Flow Velocity Upstream of Shock Wave using Continuity Equation Calculator

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Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

Two-Dimensional Incompressible Flow

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Normal Shock Wave

Governing Equations and Sound Wave

Oblique Shock and Expansion Waves

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Upstream Shock Waves

Downstream Shock Waves

Normal Shock Relations

Property Change Across Shock Waves

✖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.ⓘ Flow Velocity Upstream of Shock Wave using Continuity Equation [V₁]

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Formula

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Flow Velocity Upstream of Shock Wave using Continuity Equation

Formula

`"V"_{"1"} = ("ρ"_{"2"}*"V"_{"2"})/"ρ"_{"1"}`

Example

`"80.82046m/s"=("5.5kg/m³"*"79.351m/s")/"5.4kg/m³"`

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Flow Velocity Upstream of Shock Wave using Continuity Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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 = (ρ₂*V₂)/ρ₁ --> (5.5*79.351)/5.4

Evaluating ... ...

V₁ = 80.820462962963

STEP 3: Convert Result to Output's Unit

80.820462962963 Meter per Second --> No Conversion Required

FINAL ANSWER

80.820462962963 ≈ 80.82046 Meter per Second <-- Velocity Upstream of Shock

(Calculation completed in 00.004 seconds)

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< 7 Upstream Shock Waves Calculators

Velocity ahead of Normal Shock by Normal Shock Momentum Equation

Go 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)

Density ahead of Normal Shock using Normal Shock Momentum Equation

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

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

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

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

Flow Velocity Upstream of Shock Wave using Continuity Equation

Go Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock

Density Upstream of Shock Wave using Continuity Equation

Go Density Ahead of Normal Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Velocity Upstream of Shock

Flow Velocity Upstream of Shock Wave using Continuity Equation Formula

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

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 Flow Velocity Upstream of Shock Wave using Continuity Equation?

Flow Velocity Upstream of Shock Wave using Continuity Equation calculator uses Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock to calculate the Velocity Upstream of Shock, The Flow velocity upstream of shock wave using continuity equation formula calculates the flow velocity ahead or upstream of the normal shock wave using the continuity equation for the normal shock waves. Velocity Upstream of Shock is denoted by V₁ symbol.

How to calculate Flow Velocity Upstream of Shock Wave using Continuity Equation using this online calculator? To use this online calculator for Flow Velocity Upstream of Shock Wave using Continuity Equation, enter 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 Flow Velocity Upstream of Shock Wave using Continuity Equation calculation can be explained with given input values -> 80.82046 = (5.5*79.351)/5.4.

FAQ

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

The Flow velocity upstream of shock wave using continuity equation formula calculates the flow velocity ahead or upstream of the normal shock wave using the continuity equation for the normal shock waves and is represented as V₁ = (ρ₂*V₂)/ρ₁ or Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal 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 Flow Velocity Upstream of Shock Wave using Continuity Equation?

The Flow velocity upstream of shock wave using continuity equation formula calculates the flow velocity ahead or upstream of the normal shock wave using the continuity equation for the normal shock waves is calculated using Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock. To calculate Flow Velocity Upstream of Shock Wave using Continuity Equation, you need 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 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 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 = 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)

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