Velocity behind Normal Shock by Normal Shock Momentum Equation Calculator

✖Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.ⓘ Static Pressure Ahead of Normal Shock [P₁]			+10% -10%
✖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%
✖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 Upstream of Shock [V₁]			+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 behind Normal Shock by Normal Shock Momentum Equation [V₂]

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Velocity behind Normal Shock by Normal Shock Momentum Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V₂ = sqrt((P₁-P₂+ρ₁*V₁^2)/ρ₂)
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 Downstream of Shock - (Measured in Meter per Second) - Velocity Downstream of Shock is the velocity of flow behind the 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.
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.
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.
Velocity Upstream of Shock - (Measured in Meter per Second) - Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
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.

STEP 1: Convert Input(s) to Base Unit

Static Pressure Ahead of Normal Shock: 65.374 Pascal --> 65.374 Pascal No Conversion Required
Static pressure Behind Normal shock: 110 Pascal --> 110 Pascal No Conversion Required
Density Ahead of Normal Shock: 5.4 Kilogram per Cubic Meter --> 5.4 Kilogram per Cubic Meter No Conversion Required
Velocity Upstream of Shock: 80.134 Meter per Second --> 80.134 Meter per Second No Conversion Required
Density Behind Normal Shock: 5.5 Kilogram per Cubic Meter --> 5.5 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₂ = sqrt((P₁-P₂+ρ₁*V₁^2)/ρ₂) --> sqrt((65.374-110+5.4*80.134^2)/5.5)

Evaluating ... ...

V₂ = 79.3510576917536

STEP 3: Convert Result to Output's Unit

79.3510576917536 Meter per Second --> No Conversion Required

FINAL ANSWER

79.3510576917536 ≈ 79.35106 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 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

Velocity behind 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 behind Normal Shock by Normal Shock Momentum Equation?

Velocity behind Normal Shock by Normal Shock Momentum Equation calculator uses 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) to calculate the Velocity Downstream of Shock, Velocity behind Normal Shock by Normal Shock Momentum Equation formula is defined as a relationship that describes the velocity of fluid flow behind a normal shock wave, taking into account pressure differences and fluid density. Velocity Downstream of Shock is denoted by V₂ symbol.

How to calculate Velocity behind Normal Shock by Normal Shock Momentum Equation using this online calculator? To use this online calculator for Velocity behind Normal Shock by Normal Shock Momentum Equation, enter Static Pressure Ahead of Normal Shock (P₁), Static pressure Behind Normal shock (P₂), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Density Behind Normal Shock (ρ₂) and hit the calculate button. Here is how the Velocity behind Normal Shock by Normal Shock Momentum Equation calculation can be explained with given input values -> 143.6475 = sqrt((65.374-110+5.4*80.134^2)/5.5).

FAQ

What is Velocity behind Normal Shock by Normal Shock Momentum Equation?

Velocity behind Normal Shock by Normal Shock Momentum Equation formula is defined as a relationship that describes the velocity of fluid flow behind a normal shock wave, taking into account pressure differences and fluid density and is represented as V₂ = sqrt((P₁-P₂+ρ₁*V₁^2)/ρ₂) or 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). Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock, Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave, Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave, Velocity Upstream of Shock is the velocity of flow ahead of the shock wave & Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.

How to calculate Velocity behind Normal Shock by Normal Shock Momentum Equation?

Velocity behind Normal Shock by Normal Shock Momentum Equation formula is defined as a relationship that describes the velocity of fluid flow behind a normal shock wave, taking into account pressure differences and fluid density is calculated using 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). To calculate Velocity behind Normal Shock by Normal Shock Momentum Equation, you need Static Pressure Ahead of Normal Shock (P₁), Static pressure Behind Normal shock (P₂), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Density Behind Normal Shock (ρ₂). With our tool, you need to enter the respective value for Static Pressure Ahead of Normal Shock, Static pressure Behind Normal shock, Density Ahead of Normal Shock, Velocity Upstream of Shock & Density 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 Static Pressure Ahead of Normal Shock, Static pressure Behind Normal shock, Density Ahead of Normal Shock, Velocity Upstream of Shock & Density 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(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock))
Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock

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