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Critical Speed of Sound from Prandtl Relation Formula

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

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

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

Critical Speed of Sound from Prandtl Relation Example

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Here is how the Critical Speed of Sound from Prandtl Relation equation looks like with Values.

Here is how the Critical Speed of Sound from Prandtl Relation equation looks like with Units.

Here is how the Critical Speed of Sound from Prandtl Relation equation looks like.

79.7415 = \sqrt{79.351 \cdot 80.134}

79.7415m/s = \sqrt{79.351m/s \cdot 80.134m/s}

79.7415 = \sqrt{79.351 \cdot 80.134}

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Critical Speed of Sound from Prandtl Relation Solution

Follow our step by step solution on how to calculate Critical Speed of Sound from Prandtl Relation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a cr = \sqrt{79.351m/s \cdot 80.134m/s}

Next Step Prepare to Evaluate

∴

a cr = \sqrt{79.351 \cdot 80.134}

Next Step Evaluate

∴

a cr = 79.7415389492829m/s

LAST Step Rounding Answer

∴

a cr = 79.7415m/s

Critical Speed of Sound from Prandtl Relation Formula Elements

Variables

Functions

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 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

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

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.

Syntax: sqrt(Number)

Other formulas in Normal Shock Relations category

Go Downstream Velocity using Prandtl Relation

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

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}

How to Evaluate Critical Speed of Sound from Prandtl Relation?

Critical Speed of Sound from Prandtl Relation evaluator uses Critical Speed of Sound = sqrt(Velocity Downstream of Shock*Velocity Upstream of Shock) to evaluate the Critical Speed of Sound, Critical speed of sound from Prandtl relation formula is defined as the square root of product of upstream and downstream velocities across the normal shock. Critical Speed of Sound is denoted by a_cr symbol.

How to evaluate Critical Speed of Sound from Prandtl Relation using this online evaluator? To use this online evaluator for Critical Speed of Sound from Prandtl Relation, enter Velocity Downstream of Shock (V₂) & Velocity Upstream of Shock (V₁) and hit the calculate button.

FAQs on Critical Speed of Sound from Prandtl Relation

What is the formula to find Critical Speed of Sound from Prandtl Relation?

The formula of Critical Speed of Sound from Prandtl Relation is expressed as Critical Speed of Sound = sqrt(Velocity Downstream of Shock*Velocity Upstream of Shock). Here is an example- 107.2655 = sqrt(79.351*80.134).

How to calculate Critical Speed of Sound from Prandtl Relation?

With Velocity Downstream of Shock (V₂) & Velocity Upstream of Shock (V₁) we can find Critical Speed of Sound from Prandtl Relation using the formula - Critical Speed of Sound = sqrt(Velocity Downstream of Shock*Velocity Upstream of Shock). This formula also uses Square Root Function function(s).

Can the Critical Speed of Sound from Prandtl Relation be negative?

No, the Critical Speed of Sound from Prandtl Relation, measured in Speed cannot be negative.

Which unit is used to measure Critical Speed of Sound from Prandtl Relation?

Critical Speed of Sound from 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 Critical Speed of Sound from Prandtl Relation can be measured.

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Critical Speed of Sound from Prandtl Relation Formula

Critical Speed of Sound from Prandtl Relation Example

Critical Speed of Sound from Prandtl Relation Solution

Critical Speed of Sound from Prandtl Relation Formula Elements

Other formulas in Normal Shock Relations category

How to Evaluate Critical Speed of Sound from Prandtl Relation?

FAQs on Critical Speed of Sound from Prandtl Relation

Variable Name