Enthalpy behind Normal Shock from Normal Shock Energy Equation Calculator

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✖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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Formula

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Enthalpy behind Normal Shock from Normal Shock Energy Equation

Formula

`"h"_{"2"} = "h"_{"1"}+("V"_{"1"}^2-"V"_{"2"}^2)/2`

Example

`"262.6414J/kg"="200.203J/kg"+(("80.134m/s")^2-("79.351m/s")^2)/2`

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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 00.020 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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Amrita School of Engineering (ASE), Vallikavu

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< 15 Downstream Shock Waves Calculators

Stagnation Pressure behind Normal Shock by Rayleigh Pitot Tube formula

Go Stagnation Pressure Behind Normal Shock = Static Pressure Ahead of Normal Shock*((1-Specific Heat Ratio+2*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2)/(Specific Heat Ratio+1))*(((Specific Heat Ratio+1)^2*Mach Number Ahead of Normal Shock^2)/(4*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-2*(Specific Heat Ratio-1)))^((Specific Heat Ratio)/(Specific Heat Ratio-1))

Static Temperature behind Normal Shock for given Upstream Temperature and Mach Number

Go Temperature Behind Normal Shock = Temperature 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)))

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

Go 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))

Mach Number behind Shock

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)

Velocity behind Normal Shock by Normal Shock Momentum Equation

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

Density behind Normal Shock using Normal Shock Momentum Equation

Go 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)

Static Pressure behind Normal Shock using Normal Shock Momentum Equation

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

Density behind Normal Shock given Upstream Density and Mach Number

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

Static Pressure behind Normal Shock for given Upstream Pressure and Mach Number

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

Velocity behind Normal Shock from Normal Shock Energy Equation

Go Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock))

Velocity behind Normal Shock

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

Enthalpy behind Normal Shock from Normal Shock Energy Equation

Go Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2

Flow Velocity Downstream of Shock Wave using Continuity Equation

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

Density Downstream of Shock Wave using Continuity Equation

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

Characteristic Mach Number behind Shock

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

Enthalpy behind Normal Shock from Normal Shock Energy Equation Formula

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, The Enthalpy behind Normal Shock from Normal Shock Energy Equation calculates the enthalpy of a fluid after it has undergone a normal shock wave, utilizing the Normal Shock Energy Equation. This formula provides insight into the change in enthalpy as the fluid transitions through the shock wave, considering parameters such as the enthalpy ahead of the shock and the velocities upstream and downstream of the shock. 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?

The Enthalpy behind Normal Shock from Normal Shock Energy Equation calculates the enthalpy of a fluid after it has undergone a normal shock wave, utilizing the Normal Shock Energy Equation. This formula provides insight into the change in enthalpy as the fluid transitions through the shock wave, considering parameters such as the enthalpy ahead of the shock and the velocities upstream and downstream of the shock 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?

The Enthalpy behind Normal Shock from Normal Shock Energy Equation calculates the enthalpy of a fluid after it has undergone a normal shock wave, utilizing the Normal Shock Energy Equation. This formula provides insight into the change in enthalpy as the fluid transitions through the shock wave, considering parameters such as the enthalpy ahead of the shock and the velocities upstream and downstream of the shock 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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