Velocity ahead of Normal Shock by Normal Shock Momentum Equation Calculator

✖Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave.ⓘ Static pressure Behind Normal shock [P₂]			+10% -10%
✖Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.ⓘ Static Pressure Ahead of Normal Shock [P₁]			+10% -10%
✖Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.ⓘ Density Behind Normal Shock [ρ₂]			+10% -10%
✖Velocity Downstream of Shock is the velocity of flow behind the shock wave.ⓘ Velocity Downstream of Shock [V₂]			+10% -10%
✖Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave.ⓘ Density Ahead of Normal Shock [ρ₁]			+10% -10%

✖Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.ⓘ Velocity ahead of Normal Shock by Normal Shock Momentum Equation [V₁]

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Velocity ahead of Normal Shock by Normal Shock Momentum Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V₁ = sqrt((P₂-P₁+ρ₂*V₂^2)/ρ₁)
This formula uses 1 Functions, 6 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.
Static pressure Behind Normal shock - (Measured in Pascal) - Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave.
Static Pressure Ahead of Normal Shock - (Measured in Pascal) - Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.
Density Behind Normal Shock - (Measured in Kilogram per Cubic Meter) - Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.
Velocity Downstream of Shock - (Measured in Meter per Second) - Velocity Downstream of Shock is the velocity of flow behind the shock wave.
Density Ahead of Normal Shock - (Measured in Kilogram per Cubic Meter) - Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave.

STEP 1: Convert Input(s) to Base Unit

Static pressure Behind Normal shock: 110 Pascal --> 110 Pascal No Conversion Required
Static Pressure Ahead of Normal Shock: 65.374 Pascal --> 65.374 Pascal No Conversion Required
Density Behind Normal Shock: 5.5 Kilogram per Cubic Meter --> 5.5 Kilogram per Cubic Meter No Conversion Required
Velocity Downstream of Shock: 79.351 Meter per Second --> 79.351 Meter per Second No Conversion Required
Density Ahead of Normal Shock: 5.4 Kilogram per Cubic Meter --> 5.4 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = sqrt((P₂-P₁+ρ₂*V₂^2)/ρ₁) --> sqrt((110-65.374+5.5*79.351^2)/5.4)

Evaluating ... ...

V₁ = 80.1339418139913

STEP 3: Convert Result to Output's Unit

80.1339418139913 Meter per Second --> No Conversion Required

FINAL ANSWER

80.1339418139913 ≈ 80.13394 Meter per Second <-- Velocity Upstream 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 Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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 by Normal Shock Momentum Equation Formula

LaTeX Go

Which parameter govern the changes of flow properties across normal shock?

Continuity, momentum and energy equations across normal shock lead to relations for changes across a normal shock as a function of upstream Mach number only.

How to Calculate Velocity ahead of Normal Shock by Normal Shock Momentum Equation?

Velocity ahead of Normal Shock by Normal Shock Momentum Equation calculator uses 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) to calculate the Velocity Upstream of Shock, Velocity ahead of Normal Shock by Normal Shock Momentum Equation formula is defined as a method to determine the flow velocity of a compressible fluid before a normal shock wave, based on pressure and density changes across the shock. Velocity Upstream of Shock is denoted by V₁ symbol.

How to calculate Velocity ahead of Normal Shock by Normal Shock Momentum Equation using this online calculator? To use this online calculator for Velocity ahead of Normal Shock by Normal Shock Momentum Equation, enter Static pressure Behind Normal shock (P₂), Static Pressure Ahead of Normal Shock (P₁), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂) & Density Ahead of Normal Shock (ρ₁) and hit the calculate button. Here is how the Velocity ahead of Normal Shock by Normal Shock Momentum Equation calculation can be explained with given input values -> 80.13394 = sqrt((110-65.374+5.5*79.351^2)/5.4).

FAQ

What is Velocity ahead of Normal Shock by Normal Shock Momentum Equation?

Velocity ahead of Normal Shock by Normal Shock Momentum Equation formula is defined as a method to determine the flow velocity of a compressible fluid before a normal shock wave, based on pressure and density changes across the shock and is represented as V₁ = sqrt((P₂-P₁+ρ₂*V₂^2)/ρ₁) or 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). Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave, Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock, Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave, Velocity Downstream of Shock is the velocity of flow behind the shock wave & Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave.

How to calculate Velocity ahead of Normal Shock by Normal Shock Momentum Equation?

Velocity ahead of Normal Shock by Normal Shock Momentum Equation formula is defined as a method to determine the flow velocity of a compressible fluid before a normal shock wave, based on pressure and density changes across the shock is calculated using 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). To calculate Velocity ahead of Normal Shock by Normal Shock Momentum Equation, you need Static pressure Behind Normal shock (P₂), Static Pressure Ahead of Normal Shock (P₁), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂) & Density Ahead of Normal Shock (ρ₁). With our tool, you need to enter the respective value for Static pressure Behind Normal shock, Static Pressure Ahead of Normal Shock, Density Behind Normal Shock, Velocity Downstream of Shock & Density 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 Static pressure Behind Normal shock, Static Pressure Ahead of Normal Shock, Density Behind Normal Shock, Velocity Downstream of Shock & Density 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(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy 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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