Downstream Velocity using Prandtl Relation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock
V2 = (acr^2)/V1
This formula uses 3 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.
Critical Speed of Sound - (Measured in Meter per Second) - The Critical Speed of Sound is defined as the speed of sound at critical conditions in fluid flow.
Velocity Upstream of Shock - (Measured in Meter per Second) - Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
STEP 1: Convert Input(s) to Base Unit
Critical Speed of Sound: 79.741 Meter per Second --> 79.741 Meter per Second No Conversion Required
Velocity Upstream of Shock: 80.134 Meter per Second --> 80.134 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V2 = (acr^2)/V1 --> (79.741^2)/80.134
Evaluating ... ...
V2 = 79.3499273841316
STEP 3: Convert Result to Output's Unit
79.3499273841316 Meter per Second --> No Conversion Required
FINAL ANSWER
79.3499273841316 79.34993 Meter per Second <-- Velocity Downstream of Shock
(Calculation completed in 00.020 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has verified this Calculator and 200+ more calculators!

7 Normal Shock Relations Calculators

Enthalpy Difference using Hugoniot Equation
Go Enthalpy Change = 0.5*(Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock)*((Density Ahead of Normal Shock+Density Behind Normal Shock)/(Density Behind Normal Shock*Density Ahead of Normal Shock))
Relation between Mach Number and Characteristic Mach Number
Go Characteristic Mach Number = ((Specific Heat Ratio+1)/(Specific Heat Ratio-1+2/(Mach Number^2)))^0.5
Critical Speed of Sound from Prandtl Relation
Go Critical Speed of Sound = sqrt(Velocity Downstream of Shock*Velocity Upstream of Shock)
Downstream Velocity using Prandtl Relation
Go Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock
Upstream Velocity using Prandtl Relation
Go Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock
Mach Number given Impact and Static Pressure
Go Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5)
Characteristic Mach Number
Go Characteristic Mach Number = Fluid Velocity/Critical Speed of Sound

Downstream Velocity using Prandtl Relation Formula

Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock
V2 = (acr^2)/V1

Who suggested Prandtl condition?

The Prandtl condition was suggested by the German physicist Ludwig Prandtl to identify possible boundary layer separation points of incompressible flows.

How to Calculate Downstream Velocity using Prandtl Relation?

Downstream Velocity using Prandtl Relation calculator uses Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock to calculate the Velocity Downstream of Shock, Downstream Velocity using Prandtl Relation relates the critical speed of sound with the velocities upstream and downstream of a shock wave. Velocity Downstream of Shock is denoted by V2 symbol.

How to calculate Downstream Velocity using Prandtl Relation using this online calculator? To use this online calculator for Downstream Velocity using Prandtl Relation, enter Critical Speed of Sound (acr) & Velocity Upstream of Shock (V1) and hit the calculate button. Here is how the Downstream Velocity using Prandtl Relation calculation can be explained with given input values -> 43.8526 = (79.741^2)/80.134.

FAQ

What is Downstream Velocity using Prandtl Relation?
Downstream Velocity using Prandtl Relation relates the critical speed of sound with the velocities upstream and downstream of a shock wave and is represented as V2 = (acr^2)/V1 or Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock. The Critical Speed of Sound is defined as the speed of sound at critical conditions in fluid flow & Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
How to calculate Downstream Velocity using Prandtl Relation?
Downstream Velocity using Prandtl Relation relates the critical speed of sound with the velocities upstream and downstream of a shock wave is calculated using Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock. To calculate Downstream Velocity using Prandtl Relation, you need Critical Speed of Sound (acr) & Velocity Upstream of Shock (V1). With our tool, you need to enter the respective value for Critical Speed of Sound & Velocity Upstream of Shock and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!