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Velocity behind Normal Shock by Normal Shock Momentum Equation Formula

GoVelocity behind Normal Shock Formula

GoVelocity behind Normal Shock from Normal Shock Energy Equation Formula

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

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

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

Velocity behind Normal Shock by Normal Shock Momentum Equation Example

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

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

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

79.3511 = \sqrt{\frac{65.374 - 110 + 5.4 \cdot {80.134}^{2}}{5.5}}

79.3511m/s = \sqrt{\frac{65.374Pa - 110Pa + 5.4kg/m³ \cdot {80.134m/s}^{2}}{5.5kg/m³}}

79.3511 = \sqrt{\frac{65.374 - 110 + 5.4 \cdot {80.134}^{2}}{5.5}}

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Velocity behind Normal Shock by Normal Shock Momentum Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 2 = \sqrt{\frac{65.374Pa - 110Pa + 5.4kg/m³ \cdot {80.134m/s}^{2}}{5.5kg/m³}}

Next Step Prepare to Evaluate

∴

V 2 = \sqrt{\frac{65.374 - 110 + 5.4 \cdot {80.134}^{2}}{5.5}}

Next Step Evaluate

∴

V 2 = 79.3510576917536m/s

LAST Step Rounding Answer

∴

V 2 = 79.3511m/s

Velocity behind Normal Shock by Normal Shock Momentum Equation Formula Elements

Variables

Functions

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

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 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

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 Downstream of Shock

Go Velocity behind Normal Shock

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

Go Velocity behind Normal Shock from Normal Shock Energy Equation

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

Go Flow Velocity Downstream of Shock Wave using Continuity Equation

V 2 = \frac{ρ 1 \cdot V 1}{ρ 2}

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 Static Pressure behind Normal Shock using Normal Shock Momentum Equation

P 2 = P 1 + ρ 1 \cdot {V 1}^{2} - ρ 2 \cdot {V 2}^{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 Velocity behind Normal Shock by Normal Shock Momentum Equation?

Velocity behind Normal Shock by Normal Shock Momentum Equation evaluator uses Velocity Downstream of Shock = sqrt((Static Pressure Ahead of Normal Shock-Static pressure Behind Normal shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2)/Density Behind Normal Shock) to evaluate the Velocity Downstream of Shock, The Velocity behind Normal Shock by Normal Shock Momentum Equation calculates the velocity of a fluid downstream of a normal shock wave using the Normal Shock Momentum Equation. This formula incorporates parameters such as the static pressures ahead and behind the shock, the density ahead of the shock, and the velocity upstream of the shock. It provides crucial insights into the change in velocity resulting from the passage of the shock wave. Velocity Downstream of Shock is denoted by V₂ symbol.

How to evaluate Velocity behind Normal Shock by Normal Shock Momentum Equation using this online evaluator? To use this online evaluator for Velocity behind Normal Shock by Normal Shock Momentum Equation, enter Static Pressure Ahead of Normal Shock (P₁), Static pressure Behind Normal shock (P₂), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Density Behind Normal Shock (ρ₂) and hit the calculate button.

FAQs on Velocity behind Normal Shock by Normal Shock Momentum Equation

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

The formula of Velocity behind Normal Shock by Normal Shock Momentum Equation is expressed as Velocity Downstream of Shock = sqrt((Static Pressure Ahead of Normal Shock-Static pressure Behind Normal shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2)/Density Behind Normal Shock). Here is an example- 143.6475 = sqrt((65.374-110+5.4*80.134^2)/5.5).

How to calculate Velocity behind Normal Shock by Normal Shock Momentum Equation?

With Static Pressure Ahead of Normal Shock (P₁), Static pressure Behind Normal shock (P₂), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Density Behind Normal Shock (ρ₂) we can find Velocity behind Normal Shock by Normal Shock Momentum Equation using the formula - Velocity Downstream of Shock = sqrt((Static Pressure Ahead of Normal Shock-Static pressure Behind Normal shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2)/Density Behind Normal Shock). This formula also uses Square Root (sqrt) function(s).

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

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

Velocity Downstream of Shock=Velocity Upstream of Shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+2/(Mach Number^2)))
Velocity Downstream of Shock=sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock))
Velocity Downstream of Shock=(Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock

Can the Velocity behind Normal Shock by Normal Shock Momentum Equation be negative?

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

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

Velocity behind 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 behind Normal Shock by Normal Shock Momentum Equation can be measured.

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Velocity behind Normal Shock by Normal Shock Momentum Equation Formula

​GoVelocity behind Normal Shock Formula

​GoVelocity behind Normal Shock from Normal Shock Energy Equation Formula

Velocity behind Normal Shock by Normal Shock Momentum Equation Example

Velocity behind Normal Shock by Normal Shock Momentum Equation Solution

Velocity behind Normal Shock by Normal Shock Momentum Equation Formula Elements

Other Formulas to find Velocity Downstream of Shock

Other formulas in Downstream Shock Waves category

How to Evaluate Velocity behind Normal Shock by Normal Shock Momentum Equation?

FAQs on Velocity behind Normal Shock by Normal Shock Momentum Equation

Variable Name

GoVelocity behind Normal Shock Formula

GoVelocity behind Normal Shock from Normal Shock Energy Equation Formula