Downstream Velocity using Prandtl Relation Calculator

✖The Critical Speed of Sound is defined as the speed of sound at critical conditions in fluid flow.ⓘ Critical Speed of Sound [a_cr]			+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.ⓘ Downstream Velocity using Prandtl Relation [V₂]

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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 = (a_cr^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 = (a_cr^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 00.006 seconds)

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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

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< Normal Shock Relations Calculators

Relation between Mach Number and Characteristic Mach Number

LaTeX Go Characteristic Mach Number = ((Specific Heat Ratio+1)/(Specific Heat Ratio-1+2/(Mach Number^2)))^0.5

Downstream Velocity using Prandtl Relation

LaTeX Go Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock

Upstream Velocity using Prandtl Relation

LaTeX Go Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock

Characteristic Mach Number

LaTeX Go Characteristic Mach Number = Fluid Velocity/Critical Speed of Sound

Downstream Velocity using Prandtl Relation Formula

LaTeX Go

Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock
V₂ = (a_cr^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 (a_cr) & 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 = (a_cr^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 (a_cr) & 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.

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