shock using Normal Shock Momentum Equation

Variable Name

GoStatic Pressure behind Normal Shock for given Upstream Pressure and Mach Number Formula