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Velocity behind Normal Shock from Normal Shock Energy Equation Calculator

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✖Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.ⓘ Enthalpy Ahead of Normal Shock [h1]
+10%
-10%
✖Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.ⓘ Velocity Upstream of Shock [V1]
+10%
-10%
✖Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.ⓘ Enthalpy Behind Normal Shock [h2]
+10%
-10%
✖Velocity Downstream of Shock is the velocity of flow behind the shock wave.ⓘ Velocity behind Normal Shock from Normal Shock Energy Equation [V2]
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Velocity behind Normal Shock from Normal Shock Energy Equation

Formula
`"V"_{"2"} = sqrt(2*("h"_{"1"}+("V"_{"1"}^2)/2-"h"_{"2"}))`

Example
`"79.35525m/s"=sqrt(2*("200.203J/kg"+(("80.134m/s")^2)/2-"262.304J/kg"))`

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Velocity behind Normal Shock from Normal Shock Energy Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock))
V2 = sqrt(2*(h1+(V1^2)/2-h2))
This formula uses 1 Functions, 4 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.
Enthalpy Ahead of Normal Shock - (Measured in Joule per Kilogram) - Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.
Velocity Upstream of Shock - (Measured in Meter per Second) - Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
Enthalpy Behind Normal Shock - (Measured in Joule per Kilogram) - Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.
STEP 1: Convert Input(s) to Base Unit
Enthalpy Ahead of Normal Shock: 200.203 Joule per Kilogram --> 200.203 Joule per Kilogram No Conversion Required
Velocity Upstream of Shock: 80.134 Meter per Second --> 80.134 Meter per Second No Conversion Required
Enthalpy Behind Normal Shock: 262.304 Joule per Kilogram --> 262.304 Joule per Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V2 = sqrt(2*(h1+(V1^2)/2-h2)) --> sqrt(2*(200.203+(80.134^2)/2-262.304))
Evaluating ... ...
V2 = 79.355251596854
STEP 3: Convert Result to Output's Unit
79.355251596854 Meter per Second --> No Conversion Required
FINAL ANSWER
79.355251596854 ≈ 79.35525 Meter per Second <-- Velocity Downstream of Shock
(Calculation completed in 00.020 seconds)
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Home » Physics » Aerodynamics » Compressible Flow » Normal Shock Wave » Downstream Shock Waves » Velocity behind Normal Shock from Normal Shock Energy Equation

Credits

Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
Shikha Maurya has created this Calculator and 100+ more calculators!
Verified by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has verified this Calculator and 100+ more calculators!

15 Downstream Shock Waves Calculators

Stagnation Pressure behind Normal Shock by Rayleigh Pitot Tube formula
Go Stagnation Pressure Behind Normal Shock = Static Pressure Ahead of Normal Shock*((1-Specific Heat Ratio+2*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2)/(Specific Heat Ratio+1))*(((Specific Heat Ratio+1)^2*Mach Number Ahead of Normal Shock^2)/(4*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-2*(Specific Heat Ratio-1)))^((Specific Heat Ratio)/(Specific Heat Ratio-1))
Static Temperature behind Normal Shock for given Upstream Temperature and Mach Number
Go Temperature Behind Normal Shock = Temperature Ahead of Normal Shock*((1+((2*Specific Heat Ratio)/(Specific Heat Ratio+1))*(Mach Number Ahead of Normal Shock^2-1))/((Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2)/(2+(Specific Heat Ratio-1)*Mach Number Ahead of Normal Shock^2)))
Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number
Go Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock*(1+((2*Specific Heat Ratio)/(Specific Heat Ratio+1))*(Mach Number Ahead of Normal Shock^2-1))/((Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2)/(2+(Specific Heat Ratio-1)*Mach Number Ahead of Normal Shock^2))
Mach Number behind Shock
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)
Velocity behind Normal Shock by Normal Shock Momentum Equation
Go 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)
Density behind Normal Shock using Normal Shock Momentum Equation
Go 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)
Static Pressure behind Normal Shock using Normal Shock Momentum Equation
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
Density behind Normal Shock given Upstream Density and Mach Number
Go Density Behind Normal Shock = Density Ahead of Normal Shock*(((Specific Heat Ratio+1)*Mach Number^2)/(2+(Specific Heat Ratio-1)*Mach Number^2))
Static Pressure behind Normal Shock for given Upstream Pressure and Mach Number
Go Static pressure Behind Normal shock = Static Pressure Ahead of Normal Shock*(1+((2*Specific Heat Ratio)/(Specific Heat Ratio+1))*(Mach Number Ahead of Normal Shock^2-1))
Velocity behind Normal Shock from Normal Shock Energy Equation
Go Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock))
Velocity behind Normal Shock
Go Velocity Downstream of Shock = Velocity Upstream of Shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+2/(Mach Number^2)))
Enthalpy behind Normal Shock from Normal Shock Energy Equation
Go Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2
Flow Velocity Downstream of Shock Wave using Continuity Equation
Go Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock
Density Downstream of Shock Wave using Continuity Equation
Go Density Behind Normal Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Velocity Downstream of Shock
Characteristic Mach Number behind Shock
Go Characteristic Mach Number Behind Shock = 1/Characteristic Mach Number Ahead of Shock

