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Upstream Velocity using Prandtl Relation Formula

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Velocity Upstream of Shock is the velocity of flow ahead of the shock wave. Check FAQs

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

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

Upstream Velocity using Prandtl Relation Example

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

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

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

80.1329 = \frac{{79.741}^{2}}{79.351}

80.1329m/s = \frac{{79.741m/s}^{2}}{79.351m/s}

80.1329 = \frac{{79.741}^{2}}{79.351}

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Upstream Velocity using Prandtl Relation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 1 = \frac{{79.741m/s}^{2}}{79.351m/s}

Next Step Prepare to Evaluate

∴

V 1 = \frac{{79.741}^{2}}{79.351}

Next Step Evaluate

∴

V 1 = 80.1329168000403m/s

LAST Step Rounding Answer

∴

V 1 = 80.1329m/s

Upstream Velocity using Prandtl Relation Formula Elements

Variables

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

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

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 Critical Speed of Sound from Prandtl Relation

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

How to Evaluate Upstream Velocity using Prandtl Relation?

Upstream Velocity using Prandtl Relation evaluator uses Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock to evaluate the Velocity Upstream of Shock, The Upstream Velocity using Prandtl Relation computes the velocity of a fluid upstream of a normal shock wave based on the Prandtl relation. This formula utilizes the critical speed of sound and the downstream velocity of the fluid to determine the upstream velocity. It provides insight into the flow conditions upstream of the shock wave, aiding in the analysis of compressible flow phenomena. Velocity Upstream of Shock is denoted by V₁ symbol.

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

FAQs on Upstream Velocity using Prandtl Relation

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

The formula of Upstream Velocity using Prandtl Relation is expressed as Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock. Here is an example- 80.13292 = (79.741^2)/79.351.

How to calculate Upstream Velocity using Prandtl Relation?

With Critical Speed of Sound (a_cr) & Velocity Downstream of Shock (V₂) we can find Upstream Velocity using Prandtl Relation using the formula - Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock.

Can the Upstream Velocity using Prandtl Relation be negative?

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

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

Upstream 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 Upstream Velocity using Prandtl Relation can be measured.

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Upstream Velocity using Prandtl Relation Formula

Upstream Velocity using Prandtl Relation Example

Upstream Velocity using Prandtl Relation Solution

Upstream Velocity using Prandtl Relation Formula Elements

Other formulas in Normal Shock Relations category

How to Evaluate Upstream Velocity using Prandtl Relation?

FAQs on Upstream Velocity using Prandtl Relation

Variable Name