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Velocity Upstream of Shock is the velocity of flow ahead of the shock wave. Check FAQs
V1=ρ2V2ρ1
V1 - Velocity Upstream of Shock?ρ2 - Density Behind Normal Shock?V2 - Velocity Downstream of Shock?ρ1 - Density Ahead of Normal Shock?

Flow Velocity Upstream of Shock Wave using Continuity Equation Example

With values
With units
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Here is how the Flow Velocity Upstream of Shock Wave using Continuity Equation equation looks like with Values.

Here is how the Flow Velocity Upstream of Shock Wave using Continuity Equation equation looks like with Units.

Here is how the Flow Velocity Upstream of Shock Wave using Continuity Equation equation looks like.

80.8205Edit=5.5Edit79.351Edit5.4Edit
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Flow Velocity Upstream of Shock Wave using Continuity Equation Solution

Follow our step by step solution on how to calculate Flow Velocity Upstream of Shock Wave using Continuity Equation?

FIRST Step Consider the formula
V1=ρ2V2ρ1
Next Step Substitute values of Variables
V1=5.5kg/m³79.351m/s5.4kg/m³
Next Step Prepare to Evaluate
V1=5.579.3515.4
Next Step Evaluate
V1=80.820462962963m/s
LAST Step Rounding Answer
V1=80.8205m/s

Flow Velocity Upstream of Shock Wave using Continuity Equation Formula Elements

Variables
Velocity Upstream of Shock
Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
Symbol: V1
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Density Behind Normal Shock
Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.
Symbol: ρ2
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.
Velocity Downstream of Shock
Velocity Downstream of Shock is the velocity of flow behind the shock wave.
Symbol: V2
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Density Ahead of Normal Shock
Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave.
Symbol: ρ1
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.

Other Formulas to find Velocity Upstream of Shock

​Go Velocity ahead of Normal Shock from Normal Shock Energy Equation
V1=2(h2+V222-h1)
​Go Velocity ahead of Normal Shock by Normal Shock Momentum Equation
V1=P2-P1+ρ2V22ρ1

Other formulas in Upstream Shock Waves category

​Go Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation
P1=P2+ρ2V22-ρ1V12
​Go Density ahead of Normal Shock using Normal Shock Momentum Equation
ρ1=P2+ρ2V22-P1V12
​Go Enthalpy ahead of Normal Shock from Normal Shock Energy Equation
h1=h2+V22-V122
​Go Density Upstream of Shock Wave using Continuity Equation
ρ1=ρ2V2V1

How to Evaluate Flow Velocity Upstream of Shock Wave using Continuity Equation?

Flow Velocity Upstream of Shock Wave using Continuity Equation evaluator uses Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock to evaluate 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 evaluate Flow Velocity Upstream of Shock Wave using Continuity Equation using this online evaluator? To use this online evaluator for Flow Velocity Upstream of Shock Wave using Continuity Equation, enter Density Behind Normal Shock 2), Velocity Downstream of Shock (V2) & Density Ahead of Normal Shock 1) and hit the calculate button.

FAQs on Flow Velocity Upstream of Shock Wave using Continuity Equation

What is the formula to find Flow Velocity Upstream of Shock Wave using Continuity Equation?
The formula of Flow Velocity Upstream of Shock Wave using Continuity Equation is expressed as Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock. Here is an example- 80.82046 = (5.5*79.351)/5.4.
How to calculate Flow Velocity Upstream of Shock Wave using Continuity Equation?
With Density Behind Normal Shock 2), Velocity Downstream of Shock (V2) & Density Ahead of Normal Shock 1) we can find Flow Velocity Upstream of Shock Wave using Continuity Equation using the formula - Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock.
What are the other ways to Calculate Velocity Upstream of Shock?
Here are the different ways to Calculate Velocity Upstream of Shock-
  • Velocity Upstream of Shock=sqrt(2*(Enthalpy Behind Normal Shock+(Velocity Downstream of Shock^2)/2-Enthalpy Ahead of Normal Shock))OpenImg
  • 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)OpenImg
Can the Flow Velocity Upstream of Shock Wave using Continuity Equation be negative?
No, the Flow Velocity Upstream of Shock Wave using Continuity Equation, measured in Speed cannot be negative.
Which unit is used to measure Flow Velocity Upstream of Shock Wave using Continuity Equation?
Flow Velocity Upstream of Shock Wave using Continuity Equation is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Flow Velocity Upstream of Shock Wave using Continuity Equation can be measured.
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