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Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Formula

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

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

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

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Example

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

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

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

65.3236 = 110 + 5.5 \cdot {79.351}^{2} - 5.4 \cdot {80.134}^{2}

65.3236Pa = 110Pa + 5.5kg/m³ \cdot {79.351m/s}^{2} - 5.4kg/m³ \cdot {80.134m/s}^{2}

65.3236 = 110 + 5.5 \cdot {79.351}^{2} - 5.4 \cdot {80.134}^{2}

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Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P 1 = 110Pa + 5.5kg/m³ \cdot {79.351m/s}^{2} - 5.4kg/m³ \cdot {80.134m/s}^{2}

Next Step Prepare to Evaluate

∴

P 1 = 110 + 5.5 \cdot {79.351}^{2} - 5.4 \cdot {80.134}^{2}

Next Step Evaluate

∴

P 1 = 65.3236430999968Pa

LAST Step Rounding Answer

∴

P 1 = 65.3236Pa

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Formula Elements

Variables

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

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

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

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

Other formulas in Upstream Shock Waves category

Go Density ahead of Normal Shock using Normal Shock Momentum Equation

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

Go Enthalpy ahead of Normal Shock from Normal Shock Energy Equation

h 1 = h 2 + \frac{{V 2}^{2} - {V 1}^{2}}{2}

Go Velocity ahead of Normal Shock from Normal Shock Energy Equation

V 1 = \sqrt{2 \cdot (h 2 + \frac{{V 2}^{2}}{2} - h 1)}

Go Velocity ahead of Normal Shock by Normal Shock Momentum Equation

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

How to Evaluate Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation?

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation evaluator uses Static Pressure Ahead of Normal Shock = Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Density Ahead of Normal Shock*Velocity Upstream of Shock^2 to evaluate the Static Pressure Ahead of Normal Shock, Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation formula is defined as a method to evaluate the pressure conditions before a normal shock wave, considering the changes in fluid density and velocity across the shock. Static Pressure Ahead of Normal Shock is denoted by P₁ symbol.

How to evaluate Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation using this online evaluator? To use this online evaluator for Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation, enter Static pressure Behind Normal shock (P₂), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂), Density Ahead of Normal Shock (ρ₁) & Velocity Upstream of Shock (V₁) and hit the calculate button.

FAQs on Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation

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

The formula of Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation is expressed as Static Pressure Ahead of Normal Shock = Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Density Ahead of Normal Shock*Velocity Upstream of Shock^2. Here is an example- -78793.803395 = 110+5.5*79.351^2-5.4*80.134^2.

How to calculate Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation?

With Static pressure Behind Normal shock (P₂), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂), Density Ahead of Normal Shock (ρ₁) & Velocity Upstream of Shock (V₁) we can find Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation using the formula - Static Pressure Ahead of Normal Shock = Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Density Ahead of Normal Shock*Velocity Upstream of Shock^2.

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

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

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

Static Pressure ahead of 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 ahead of Normal Shock using Normal Shock Momentum Equation can be measured.

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Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Formula

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Example

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Solution

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Formula Elements

Other formulas in Upstream Shock Waves category

How to Evaluate Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation?

FAQs on Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation

Variable Name