Velocity 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%
✖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 [h₂]			+10% -10%

✖Velocity Downstream of Shock is the velocity of flow behind the shock wave.ⓘ Velocity behind Normal Shock from Normal Shock Energy Equation [V₂]

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Velocity behind Normal Shock from Normal Shock Energy Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock))
V₂ = sqrt(2*(h₁+(V₁^2)/2-h₂))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Velocity Downstream of Shock - (Measured in Meter per Second) - Velocity Downstream of Shock is the velocity of flow behind the shock wave.
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.
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.

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
Enthalpy Behind Normal Shock: 262.304 Joule per Kilogram --> 262.304 Joule per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₂ = sqrt(2*(h₁+(V₁^2)/2-h₂)) --> sqrt(2*(200.203+(80.134^2)/2-262.304))

Evaluating ... ...

V₂ = 79.355251596854

STEP 3: Convert Result to Output's Unit

79.355251596854 Meter per Second --> No Conversion Required

FINAL ANSWER

79.355251596854 ≈ 79.35525 Meter per Second <-- Velocity Downstream of 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 Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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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

Velocity behind Normal Shock from Normal Shock Energy Equation Formula

LaTeX Go

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

Why downstream velocity decreases across normal shock?

The velocity downstream of standing normal shock decreases because the static enthalpy increases after the normal shock and for the total enthalpy to remain constant across the normal shock, the downstream velocity decreases.

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

Velocity behind Normal Shock from Normal Shock Energy Equation calculator uses Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock)) to calculate the Velocity Downstream of Shock, Velocity behind Normal Shock from Normal Shock Energy Equation formula is defined as a representation of the speed of fluid flow after passing through a normal shock wave, illustrating the energy transformation and pressure changes in compressible flow dynamics. Velocity Downstream of Shock is denoted by V₂ symbol.

How to calculate Velocity behind Normal Shock from Normal Shock Energy Equation using this online calculator? To use this online calculator for Velocity behind Normal Shock from Normal Shock Energy Equation, enter Enthalpy Ahead of Normal Shock (h₁), Velocity Upstream of Shock (V₁) & Enthalpy Behind Normal Shock (h₂) and hit the calculate button. Here is how the Velocity behind Normal Shock from Normal Shock Energy Equation calculation can be explained with given input values -> 144.5711 = sqrt(2*(200.203+(80.134^2)/2-262.304)).

FAQ

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

Velocity behind Normal Shock from Normal Shock Energy Equation formula is defined as a representation of the speed of fluid flow after passing through a normal shock wave, illustrating the energy transformation and pressure changes in compressible flow dynamics and is represented as V₂ = sqrt(2*(h₁+(V₁^2)/2-h₂)) or Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind 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, Velocity Upstream of Shock is the velocity of flow ahead of the shock wave & 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.

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

Velocity behind Normal Shock from Normal Shock Energy Equation formula is defined as a representation of the speed of fluid flow after passing through a normal shock wave, illustrating the energy transformation and pressure changes in compressible flow dynamics is calculated using Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock)). To calculate Velocity behind Normal Shock from Normal Shock Energy Equation, you need Enthalpy Ahead of Normal Shock (h₁), Velocity Upstream of Shock (V₁) & Enthalpy Behind Normal Shock (h₂). With our tool, you need to enter the respective value for Enthalpy Ahead of Normal Shock, Velocity Upstream of Shock & Enthalpy Behind Normal 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 Velocity Downstream of Shock?

In this formula, Velocity Downstream of Shock uses Enthalpy Ahead of Normal Shock, Velocity Upstream of Shock & Enthalpy Behind Normal Shock. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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