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Velocity behind Normal Shock Formula

GoVelocity behind Normal Shock from Normal Shock Energy Equation 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 = \frac{V 1}{\frac{γ + 1}{(γ - 1) + \frac{2}{M^{2}}}}

V₂ - Velocity Downstream of Shock?V₁ - Velocity Upstream of Shock?γ - Specific Heat Ratio?M - Mach Number?

Velocity behind Normal Shock Example

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

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

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

76.3007 = \frac{80.134}{\frac{1.4 + 1}{(1.4 - 1) + \frac{2}{{1.03}^{2}}}}

76.3007m/s = \frac{80.134m/s}{\frac{1.4 + 1}{(1.4 - 1) + \frac{2}{{1.03}^{2}}}}

76.3007 = \frac{80.134}{\frac{1.4 + 1}{(1.4 - 1) + \frac{2}{{1.03}^{2}}}}

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Velocity behind Normal Shock Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 2 = \frac{80.134m/s}{\frac{1.4 + 1}{(1.4 - 1) + \frac{2}{{1.03}^{2}}}}

Next Step Prepare to Evaluate

∴

V 2 = \frac{80.134}{\frac{1.4 + 1}{(1.4 - 1) + \frac{2}{{1.03}^{2}}}}

Next Step Evaluate

∴

V 2 = 76.3006504854369m/s

LAST Step Rounding Answer

∴

V 2 = 76.3007m/s

Velocity behind Normal Shock Formula Elements

Variables

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

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

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be between 1 to 2.

Formulas to find Specific Heat Ratio

Mach Number

Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Other Formulas to find Velocity Downstream of Shock

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 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?

Velocity behind Normal Shock evaluator uses Velocity Downstream of Shock = Velocity Upstream of Shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+2/(Mach Number^2))) to evaluate the Velocity Downstream of Shock, The Velocity behind Normal Shock calculates the velocity of a fluid downstream of a normal shock wave. This formula incorporates parameters such as the velocity upstream of the shock, the ratio of specific heats for the fluid, and the Mach number of the flow. It provides valuable 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 using this online evaluator? To use this online evaluator for Velocity behind Normal Shock, enter Velocity Upstream of Shock (V₁), Specific Heat Ratio (γ) & Mach Number (M) and hit the calculate button.

FAQs on Velocity behind Normal Shock

What is the formula to find Velocity behind Normal Shock?

The formula of Velocity behind Normal Shock is expressed as Velocity Downstream of Shock = Velocity Upstream of Shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+2/(Mach Number^2))). Here is an example- 138.0637 = 80.134/((1.4+1)/((1.4-1)+2/(1.03^2))).

How to calculate Velocity behind Normal Shock?

With Velocity Upstream of Shock (V₁), Specific Heat Ratio (γ) & Mach Number (M) we can find Velocity behind Normal Shock using the formula - Velocity Downstream of Shock = Velocity Upstream of Shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+2/(Mach Number^2))).

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=sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock))
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 be negative?

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

Which unit is used to measure Velocity behind Normal Shock?

Velocity behind Normal Shock 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 can be measured.

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Velocity behind Normal Shock Formula

​GoVelocity behind Normal Shock from Normal Shock Energy Equation Formula

​GoVelocity behind Normal Shock by Normal Shock Momentum Equation Formula

Velocity behind Normal Shock Example

Velocity behind Normal Shock Solution

Velocity behind Normal Shock Formula Elements

Other Formulas to find Velocity Downstream of Shock

Other formulas in Downstream Shock Waves category

How to Evaluate Velocity behind Normal Shock?

FAQs on Velocity behind Normal Shock

Variable Name

GoVelocity behind Normal Shock from Normal Shock Energy Equation Formula

GoVelocity behind Normal Shock by Normal Shock Momentum Equation Formula