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Downstream Velocity using Prandtl Relation Formula

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Velocity Downstream of Shock is the velocity of flow behind the shock wave. Check FAQs

V 2 = \frac{{a cr}^{2}}{V 1}

V₂ - Velocity Downstream of Shock?a_cr - Critical Speed of Sound?V₁ - Velocity Upstream of Shock?

Downstream Velocity using Prandtl Relation Example

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Here is how the Downstream Velocity using Prandtl Relation equation looks like with Values.

Here is how the Downstream Velocity using Prandtl Relation equation looks like with Units.

Here is how the Downstream Velocity using Prandtl Relation equation looks like.

79.3499 = \frac{{79.741}^{2}}{80.134}

79.3499m/s = \frac{{79.741m/s}^{2}}{80.134m/s}

79.3499 = \frac{{79.741}^{2}}{80.134}

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Downstream Velocity using Prandtl Relation Solution

Follow our step by step solution on how to calculate Downstream Velocity using Prandtl Relation?

FIRST Step Consider the formula

V 2 = \frac{{a cr}^{2}}{V 1}

Next Step Substitute values of Variables

∴

V 2 = \frac{{79.741m/s}^{2}}{80.134m/s}

Next Step Prepare to Evaluate

∴

V 2 = \frac{{79.741}^{2}}{80.134}

Next Step Evaluate

∴

V 2 = 79.3499273841316m/s

LAST Step Rounding Answer

∴

V 2 = 79.3499m/s

Downstream Velocity using Prandtl Relation Formula Elements

Variables

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.

Formulas to find Velocity Downstream of Shock

Critical Speed of Sound

The Critical Speed of Sound is defined as the speed of sound at critical conditions in fluid flow.

Symbol: a_cr

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Critical Speed of Sound

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.

Formulas to find Velocity Upstream of Shock

Other formulas in Normal Shock Relations category

Go Characteristic Mach Number

M cr = \frac{u f}{a cr}

Go Relation between Mach Number and Characteristic Mach Number

M cr = {(\frac{γ + 1}{γ - 1 + \frac{2}{M^{2}}})}^{0.5}

Go Upstream Velocity using Prandtl Relation

V 1 = \frac{{a cr}^{2}}{V 2}

Go Critical Speed of Sound from Prandtl Relation

a cr = \sqrt{V 2 \cdot V 1}

How to Evaluate Downstream Velocity using Prandtl Relation?

Downstream Velocity using Prandtl Relation evaluator uses Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock to evaluate 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 evaluate Downstream Velocity using Prandtl Relation using this online evaluator? To use this online evaluator for Downstream Velocity using Prandtl Relation, enter Critical Speed of Sound (a_cr) & Velocity Upstream of Shock (V₁) and hit the calculate button.

FAQs on Downstream Velocity using Prandtl Relation

What is the formula to find Downstream Velocity using Prandtl Relation?

The formula of Downstream Velocity using Prandtl Relation is expressed as Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock. Here is an example- 43.8526 = (79.741^2)/80.134.

How to calculate Downstream Velocity using Prandtl Relation?

With Critical Speed of Sound (a_cr) & Velocity Upstream of Shock (V₁) we can find Downstream Velocity using Prandtl Relation using the formula - Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock.

Can the Downstream Velocity using Prandtl Relation be negative?

No, the Downstream Velocity using Prandtl Relation, measured in Speed cannot be negative.

Which unit is used to measure Downstream Velocity using Prandtl Relation?

Downstream Velocity using Prandtl Relation 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 Downstream Velocity using Prandtl Relation can be measured.

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Downstream Velocity using Prandtl Relation Formula

Downstream Velocity using Prandtl Relation Example

Downstream Velocity using Prandtl Relation Solution

Downstream Velocity using Prandtl Relation Formula Elements

Other formulas in Normal Shock Relations category

How to Evaluate Downstream Velocity using Prandtl Relation?

FAQs on Downstream Velocity using Prandtl Relation

Variable Name