Velocity behind Normal Shock from Normal Shock Energy Equation Formula

Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock))
V2 = sqrt(2*(h1+(V1^2)/2-h2))

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 Velocity behind Normal Shock from Normal Shock Energy Equation?

Velocity behind Normal Shock from Normal Shock Energy Equation calculator uses Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock)) to calculate the Velocity Downstream of Shock, The Velocity behind Normal Shock from Normal Shock Energy Equation computes the velocity of a fluid downstream of a normal shock wave using the Normal Shock Energy Equation. This formula incorporates parameters such as the enthalpy ahead and behind the shock and the velocity upstream of the shock. It provides essential insights into the change in velocity resulting from the passage of the shock wave. Velocity Downstream of Shock is denoted by V2 symbol.

How to calculate Velocity behind Normal Shock from Normal Shock Energy Equation using this online calculator? To use this online calculator for Velocity behind Normal Shock from Normal Shock Energy Equation, enter Enthalpy Ahead of Normal Shock (h1), Velocity Upstream of Shock (V1) & Enthalpy Behind Normal Shock (h2) and hit the calculate button. Here is how the Velocity behind Normal Shock from Normal Shock Energy Equation calculation can be explained with given input values -> 144.5711 = sqrt(2*(200.203+(80.134^2)/2-262.304)).

FAQ

What is Velocity behind Normal Shock from Normal Shock Energy Equation?
The Velocity behind Normal Shock from Normal Shock Energy Equation computes the velocity of a fluid downstream of a normal shock wave using the Normal Shock Energy Equation. This formula incorporates parameters such as the enthalpy ahead and behind the shock and the velocity upstream of the shock. It provides essential insights into the change in velocity resulting from the passage of the shock wave and is represented as V2 = sqrt(2*(h1+(V1^2)/2-h2)) or Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock)). Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass, Velocity Upstream of Shock is the velocity of flow ahead of the shock wave & Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.
How to calculate Velocity behind Normal Shock from Normal Shock Energy Equation?
The Velocity behind Normal Shock from Normal Shock Energy Equation computes the velocity of a fluid downstream of a normal shock wave using the Normal Shock Energy Equation. This formula incorporates parameters such as the enthalpy ahead and behind the shock and the velocity upstream of the shock. It provides essential insights into the change in velocity resulting from the passage of the shock wave is calculated using Velocity Downstream of Shock = sqrt(2*(Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2)/2-Enthalpy Behind Normal Shock)). To calculate Velocity behind Normal Shock from Normal Shock Energy Equation, you need Enthalpy Ahead of Normal Shock (h1), Velocity Upstream of Shock (V1) & Enthalpy Behind Normal Shock (h2). With our tool, you need to enter the respective value for Enthalpy Ahead of Normal Shock, Velocity Upstream of Shock & Enthalpy 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 Enthalpy Ahead of Normal Shock, Velocity Upstream of Shock & Enthalpy 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((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)
  • Velocity Downstream of Shock = (Density Ahead of Normal Shock*Velocity Upstream of Shock)/Density Behind Normal Shock
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