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Density ahead of Normal Shock using Normal Shock Momentum Equation Formula

GoDensity Upstream of Shock Wave using Continuity Equation Formula

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Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave. Check FAQs

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

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

Density ahead of Normal Shock using Normal Shock Momentum Equation Example

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

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

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

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

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

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

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Density ahead of Normal Shock using Normal Shock Momentum Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ρ 1 = \frac{110Pa + 5.5kg/m³ \cdot {79.351m/s}^{2} - 65.374Pa}{{80.134m/s}^{2}}

Next Step Prepare to Evaluate

∴

ρ 1 = \frac{110 + 5.5 \cdot {79.351}^{2} - 65.374}{{80.134}^{2}}

Next Step Evaluate

∴

ρ 1 = 5.39999215802699kg/m³

LAST Step Rounding Answer

∴

ρ 1 = 5.4kg/m³

Density ahead of Normal Shock using Normal Shock Momentum Equation Formula Elements

Variables

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

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

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

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

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

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

Other Formulas to find Density Ahead of Normal Shock

Go Density Upstream of Shock Wave using Continuity Equation

ρ 1 = \frac{ρ 2 \cdot V 2}{V 1}

Other formulas in Upstream Shock Waves category

Go Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation

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

Go Enthalpy ahead of Normal Shock from Normal Shock Energy Equation

h 1 = h 2 + \frac{{V 2}^{2} - {V 1}^{2}}{2}

Go Velocity ahead of Normal Shock from Normal Shock Energy Equation

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

Go Velocity ahead of Normal Shock by Normal Shock Momentum Equation

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

How to Evaluate Density ahead of Normal Shock using Normal Shock Momentum Equation?

Density ahead of Normal Shock using Normal Shock Momentum Equation evaluator uses Density Ahead of Normal Shock = (Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Static Pressure Ahead of Normal Shock)/(Velocity Upstream of Shock^2) to evaluate the Density Ahead of Normal Shock, Density ahead of Normal Shock using Normal Shock Momentum Equation formula is defined as a method to determine the density of a fluid before a normal shock wave, based on pressure and velocity conditions downstream and upstream of the shock. Density Ahead of Normal Shock is denoted by ρ₁ symbol.

How to evaluate Density ahead of Normal Shock using Normal Shock Momentum Equation using this online evaluator? To use this online evaluator for Density ahead of Normal Shock using Normal Shock Momentum Equation, enter Static pressure Behind Normal shock (P₂), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂), Static Pressure Ahead of Normal Shock (P₁) & Velocity Upstream of Shock (V₁) and hit the calculate button.

FAQs on Density ahead of Normal Shock using Normal Shock Momentum Equation

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

The formula of Density ahead of Normal Shock using Normal Shock Momentum Equation is expressed as Density Ahead of Normal Shock = (Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Static Pressure Ahead of Normal Shock)/(Velocity Upstream of Shock^2). Here is an example- 1.649266 = (110+5.5*79.351^2-65.374)/(80.134^2).

How to calculate Density ahead of Normal Shock using Normal Shock Momentum Equation?

With Static pressure Behind Normal shock (P₂), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂), Static Pressure Ahead of Normal Shock (P₁) & Velocity Upstream of Shock (V₁) we can find Density ahead of Normal Shock using Normal Shock Momentum Equation using the formula - Density Ahead of Normal Shock = (Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Static Pressure Ahead of Normal Shock)/(Velocity Upstream of Shock^2).

What are the other ways to Calculate Density Ahead of Normal Shock?

Here are the different ways to Calculate Density Ahead of Normal Shock-

Density Ahead of Normal Shock=(Density Behind Normal Shock*Velocity Downstream of Shock)/Velocity Upstream of Shock

Can the Density ahead of Normal Shock using Normal Shock Momentum Equation be negative?

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

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

Density ahead of 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 ahead of Normal Shock using Normal Shock Momentum Equation can be measured.

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Density ahead of Normal Shock using Normal Shock Momentum Equation Formula

​GoDensity Upstream of Shock Wave using Continuity Equation Formula

Density ahead of Normal Shock using Normal Shock Momentum Equation Example

Density ahead of Normal Shock using Normal Shock Momentum Equation Solution

Density ahead of Normal Shock using Normal Shock Momentum Equation Formula Elements

Other Formulas to find Density Ahead of Normal Shock

Other formulas in Upstream Shock Waves category

How to Evaluate Density ahead of Normal Shock using Normal Shock Momentum Equation?

FAQs on Density ahead of Normal Shock using Normal Shock Momentum Equation

Variable Name

GoDensity Upstream of Shock Wave using Continuity Equation Formula