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Velocity behind Normal Shock from Normal Shock Energy Equation Formula

GoVelocity behind Normal Shock Formula

GoVelocity behind Normal Shock by Normal Shock Momentum Equation Formula

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

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

V₂ - Velocity Downstream of Shock?h₁ - Enthalpy Ahead of Normal Shock?V₁ - Velocity Upstream of Shock?h₂ - Enthalpy Behind Normal Shock?

Velocity behind Normal Shock from Normal Shock Energy Equation Example

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Here is how the Velocity behind Normal Shock from Normal Shock Energy Equation equation looks like with Values.

Here is how the Velocity behind Normal Shock from Normal Shock Energy Equation equation looks like with Units.

Here is how the Velocity behind Normal Shock from Normal Shock Energy Equation equation looks like.

79.3553 = \sqrt{2 \cdot (200.203 + \frac{{80.134}^{2}}{2} - 262.304)}

79.3553m/s = \sqrt{2 \cdot (200.203J/kg + \frac{{80.134m/s}^{2}}{2} - 262.304J/kg)}

79.3553 = \sqrt{2 \cdot (200.203 + \frac{{80.134}^{2}}{2} - 262.304)}

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Velocity behind Normal Shock from Normal Shock Energy Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 2 = \sqrt{2 \cdot (200.203J/kg + \frac{{80.134m/s}^{2}}{2} - 262.304J/kg)}

Next Step Prepare to Evaluate

∴

V 2 = \sqrt{2 \cdot (200.203 + \frac{{80.134}^{2}}{2} - 262.304)}

Next Step Evaluate

∴

V 2 = 79.355251596854m/s

LAST Step Rounding Answer

∴

V 2 = 79.3553m/s

Velocity behind Normal Shock from Normal Shock Energy 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

Enthalpy Ahead of Normal Shock

Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.

Symbol: h₁

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Enthalpy 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

Enthalpy Behind Normal Shock

Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.

Symbol: h₂

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Enthalpy 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 by Normal Shock Momentum Equation

V 2 = \sqrt{\frac{P 1 - P 2 + ρ 1 \cdot {V 1}^{2}}{ρ 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 from Normal Shock Energy Equation?

Velocity behind Normal Shock from Normal Shock Energy Equation evaluator uses Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock)) to evaluate the Velocity Downstream of Shock, Velocity behind Normal Shock from Normal Shock Energy Equation formula is defined as a representation of the speed of fluid flow after passing through a normal shock wave, illustrating the energy transformation and pressure changes in compressible flow dynamics. Velocity Downstream of Shock is denoted by V₂ symbol.

How to evaluate Velocity behind Normal Shock from Normal Shock Energy Equation using this online evaluator? To use this online evaluator for Velocity behind Normal Shock from Normal Shock Energy Equation, enter Enthalpy Ahead of Normal Shock (h₁), Velocity Upstream of Shock (V₁) & Enthalpy Behind Normal Shock (h₂) and hit the calculate button.

FAQs on Velocity behind Normal Shock from Normal Shock Energy Equation

What is the formula to find Velocity behind Normal Shock from Normal Shock Energy Equation?

The formula of Velocity behind Normal Shock from Normal Shock Energy Equation is expressed as Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock)). Here is an example- 144.5711 = sqrt(2*(200.203+(80.134^2)/2-262.304)).

How to calculate Velocity behind Normal Shock from Normal Shock Energy Equation?

With Enthalpy Ahead of Normal Shock (h₁), Velocity Upstream of Shock (V₁) & Enthalpy Behind Normal Shock (h₂) we can find Velocity behind Normal Shock from Normal Shock Energy Equation using the formula - Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy 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((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)
Velocity Downstream of Shock=(Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock

Can the Velocity behind Normal Shock from Normal Shock Energy Equation be negative?

No, the Velocity behind Normal Shock from Normal Shock Energy Equation, measured in Speed cannot be negative.

Which unit is used to measure Velocity behind Normal Shock from Normal Shock Energy Equation?

Velocity behind Normal Shock from Normal Shock Energy 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 from Normal Shock Energy Equation can be measured.

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Velocity behind Normal Shock from Normal Shock Energy Equation Formula

​GoVelocity behind Normal Shock Formula

​GoVelocity behind Normal Shock by Normal Shock Momentum Equation Formula

Velocity behind Normal Shock from Normal Shock Energy Equation Example

Velocity behind Normal Shock from Normal Shock Energy Equation Solution

Velocity behind Normal Shock from Normal Shock Energy 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 from Normal Shock Energy Equation?

FAQs on Velocity behind Normal Shock from Normal Shock Energy Equation

Variable Name

GoVelocity behind Normal Shock Formula

GoVelocity behind Normal Shock by Normal Shock Momentum Equation Formula