Flow Velocity Downstream of Shock Wave using Continuity Equation Calculator

✖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.ⓘ Flow Velocity Downstream of Shock Wave using Continuity Equation [V₂]

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Flow Velocity Downstream of Shock Wave using Continuity Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock
V₂ = (ρ₁*V₁)/ρ₂
This formula uses 4 Variables

Variables Used

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.
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

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 = (ρ₁*V₁)/ρ₂ --> (5.4*80.134)/5.5

Evaluating ... ...

V₂ = 78.6770181818182

STEP 3: Convert Result to Output's Unit

78.6770181818182 Meter per Second --> No Conversion Required

FINAL ANSWER

78.6770181818182 ≈ 78.67702 Meter per Second <-- Velocity Downstream of Shock

(Calculation completed in 00.004 seconds)

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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

Flow Velocity Downstream of Shock Wave using Continuity Equation Formula

LaTeX Go

Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock
V₂ = (ρ₁*V₁)/ρ₂

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 Flow Velocity Downstream of Shock Wave using Continuity Equation?

Flow Velocity Downstream of Shock Wave using Continuity Equation calculator uses Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock to calculate the Velocity Downstream of Shock, Flow Velocity Downstream of Shock Wave using Continuity Equation formula is defined as a method to determine the velocity of fluid flow after a shock wave, ensuring mass conservation across varying densities in compressible flow scenarios. Velocity Downstream of Shock is denoted by V₂ symbol.

How to calculate Flow Velocity Downstream of Shock Wave using Continuity Equation using this online calculator? To use this online calculator for Flow Velocity Downstream of Shock Wave using Continuity Equation, enter 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 Flow Velocity Downstream of Shock Wave using Continuity Equation calculation can be explained with given input values -> 142.3636 = (5.4*80.134)/5.5.

FAQ

What is Flow Velocity Downstream of Shock Wave using Continuity Equation?

Flow Velocity Downstream of Shock Wave using Continuity Equation formula is defined as a method to determine the velocity of fluid flow after a shock wave, ensuring mass conservation across varying densities in compressible flow scenarios and is represented as V₂ = (ρ₁*V₁)/ρ₂ or Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock. 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 Flow Velocity Downstream of Shock Wave using Continuity Equation?

Flow Velocity Downstream of Shock Wave using Continuity Equation formula is defined as a method to determine the velocity of fluid flow after a shock wave, ensuring mass conservation across varying densities in compressible flow scenarios is calculated using Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock. To calculate Flow Velocity Downstream of Shock Wave using Continuity Equation, you need 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 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 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 = 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)

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