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Density Downstream of Shock Wave using Continuity Equation Formula

GoDensity behind Normal Shock using Normal Shock Momentum Equation Formula

GoDensity behind Normal Shock given Upstream Density and Mach Number Formula

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Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave. Check FAQs

ρ 2 = \frac{ρ 1 \cdot V 1}{V 2}

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

Density Downstream of Shock Wave using Continuity Equation Example

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

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

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

5.4533 = \frac{5.4 \cdot 80.134}{79.351}

5.4533kg/m³ = \frac{5.4kg/m³ \cdot 80.134m/s}{79.351m/s}

5.4533 = \frac{5.4 \cdot 80.134}{79.351}

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Density Downstream of Shock Wave using Continuity Equation Solution

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

FIRST Step Consider the formula

ρ 2 = \frac{ρ 1 \cdot V 1}{V 2}

Next Step Substitute values of Variables

∴

ρ 2 = \frac{5.4kg/m³ \cdot 80.134m/s}{79.351m/s}

Next Step Prepare to Evaluate

∴

ρ 2 = \frac{5.4 \cdot 80.134}{79.351}

Next Step Evaluate

∴

ρ 2 = 5.45328477271868kg/m³

LAST Step Rounding Answer

∴

ρ 2 = 5.4533kg/m³

Density Downstream of Shock Wave using Continuity Equation Formula Elements

Variables

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

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

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

Other Formulas to find Density Behind Normal Shock

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}}

Go Density behind Normal Shock given Upstream Density and Mach Number

ρ 2 = ρ 1 \cdot (\frac{(γ + 1) \cdot M^{2}}{2 + (γ - 1) \cdot M^{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 Velocity behind Normal Shock

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

How to Evaluate Density Downstream of Shock Wave using Continuity Equation?

Density Downstream of Shock Wave using Continuity Equation evaluator uses Density Behind Normal Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Velocity Downstream of Shock to evaluate the Density Behind Normal Shock, The Density Downstream of Shock Wave using Continuity Equation computes the density of a fluid after it has traversed a shock wave, employing the principle of continuity. This formula elucidates how density changes as a fluid moves through the shock wave, taking into account the density ahead of the shock and the velocities upstream and downstream of the shock. Density Behind Normal Shock is denoted by ρ₂ symbol.

How to evaluate Density Downstream of Shock Wave using Continuity Equation using this online evaluator? To use this online evaluator for Density Downstream of Shock Wave using Continuity Equation, enter Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Velocity Downstream of Shock (V₂) and hit the calculate button.

FAQs on Density Downstream of Shock Wave using Continuity Equation

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

The formula of Density Downstream of Shock Wave using Continuity Equation is expressed as Density Behind Normal Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Velocity Downstream of Shock. Here is an example- 9.867551 = (5.4*80.134)/79.351.

How to calculate Density Downstream of Shock Wave using Continuity Equation?

With Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Velocity Downstream of Shock (V₂) we can find Density Downstream of Shock Wave using Continuity Equation using the formula - Density Behind Normal Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Velocity Downstream of Shock.

What are the other ways to Calculate Density Behind Normal Shock?

Here are the different ways to Calculate Density Behind Normal Shock-

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

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

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

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

Density Downstream of Shock Wave using Continuity Equation is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density Downstream of Shock Wave using Continuity Equation can be measured.

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Density Downstream of Shock Wave using Continuity Equation Formula

​GoDensity behind Normal Shock using Normal Shock Momentum Equation Formula

​GoDensity behind Normal Shock given Upstream Density and Mach Number Formula

Density Downstream of Shock Wave using Continuity Equation Example

Density Downstream of Shock Wave using Continuity Equation Solution

Density Downstream of Shock Wave using Continuity Equation Formula Elements

Other Formulas to find Density Behind Normal Shock

Other formulas in Downstream Shock Waves category

How to Evaluate Density Downstream of Shock Wave using Continuity Equation?

FAQs on Density Downstream of Shock Wave using Continuity Equation

Variable Name

GoDensity behind Normal Shock using Normal Shock Momentum Equation Formula

GoDensity behind Normal Shock given Upstream Density and Mach Number Formula