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Velocity ahead of Normal Shock by Normal Shock Momentum Equation Formula

GoVelocity ahead of Normal Shock from Normal Shock Energy Equation Formula

GoFlow Velocity Upstream of Shock Wave using Continuity Equation Formula

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

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

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

Velocity ahead of Normal Shock by Normal Shock Momentum Equation Example

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Here is how the Velocity ahead of Normal Shock by Normal Shock Momentum Equation equation looks like with Values.

Here is how the Velocity ahead of Normal Shock by Normal Shock Momentum Equation equation looks like with Units.

Here is how the Velocity ahead of Normal Shock by Normal Shock Momentum Equation equation looks like.

80.1339 = \sqrt{\frac{110 - 65.374 + 5.5 \cdot {79.351}^{2}}{5.4}}

80.1339m/s = \sqrt{\frac{110Pa - 65.374Pa + 5.5kg/m³ \cdot {79.351m/s}^{2}}{5.4kg/m³}}

80.1339 = \sqrt{\frac{110 - 65.374 + 5.5 \cdot {79.351}^{2}}{5.4}}

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Velocity ahead of Normal Shock by Normal Shock Momentum Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 1 = \sqrt{\frac{110Pa - 65.374Pa + 5.5kg/m³ \cdot {79.351m/s}^{2}}{5.4kg/m³}}

Next Step Prepare to Evaluate

∴

V 1 = \sqrt{\frac{110 - 65.374 + 5.5 \cdot {79.351}^{2}}{5.4}}

Next Step Evaluate

∴

V 1 = 80.1339418139913m/s

LAST Step Rounding Answer

∴

V 1 = 80.1339m/s

Velocity ahead of Normal Shock by Normal Shock Momentum Equation Formula Elements

Variables

Functions

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

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 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Velocity Upstream of Shock

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 Flow Velocity Upstream of Shock Wave using Continuity Equation

V 1 = \frac{ρ 2 \cdot V 2}{ρ 1}

Other formulas in Upstream Shock Waves category

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

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

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 Density Upstream of Shock Wave using Continuity Equation

ρ 1 = \frac{ρ 2 \cdot V 2}{V 1}

How to Evaluate Velocity ahead of Normal Shock by Normal Shock Momentum Equation?

Velocity ahead of Normal Shock by Normal Shock Momentum Equation evaluator uses Velocity Upstream of Shock = sqrt((Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock+Density Behind Normal Shock*Velocity Downstream of Shock^2)/Density Ahead of Normal Shock) to evaluate the Velocity Upstream of Shock, Velocity ahead of Normal Shock by Normal Shock Momentum Equation formula is defined as a method to determine the flow velocity of a compressible fluid before a normal shock wave, based on pressure and density changes across the shock. Velocity Upstream of Shock is denoted by V₁ symbol.

How to evaluate Velocity ahead of Normal Shock by Normal Shock Momentum Equation using this online evaluator? To use this online evaluator for Velocity ahead of Normal Shock by Normal Shock Momentum Equation, enter Static pressure Behind Normal shock (P₂), Static Pressure Ahead of Normal Shock (P₁), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂) & Density Ahead of Normal Shock (ρ₁) and hit the calculate button.

FAQs on Velocity ahead of Normal Shock by Normal Shock Momentum Equation

What is the formula to find Velocity ahead of Normal Shock by Normal Shock Momentum Equation?

The formula of Velocity ahead of Normal Shock by Normal Shock Momentum Equation is expressed as Velocity Upstream of Shock = sqrt((Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock+Density Behind Normal Shock*Velocity Downstream of Shock^2)/Density Ahead of Normal Shock). Here is an example- 80.13394 = sqrt((110-65.374+5.5*79.351^2)/5.4).

How to calculate Velocity ahead of Normal Shock by Normal Shock Momentum Equation?

With Static pressure Behind Normal shock (P₂), Static Pressure Ahead of Normal Shock (P₁), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂) & Density Ahead of Normal Shock (ρ₁) we can find Velocity ahead of Normal Shock by Normal Shock Momentum Equation using the formula - Velocity Upstream of Shock = sqrt((Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock+Density Behind Normal Shock*Velocity Downstream of Shock^2)/Density Ahead of Normal Shock). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Velocity Upstream of Shock?

Here are the different ways to Calculate Velocity Upstream of Shock-

Velocity Upstream of Shock=sqrt(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy Ahead of Normal Shock))
Velocity Upstream of Shock=(Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock

Can the Velocity ahead of Normal Shock by Normal Shock Momentum Equation be negative?

No, the Velocity ahead of Normal Shock by Normal Shock Momentum Equation, measured in Speed cannot be negative.

Which unit is used to measure Velocity ahead of Normal Shock by Normal Shock Momentum Equation?

Velocity ahead of Normal Shock by Normal Shock Momentum Equation is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity ahead of Normal Shock by Normal Shock Momentum Equation can be measured.

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Velocity ahead of Normal Shock by Normal Shock Momentum Equation Formula

​GoVelocity ahead of Normal Shock from Normal Shock Energy Equation Formula

​GoFlow Velocity Upstream of Shock Wave using Continuity Equation Formula

Velocity ahead of Normal Shock by Normal Shock Momentum Equation Example

Velocity ahead of Normal Shock by Normal Shock Momentum Equation Solution

Velocity ahead of Normal Shock by Normal Shock Momentum Equation Formula Elements

Other Formulas to find Velocity Upstream of Shock

Other formulas in Upstream Shock Waves category

How to Evaluate Velocity ahead of Normal Shock by Normal Shock Momentum Equation?

FAQs on Velocity ahead of Normal Shock by Normal Shock Momentum Equation

Variable Name

GoVelocity ahead of Normal Shock from Normal Shock Energy Equation Formula

GoFlow Velocity Upstream of Shock Wave using Continuity Equation Formula