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Flow Velocity Downstream of Shock Wave using Continuity 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 = \frac{ρ 1 \cdot V 1}{ρ 2}

V₂ - Velocity Downstream of Shock?ρ₁ - Density Ahead of Normal Shock?V₁ - Velocity Upstream of Shock?ρ₂ - Density Behind Normal Shock?

Flow Velocity Downstream of Shock Wave using Continuity Equation Example

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Here is how the Flow Velocity Downstream of Shock Wave using Continuity Equation equation looks like with Values.

Here is how the Flow Velocity Downstream of Shock Wave using Continuity Equation equation looks like with Units.

Here is how the Flow Velocity Downstream of Shock Wave using Continuity Equation equation looks like.

78.677 = \frac{5.4 \cdot 80.134}{5.5}

78.677m/s = \frac{5.4kg/m³ \cdot 80.134m/s}{5.5kg/m³}

78.677 = \frac{5.4 \cdot 80.134}{5.5}

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Flow Velocity Downstream of Shock Wave using Continuity Equation Solution

Follow our step by step solution on how to calculate Flow Velocity Downstream of Shock Wave using Continuity Equation?

FIRST Step Consider the formula

V 2 = \frac{ρ 1 \cdot V 1}{ρ 2}

Next Step Substitute values of Variables

∴

V 2 = \frac{5.4kg/m³ \cdot 80.134m/s}{5.5kg/m³}

Next Step Prepare to Evaluate

∴

V 2 = \frac{5.4 \cdot 80.134}{5.5}

Next Step Evaluate

∴

V 2 = 78.6770181818182m/s

LAST Step Rounding Answer

∴

V 2 = 78.677m/s

Flow Velocity Downstream of Shock Wave using Continuity Equation 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

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

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 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}}

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 Flow Velocity Downstream of Shock Wave using Continuity Equation?

Flow Velocity Downstream of Shock Wave using Continuity Equation evaluator uses Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock to evaluate the Velocity Downstream of Shock, The Flow Velocity Downstream of Shock Wave using Continuity Equation computes the velocity of a fluid downstream of a normal shock wave by applying the principle of continuity. This formula considers the density ahead of the shock, the velocity upstream of the shock, and the density behind the shock to determine the velocity downstream of the shock. Velocity Downstream of Shock is denoted by V₂ symbol.

How to evaluate Flow Velocity Downstream of Shock Wave using Continuity Equation using this online evaluator? To use this online evaluator for Flow Velocity Downstream of Shock Wave using Continuity Equation, enter Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Density Behind Normal Shock (ρ₂) and hit the calculate button.

FAQs on Flow Velocity Downstream of Shock Wave using Continuity Equation

What is the formula to find Flow Velocity Downstream of Shock Wave using Continuity Equation?

The formula of Flow Velocity Downstream of Shock Wave using Continuity Equation is expressed as Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock. Here is an example- 142.3636 = (5.4*80.134)/5.5.

How to calculate Flow Velocity Downstream of Shock Wave using Continuity Equation?

With Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Density Behind Normal Shock (ρ₂) we can find Flow Velocity Downstream of Shock Wave using Continuity Equation using the formula - Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock.

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=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)

Can the Flow Velocity Downstream of Shock Wave using Continuity Equation be negative?

No, the Flow Velocity Downstream of Shock Wave using Continuity Equation, measured in Speed cannot be negative.

Which unit is used to measure Flow Velocity Downstream of Shock Wave using Continuity Equation?

Flow Velocity Downstream of Shock Wave using Continuity 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 Flow Velocity Downstream of Shock Wave using Continuity Equation can be measured.

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Flow Velocity Downstream of Shock Wave using Continuity Equation Formula

​GoVelocity behind Normal Shock Formula

​GoVelocity behind Normal Shock from Normal Shock Energy Equation Formula

Flow Velocity Downstream of Shock Wave using Continuity Equation Example

Flow Velocity Downstream of Shock Wave using Continuity Equation Solution

Flow Velocity Downstream of Shock Wave using Continuity Equation Formula Elements

Other Formulas to find Velocity Downstream of Shock

Other formulas in Downstream Shock Waves category

How to Evaluate Flow Velocity Downstream of Shock Wave using Continuity Equation?

FAQs on Flow Velocity Downstream of Shock Wave using Continuity Equation

Variable Name

GoVelocity behind Normal Shock Formula

GoVelocity behind Normal Shock from Normal Shock Energy Equation Formula