Enthalpy behind Normal Shock from Normal Shock Energy Equation Calculator

✖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.ⓘ Enthalpy Ahead of Normal Shock [h₁]			+10% -10%
✖Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.ⓘ Velocity Upstream of Shock [V₁]			+10% -10%
✖Velocity Downstream of Shock is the velocity of flow behind the shock wave.ⓘ Velocity Downstream of Shock [V₂]			+10% -10%

✖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.ⓘ Enthalpy behind Normal Shock from Normal Shock Energy Equation [h₂]

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Enthalpy behind Normal Shock from Normal Shock Energy Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2
h₂ = h₁+(V₁^2-V₂^2)/2
This formula uses 4 Variables

Variables Used

Enthalpy Behind Normal Shock - (Measured in Joule per Kilogram) - 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.
Enthalpy Ahead of Normal Shock - (Measured in Joule per Kilogram) - 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.
Velocity Upstream of Shock - (Measured in Meter per Second) - Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
Velocity Downstream of Shock - (Measured in Meter per Second) - Velocity Downstream of Shock is the velocity of flow behind the shock wave.

STEP 1: Convert Input(s) to Base Unit

Enthalpy Ahead of Normal Shock: 200.203 Joule per Kilogram --> 200.203 Joule per Kilogram No Conversion Required
Velocity Upstream of Shock: 80.134 Meter per Second --> 80.134 Meter per Second No Conversion Required
Velocity Downstream of Shock: 79.351 Meter per Second --> 79.351 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h₂ = h₁+(V₁^2-V₂^2)/2 --> 200.203+(80.134^2-79.351^2)/2

Evaluating ... ...

h₂ = 262.6413775

STEP 3: Convert Result to Output's Unit

262.6413775 Joule per Kilogram --> No Conversion Required

FINAL ANSWER

262.6413775 ≈ 262.6414 Joule per Kilogram <-- Enthalpy Behind Normal Shock

(Calculation completed in 00.004 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Downstream Shock Waves Calculators

Mach Number behind Shock

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

Static Pressure behind Normal Shock using Normal Shock Momentum Equation

LaTeX Go Static pressure Behind Normal shock = Static Pressure Ahead of Normal Shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2-Density Behind Normal Shock*Velocity Downstream of Shock^2

Velocity behind Normal Shock

LaTeX Go Velocity Downstream of Shock = Velocity Upstream of Shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+2/(Mach Number^2)))

Characteristic Mach Number behind Shock

LaTeX Go Characteristic Mach Number Behind Shock = 1/Characteristic Mach Number Ahead of Shock

Enthalpy behind Normal Shock from Normal Shock Energy Equation Formula

LaTeX Go

Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2
h₂ = h₁+(V₁^2-V₂^2)/2

What is total enthalpy?

At any point in a flow, the total enthalpy is given by the sum of the static enthalpy plus the kinetic energy, all per unit mass. For a steady, adiabatic inviscid flow total enthalpy remains constant before and after the shock.

What is static enthalpy?

Static enthalpy is defined as the sum of the system's internal energy and the product of its pressure and volume. Static enthalpy changes before and after the normal shock.

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

Enthalpy behind Normal Shock from Normal Shock Energy Equation calculator uses Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2 to calculate 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 calculate Enthalpy behind Normal Shock from Normal Shock Energy Equation using this online calculator? To use this online calculator 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. Here is how the Enthalpy behind Normal Shock from Normal Shock Energy Equation calculation can be explained with given input values -> 7564.412 = 200.203+(80.134^2-79.351^2)/2.

FAQ

What is Enthalpy behind Normal Shock from Normal Shock Energy Equation?

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 and is represented as h₂ = h₁+(V₁^2-V₂^2)/2 or Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2. 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, Velocity Upstream of Shock is the velocity of flow ahead of the shock wave & Velocity Downstream of Shock is the velocity of flow behind the shock wave.

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

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 is calculated using Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2. To calculate Enthalpy behind Normal Shock from Normal Shock Energy Equation, you need Enthalpy Ahead of Normal Shock (h₁), Velocity Upstream of Shock (V₁) & Velocity Downstream of Shock (V₂). With our tool, you need to enter the respective value for Enthalpy Ahead of Normal Shock, Velocity Upstream of Shock & Velocity Downstream of Shock and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Enthalpy Behind Normal Shock?

In this formula, Enthalpy Behind Normal Shock uses Enthalpy Ahead of Normal Shock, Velocity Upstream of Shock & Velocity Downstream of Shock. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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