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Density behind Normal Shock using Normal Shock Momentum Equation Formula

GoDensity behind Normal Shock given Upstream Density and Mach Number Formula

GoDensity Downstream of Shock Wave using Continuity Equation 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{P 1 + ρ 1 \cdot {V 1}^{2} - P 2}{{V 2}^{2}}

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

Density behind Normal Shock using Normal Shock Momentum Equation Example

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Here is how the Density behind Normal Shock using Normal Shock Momentum Equation equation looks like with Values.

Here is how the Density behind Normal Shock using Normal Shock Momentum Equation equation looks like with Units.

Here is how the Density behind Normal Shock using Normal Shock Momentum Equation equation looks like.

5.5 = \frac{65.374 + 5.4 \cdot {80.134}^{2} - 110}{{79.351}^{2}}

5.5kg/m³ = \frac{65.374Pa + 5.4kg/m³ \cdot {80.134m/s}^{2} - 110Pa}{{79.351m/s}^{2}}

5.5 = \frac{65.374 + 5.4 \cdot {80.134}^{2} - 110}{{79.351}^{2}}

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Density behind Normal Shock using Normal Shock Momentum Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ρ 2 = \frac{65.374Pa + 5.4kg/m³ \cdot {80.134m/s}^{2} - 110Pa}{{79.351m/s}^{2}}

Next Step Prepare to Evaluate

∴

ρ 2 = \frac{65.374 + 5.4 \cdot {80.134}^{2} - 110}{{79.351}^{2}}

Next Step Evaluate

∴

ρ 2 = 5.50000799749871kg/m³

LAST Step Rounding Answer

∴

ρ 2 = 5.5kg/m³

Density behind Normal Shock using Normal Shock Momentum 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

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

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

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

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 given Upstream Density and Mach Number

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

Go Density Downstream of Shock Wave using Continuity Equation

ρ 2 = \frac{ρ 1 \cdot V 1}{V 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 behind Normal Shock using Normal Shock Momentum Equation?

Density behind Normal Shock using Normal Shock Momentum Equation evaluator uses 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) to evaluate the Density Behind Normal Shock, The Density behind Normal Shock using Normal Shock Momentum Equation is a fundamental formula in fluid dynamics that calculates the density of a fluid immediately following its passage through a normal shock wave. This equation accounts for various parameters, including static pressures and velocities both ahead and behind the shock wave. Density Behind Normal Shock is denoted by ρ₂ symbol.

How to evaluate Density behind Normal Shock using Normal Shock Momentum Equation using this online evaluator? To use this online evaluator for Density behind Normal Shock using Normal Shock Momentum Equation, enter Static Pressure Ahead of Normal Shock (P₁), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁), Static pressure Behind Normal shock (P₂) & Velocity Downstream of Shock (V₂) and hit the calculate button.

FAQs on Density behind Normal Shock using Normal Shock Momentum Equation

What is the formula to find Density behind Normal Shock using Normal Shock Momentum Equation?

The formula of Density behind Normal Shock using Normal Shock Momentum Equation is expressed as 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). Here is an example- 18.02413 = (65.374+5.4*80.134^2-110)/(79.351^2).

How to calculate Density behind Normal Shock using Normal Shock Momentum Equation?

With Static Pressure Ahead of Normal Shock (P₁), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁), Static pressure Behind Normal shock (P₂) & Velocity Downstream of Shock (V₂) we can find Density behind Normal Shock using Normal Shock Momentum Equation using the formula - 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).

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

Can the Density behind Normal Shock using Normal Shock Momentum Equation be negative?

No, the Density behind Normal Shock using Normal Shock Momentum Equation, measured in Density cannot be negative.

Which unit is used to measure Density behind Normal Shock using Normal Shock Momentum Equation?

Density behind Normal Shock using Normal Shock Momentum 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 behind Normal Shock using Normal Shock Momentum Equation can be measured.

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Density behind Normal Shock using Normal Shock Momentum Equation Formula

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

​GoDensity Downstream of Shock Wave using Continuity Equation Formula

Density behind Normal Shock using Normal Shock Momentum Equation Example

Density behind Normal Shock using Normal Shock Momentum Equation Solution

Density behind Normal Shock using Normal Shock Momentum Equation Formula Elements

Other Formulas to find Density Behind Normal Shock

Other formulas in Downstream Shock Waves category

How to Evaluate Density behind Normal Shock using Normal Shock Momentum Equation?

FAQs on Density behind Normal Shock using Normal Shock Momentum Equation

Variable Name

GoDensity behind Normal Shock given Upstream Density and Mach Number Formula

GoDensity Downstream of Shock Wave using Continuity Equation Formula