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Enthalpy behind Normal Shock from Normal Shock Energy Equation Formula

GoStatic Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number Formula

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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. Check FAQs

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

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

Enthalpy behind Normal Shock from Normal Shock Energy Equation Example

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Here is how the Enthalpy behind Normal Shock from Normal Shock Energy Equation equation looks like with Values.

Here is how the Enthalpy behind Normal Shock from Normal Shock Energy Equation equation looks like with Units.

Here is how the Enthalpy behind Normal Shock from Normal Shock Energy Equation equation looks like.

262.6414 = 200.203 + \frac{{80.134}^{2} - {79.351}^{2}}{2}

262.6414J/kg = 200.203J/kg + \frac{{80.134m/s}^{2} - {79.351m/s}^{2}}{2}

262.6414 = 200.203 + \frac{{80.134}^{2} - {79.351}^{2}}{2}

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Enthalpy behind Normal Shock from Normal Shock Energy Equation Solution

Follow our step by step solution on how to calculate Enthalpy behind Normal Shock from Normal Shock Energy Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h 2 = 200.203J/kg + \frac{{80.134m/s}^{2} - {79.351m/s}^{2}}{2}

Next Step Prepare to Evaluate

∴

h 2 = 200.203 + \frac{{80.134}^{2} - {79.351}^{2}}{2}

Next Step Evaluate

∴

h 2 = 262.6413775J/kg

LAST Step Rounding Answer

∴

h 2 = 262.6414J/kg

Enthalpy behind Normal Shock from Normal Shock Energy Equation Formula Elements

Variables

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

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

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 Enthalpy Behind Normal Shock

Go Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number

h 2 = h 1 \cdot \frac{1 + (\frac{2 \cdot γ}{γ + 1}) \cdot ({M 1}^{2} - 1)}{(γ + 1) \cdot \frac{{M 1}^{2}}{2 + (γ - 1) \cdot {M 1}^{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 Enthalpy behind Normal Shock from Normal Shock Energy Equation?

Enthalpy behind Normal Shock from Normal Shock Energy Equation evaluator uses Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2 to evaluate the Enthalpy Behind Normal Shock, Enthalpy behind Normal Shock from Normal Shock Energy Equation formula is defined as a relationship that describes the change in enthalpy across a normal shock wave, reflecting the energy transformations occurring in compressible flow. Enthalpy Behind Normal Shock is denoted by h₂ symbol.

How to evaluate Enthalpy behind Normal Shock from Normal Shock Energy Equation using this online evaluator? To use this online evaluator for Enthalpy behind Normal Shock from Normal Shock Energy Equation, enter Enthalpy Ahead of Normal Shock (h₁), Velocity Upstream of Shock (V₁) & Velocity Downstream of Shock (V₂) and hit the calculate button.

FAQs on Enthalpy behind Normal Shock from Normal Shock Energy Equation

What is the formula to find Enthalpy behind Normal Shock from Normal Shock Energy Equation?

The formula of Enthalpy behind Normal Shock from Normal Shock Energy Equation is expressed as Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2. Here is an example- 7564.412 = 200.203+(80.134^2-79.351^2)/2.

How to calculate Enthalpy behind Normal Shock from Normal Shock Energy Equation?

With Enthalpy Ahead of Normal Shock (h₁), Velocity Upstream of Shock (V₁) & Velocity Downstream of Shock (V₂) we can find Enthalpy behind Normal Shock from Normal Shock Energy Equation using the formula - Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2.

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

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

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

Can the Enthalpy behind Normal Shock from Normal Shock Energy Equation be negative?

No, the Enthalpy behind Normal Shock from Normal Shock Energy Equation, measured in Specific Energy cannot be negative.

Which unit is used to measure Enthalpy behind Normal Shock from Normal Shock Energy Equation?

Enthalpy behind Normal Shock from Normal Shock Energy Equation is usually measured using the Joule per Kilogram[J/kg] for Specific Energy. Joule per Gram[J/kg], Joule per Centigram[J/kg], Square Meter per Square Second[J/kg] are the few other units in which Enthalpy behind Normal Shock from Normal Shock Energy Equation can be measured.

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Enthalpy behind Normal Shock from Normal Shock Energy Equation Formula

​GoStatic Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number Formula

Enthalpy behind Normal Shock from Normal Shock Energy Equation Example

Enthalpy behind Normal Shock from Normal Shock Energy Equation Solution

Enthalpy behind Normal Shock from Normal Shock Energy Equation Formula Elements

Other Formulas to find Enthalpy Behind Normal Shock

Other formulas in Downstream Shock Waves category

How to Evaluate Enthalpy behind Normal Shock from Normal Shock Energy Equation?

FAQs on Enthalpy behind Normal Shock from Normal Shock Energy Equation

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GoStatic Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number Formula