Density 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%
✖Velocity Downstream of Shock is the velocity of flow behind the shock wave.ⓘ Velocity Downstream of Shock [V₂]			+10% -10%

✖Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.ⓘ Density Downstream of Shock Wave using Continuity Equation [ρ₂]

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Density Downstream of Shock Wave using Continuity Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Velocity Downstream of Shock - (Measured in Meter per Second) - Velocity Downstream of Shock is the velocity of flow behind the 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
Velocity Downstream of Shock: 79.351 Meter per Second --> 79.351 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ₂ = (ρ₁*V₁)/V₂ --> (5.4*80.134)/79.351

Evaluating ... ...

ρ₂ = 5.45328477271868

STEP 3: Convert Result to Output's Unit

5.45328477271868 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

5.45328477271868 ≈ 5.453285 Kilogram per Cubic Meter <-- Density Behind Normal 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

Density Downstream of Shock Wave using Continuity Equation Formula

LaTeX Go

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

What are qualitative changes across the shock waves?

Shock waves are very thin regions in a supersonic flow across which the pressure, density, temperature, and entropy increase, the Mach number, flow velocity, and total pressure decreases, and the total enthalpy stays the same.

How to Calculate Density Downstream of Shock Wave using Continuity Equation?

Density Downstream of Shock Wave using Continuity Equation calculator uses Density Behind Normal Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Velocity Downstream of Shock to calculate the Density Behind Normal Shock, Density Downstream of Shock Wave using Continuity Equation formula is defined as a relationship that describes how the density of a fluid changes after passing through a normal shock wave, ensuring mass conservation in compressible flow scenarios. Density Behind Normal Shock is denoted by ρ₂ symbol.

How to calculate Density Downstream of Shock Wave using Continuity Equation using this online calculator? To use this online calculator for Density Downstream of Shock Wave using Continuity Equation, enter Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Velocity Downstream of Shock (V₂) and hit the calculate button. Here is how the Density Downstream of Shock Wave using Continuity Equation calculation can be explained with given input values -> 9.867551 = (5.4*80.134)/79.351.

FAQ

What is Density Downstream of Shock Wave using Continuity Equation?

Density Downstream of Shock Wave using Continuity Equation formula is defined as a relationship that describes how the density of a fluid changes after passing through a normal shock wave, ensuring mass conservation in compressible flow scenarios and is represented as ρ₂ = (ρ₁*V₁)/V₂ or Density Behind Normal Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Velocity Downstream of 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 & Velocity Downstream of Shock is the velocity of flow behind the shock wave.

How to calculate Density Downstream of Shock Wave using Continuity Equation?

Density Downstream of Shock Wave using Continuity Equation formula is defined as a relationship that describes how the density of a fluid changes after passing through a normal shock wave, ensuring mass conservation in compressible flow scenarios is calculated using Density Behind Normal Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Velocity Downstream of Shock. To calculate Density Downstream of Shock Wave using Continuity Equation, you need Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁) & Velocity Downstream of Shock (V₂). With our tool, you need to enter the respective value for Density Ahead of Normal Shock, Velocity Upstream of Shock & Velocity Downstream of 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 Density Behind Normal Shock?

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

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

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