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Velocity ahead of Normal Shock from Normal Shock Energy Equation Formula

GoVelocity ahead of Normal Shock by Normal Shock Momentum Equation Formula

GoFlow Velocity Upstream of Shock Wave using Continuity Equation Formula

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Velocity Upstream of Shock is the velocity of flow ahead of the shock wave. Check FAQs

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

V₁ - Velocity Upstream of Shock?h₂ - Enthalpy Behind Normal Shock?V₂ - Velocity Downstream of Shock?h₁ - Enthalpy Ahead of Normal Shock?

Velocity ahead of Normal Shock from Normal Shock Energy Equation Example

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Here is how the Velocity ahead of Normal Shock from Normal Shock Energy Equation equation looks like with Values.

Here is how the Velocity ahead of Normal Shock from Normal Shock Energy Equation equation looks like with Units.

Here is how the Velocity ahead of Normal Shock from Normal Shock Energy Equation equation looks like.

80.1298 = \sqrt{2 \cdot (262.304 + \frac{{79.351}^{2}}{2} - 200.203)}

80.1298m/s = \sqrt{2 \cdot (262.304J/kg + \frac{{79.351m/s}^{2}}{2} - 200.203J/kg)}

80.1298 = \sqrt{2 \cdot (262.304 + \frac{{79.351}^{2}}{2} - 200.203)}

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Velocity ahead of Normal Shock from Normal Shock Energy Equation Solution

Follow our step by step solution on how to calculate Velocity ahead of Normal Shock from Normal Shock Energy Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 1 = \sqrt{2 \cdot (262.304J/kg + \frac{{79.351m/s}^{2}}{2} - 200.203J/kg)}

Next Step Prepare to Evaluate

∴

V 1 = \sqrt{2 \cdot (262.304 + \frac{{79.351}^{2}}{2} - 200.203)}

Next Step Evaluate

∴

V 1 = 80.1297897226743m/s

LAST Step Rounding Answer

∴

V 1 = 80.1298m/s

Velocity ahead of Normal Shock from Normal Shock Energy Equation Formula Elements

Variables

Functions

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

Enthalpy Behind Normal Shock

Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.

Symbol: h₂

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Enthalpy 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

Enthalpy Ahead of Normal Shock

Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.

Symbol: h₁

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Enthalpy Ahead of Normal Shock

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Velocity Upstream of Shock

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}}

Go Flow Velocity Upstream of Shock Wave using Continuity Equation

V 1 = \frac{ρ 2 \cdot V 2}{ρ 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 Density ahead of Normal Shock using Normal Shock Momentum Equation

ρ 1 = \frac{P 2 + ρ 2 \cdot {V 2}^{2} - P 1}{{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 Density Upstream of Shock Wave using Continuity Equation

ρ 1 = \frac{ρ 2 \cdot V 2}{V 1}

How to Evaluate Velocity ahead of Normal Shock from Normal Shock Energy Equation?

Velocity ahead of Normal Shock from Normal Shock Energy Equation evaluator uses Velocity Upstream of Shock = sqrt(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy Ahead of Normal Shock)) to evaluate the Velocity Upstream of Shock, The Velocity ahead of normal shock from normal shock energy equation formula is defined as the function of total enthalpy and upstream velocity ahead of the normal shock. The enthalpy used in the formula is enthalpy per unit mass. Velocity Upstream of Shock is denoted by V₁ symbol.

How to evaluate Velocity ahead of Normal Shock from Normal Shock Energy Equation using this online evaluator? To use this online evaluator for Velocity ahead of Normal Shock from Normal Shock Energy Equation, enter Enthalpy Behind Normal Shock (h₂), Velocity Downstream of Shock (V₂) & Enthalpy Ahead of Normal Shock (h₁) and hit the calculate button.

FAQs on Velocity ahead of Normal Shock from Normal Shock Energy Equation

What is the formula to find Velocity ahead of Normal Shock from Normal Shock Energy Equation?

The formula of Velocity ahead of Normal Shock from Normal Shock Energy Equation is expressed as Velocity Upstream of Shock = sqrt(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy Ahead of Normal Shock)). Here is an example- 80.12979 = sqrt(2*(262.304+(79.351^2)/2-200.203)).

How to calculate Velocity ahead of Normal Shock from Normal Shock Energy Equation?

With Enthalpy Behind Normal Shock (h₂), Velocity Downstream of Shock (V₂) & Enthalpy Ahead of Normal Shock (h₁) we can find Velocity ahead of Normal Shock from Normal Shock Energy Equation using the formula - Velocity Upstream of Shock = sqrt(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy Ahead of Normal Shock)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Velocity Upstream of Shock?

Here are the different ways to Calculate Velocity Upstream of Shock-

Velocity Upstream of Shock=sqrt((Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock+Density Behind Normal Shock*Velocity Downstream of Shock^2)/Density Ahead of Normal Shock)
Velocity Upstream of Shock=(Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock

Can the Velocity ahead of Normal Shock from Normal Shock Energy Equation be negative?

No, the Velocity ahead of Normal Shock from Normal Shock Energy Equation, measured in Speed cannot be negative.

Which unit is used to measure Velocity ahead of Normal Shock from Normal Shock Energy Equation?

Velocity ahead of Normal Shock from Normal Shock Energy 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 Velocity ahead of Normal Shock from Normal Shock Energy Equation can be measured.

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Velocity ahead of Normal Shock from Normal Shock Energy Equation Formula

​GoVelocity ahead of Normal Shock by Normal Shock Momentum Equation Formula

​GoFlow Velocity Upstream of Shock Wave using Continuity Equation Formula

Velocity ahead of Normal Shock from Normal Shock Energy Equation Example

Velocity ahead of Normal Shock from Normal Shock Energy Equation Solution

Velocity ahead of Normal Shock from Normal Shock Energy Equation Formula Elements

Other Formulas to find Velocity Upstream of Shock

Other formulas in Upstream Shock Waves category

How to Evaluate Velocity ahead of Normal Shock from Normal Shock Energy Equation?

FAQs on Velocity ahead of Normal Shock from Normal Shock Energy Equation

Variable Name

GoVelocity ahead of Normal Shock by Normal Shock Momentum Equation Formula

GoFlow Velocity Upstream of Shock Wave using Continuity Equation Formula