Velocity ahead of Normal Shock from Normal Shock Energy Equation Calculator

✖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 Downstream of Shock [V₂]			+10% -10%
✖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 ahead of Normal Shock from Normal Shock Energy Equation [V₁]

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Velocity ahead of Normal Shock from Normal Shock Energy Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Enthalpy Behind Normal Shock: 262.304 Joule per Kilogram --> 262.304 Joule per Kilogram No Conversion Required
Velocity Downstream of Shock: 79.351 Meter per Second --> 79.351 Meter per Second No Conversion Required
Enthalpy Ahead of Normal Shock: 200.203 Joule per Kilogram --> 200.203 Joule per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = sqrt(2*(h₂+(V₂^2)/2-h₁)) --> sqrt(2*(262.304+(79.351^2)/2-200.203))

Evaluating ... ...

V₁ = 80.1297897226743

STEP 3: Convert Result to Output's Unit

80.1297897226743 Meter per Second --> No Conversion Required

FINAL ANSWER

80.1297897226743 ≈ 80.12979 Meter per Second <-- Velocity Upstream of Shock

(Calculation completed in 00.007 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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< Upstream Shock Waves Calculators

Density ahead of Normal Shock using Normal Shock Momentum Equation

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

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation

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

Velocity ahead of Normal Shock from Normal Shock Energy Equation

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

Enthalpy ahead of Normal Shock from Normal Shock Energy Equation

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

Velocity ahead of Normal Shock from Normal Shock Energy Equation Formula

LaTeX Go

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

What does the energy equation for normal shock signify?

The energy equation for normal shock states that the total enthalpy remains same before and after the normal shock because the flow across normal shock wave is adiabatic, and for steady, inviscid, adiabatic flow, total enthalpy is constant.

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

Velocity ahead of Normal Shock from Normal Shock Energy Equation calculator uses Velocity Upstream of Shock = sqrt(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy Ahead of Normal Shock)) to calculate 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 calculate Velocity ahead of Normal Shock from Normal Shock Energy Equation using this online calculator? To use this online calculator 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. Here is how the Velocity ahead of Normal Shock from Normal Shock Energy Equation calculation can be explained with given input values -> 80.12979 = sqrt(2*(262.304+(79.351^2)/2-200.203)).

FAQ

What is Velocity ahead of Normal Shock from Normal Shock Energy Equation?

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

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

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 is calculated using Velocity Upstream of Shock = sqrt(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy Ahead of Normal Shock)). To calculate Velocity ahead of Normal Shock from Normal Shock Energy Equation, you need Enthalpy Behind Normal Shock (h₂), Velocity Downstream of Shock (V₂) & Enthalpy Ahead of Normal Shock (h₁). With our tool, you need to enter the respective value for Enthalpy Behind Normal Shock, Velocity Downstream of Shock & Enthalpy Ahead of 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 Upstream of Shock?

In this formula, Velocity Upstream of Shock uses Enthalpy Behind Normal Shock, Velocity Downstream of Shock & Enthalpy Ahead of Normal Shock. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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