Upstream Velocity using Prandtl Relation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock
V1 = (acr^2)/V2
This formula uses 3 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.
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 Downstream of Shock - (Measured in Meter per Second) - Velocity Downstream of Shock is the velocity of flow behind 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 Downstream of Shock: 79.351 Meter per Second --> 79.351 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V1 = (acr^2)/V2 --> (79.741^2)/79.351
Evaluating ... ...
V1 = 80.1329168000403
STEP 3: Convert Result to Output's Unit
80.1329168000403 Meter per Second --> No Conversion Required
FINAL ANSWER
80.1329168000403 80.13292 Meter per Second <-- Velocity Upstream of Shock
(Calculation completed in 00.004 seconds)

Credits

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Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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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

Upstream Velocity using Prandtl Relation Formula

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

What is Prandtl relation?

Prandtl relation is an intermediate relation for normal shocks. It relates the velocity ahead of a shock to the downstream velocity after the shock, which in turn help to obtain downstream Mach number of the flow in terms of upstream Mach number.

How to Calculate Upstream Velocity using Prandtl Relation?

Upstream Velocity using Prandtl Relation calculator uses Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock to calculate the Velocity Upstream of Shock, Upstream Velocity using Prandtl Relation formula is defined as a method to relate the velocities in a compressible flow, particularly across a normal shock wave, helping to analyze changes in flow properties and behavior in aerodynamics. Velocity Upstream of Shock is denoted by V1 symbol.

How to calculate Upstream Velocity using Prandtl Relation using this online calculator? To use this online calculator for Upstream Velocity using Prandtl Relation, enter Critical Speed of Sound (acr) & Velocity Downstream of Shock (V2) and hit the calculate button. Here is how the Upstream Velocity using Prandtl Relation calculation can be explained with given input values -> 80.13292 = (79.741^2)/79.351.

FAQ

What is Upstream Velocity using Prandtl Relation?
Upstream Velocity using Prandtl Relation formula is defined as a method to relate the velocities in a compressible flow, particularly across a normal shock wave, helping to analyze changes in flow properties and behavior in aerodynamics and is represented as V1 = (acr^2)/V2 or Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock. The Critical Speed of Sound is defined as the speed of sound at critical conditions in fluid flow & Velocity Downstream of Shock is the velocity of flow behind the shock wave.
How to calculate Upstream Velocity using Prandtl Relation?
Upstream Velocity using Prandtl Relation formula is defined as a method to relate the velocities in a compressible flow, particularly across a normal shock wave, helping to analyze changes in flow properties and behavior in aerodynamics is calculated using Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock. To calculate Upstream Velocity using Prandtl Relation, you need Critical Speed of Sound (acr) & Velocity Downstream of Shock (V2). With our tool, you need to enter the respective value for Critical Speed of Sound & Velocity Downstream 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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