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Flow Velocity Upstream of Sound Wave Formula

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Flow Velocity Upstream of Sound represents the velocity of a fluid flow or airflow before being influenced by a sound wave. Check FAQs

u 1 = \sqrt{2 \cdot (\frac{{a 2}^{2} - {a 1}^{2}}{γ - 1} + \frac{{u 2}^{2}}{2})}

u₁ - Flow Velocity Upstream of Sound?a₂ - Sound Speed Downstream?a₁ - Sound Speed Upstream?γ - Specific Heat Ratio?u₂ - Flow Velocity Downstream of Sound?

Flow Velocity Upstream of Sound Wave Example

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Here is how the Flow Velocity Upstream of Sound Wave equation looks like with Values.

Here is how the Flow Velocity Upstream of Sound Wave equation looks like with Units.

Here is how the Flow Velocity Upstream of Sound Wave equation looks like.

79.9566 = \sqrt{2 \cdot (\frac{{31.9}^{2} - 12^{2}}{1.4 - 1} + \frac{45^{2}}{2})}

79.9566m/s = \sqrt{2 \cdot (\frac{{31.9m/s}^{2} - {12m/s}^{2}}{1.4 - 1} + \frac{{45m/s}^{2}}{2})}

79.9566 = \sqrt{2 \cdot (\frac{{31.9}^{2} - 12^{2}}{1.4 - 1} + \frac{45^{2}}{2})}

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Flow Velocity Upstream of Sound Wave Solution

Follow our step by step solution on how to calculate Flow Velocity Upstream of Sound Wave?

FIRST Step Consider the formula

u 1 = \sqrt{2 \cdot (\frac{{a 2}^{2} - {a 1}^{2}}{γ - 1} + \frac{{u 2}^{2}}{2})}

Next Step Substitute values of Variables

∴

u 1 = \sqrt{2 \cdot (\frac{{31.9m/s}^{2} - {12m/s}^{2}}{1.4 - 1} + \frac{{45m/s}^{2}}{2})}

Next Step Prepare to Evaluate

∴

u 1 = \sqrt{2 \cdot (\frac{{31.9}^{2} - 12^{2}}{1.4 - 1} + \frac{45^{2}}{2})}

Next Step Evaluate

∴

u 1 = 79.9565507009901m/s

LAST Step Rounding Answer

∴

u 1 = 79.9566m/s

Flow Velocity Upstream of Sound Wave Formula Elements

Variables

Functions

Flow Velocity Upstream of Sound

Flow Velocity Upstream of Sound represents the velocity of a fluid flow or airflow before being influenced by a sound wave.

Symbol: u₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity Upstream of Sound

Sound Speed Downstream

Sound Speed Downstream refers to the speed of sound in a medium after passing through a sound wave or disturbance.

Symbol: a₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Sound Speed Downstream

Sound Speed Upstream

Sound Speed Upstream refers to the speed of sound in a medium before passing through a sound wave.

Symbol: a₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Sound Speed Upstream

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Heat Ratio

Flow Velocity Downstream of Sound

Flow Velocity Downstream of Sound represents the velocity of a fluid flow or airflow after being influenced by a sound wave.

Symbol: u₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flow Velocity Downstream of Sound

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 Governing Equations and Sound Wave category

Go Speed of Sound

a = \sqrt{γ \cdot [R-Dry-Air] \cdot T s}

Go Mach Number

M = \frac{V b}{a}

Go Mach Angle

μ = a \sin (\frac{1}{M})

Go Mayer's Formula

R = C p - C v

How to Evaluate Flow Velocity Upstream of Sound Wave?

Flow Velocity Upstream of Sound Wave evaluator uses Flow Velocity Upstream of Sound = sqrt(2*((Sound Speed Downstream^2-Sound Speed Upstream^2)/(Specific Heat Ratio-1)+Flow Velocity Downstream of Sound^2/2)) to evaluate the Flow Velocity Upstream of Sound, Flow Velocity Upstream of Sound Wave formula is defined as a relationship that describes the speed of fluid flow before a sound wave, considering changes in specific energy and velocity across different states in compressible flow dynamics. Flow Velocity Upstream of Sound is denoted by u₁ symbol.

How to evaluate Flow Velocity Upstream of Sound Wave using this online evaluator? To use this online evaluator for Flow Velocity Upstream of Sound Wave, enter Sound Speed Downstream (a₂), Sound Speed Upstream (a₁), Specific Heat Ratio (γ) & Flow Velocity Downstream of Sound (u₂) and hit the calculate button.

FAQs on Flow Velocity Upstream of Sound Wave

What is the formula to find Flow Velocity Upstream of Sound Wave?

The formula of Flow Velocity Upstream of Sound Wave is expressed as Flow Velocity Upstream of Sound = sqrt(2*((Sound Speed Downstream^2-Sound Speed Upstream^2)/(Specific Heat Ratio-1)+Flow Velocity Downstream of Sound^2/2)). Here is an example- 76.19055 = sqrt(2*((31.9^2-12^2)/(1.4-1)+45^2/2)).

How to calculate Flow Velocity Upstream of Sound Wave?

With Sound Speed Downstream (a₂), Sound Speed Upstream (a₁), Specific Heat Ratio (γ) & Flow Velocity Downstream of Sound (u₂) we can find Flow Velocity Upstream of Sound Wave using the formula - Flow Velocity Upstream of Sound = sqrt(2*((Sound Speed Downstream^2-Sound Speed Upstream^2)/(Specific Heat Ratio-1)+Flow Velocity Downstream of Sound^2/2)). This formula also uses Square Root (sqrt) function(s).

Can the Flow Velocity Upstream of Sound Wave be negative?

Yes, the Flow Velocity Upstream of Sound Wave, measured in Speed can be negative.

Which unit is used to measure Flow Velocity Upstream of Sound Wave?

Flow Velocity Upstream of Sound Wave 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 Flow Velocity Upstream of Sound Wave can be measured.

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Flow Velocity Upstream of Sound Wave Formula

Flow Velocity Upstream of Sound Wave Example

Flow Velocity Upstream of Sound Wave Solution

Flow Velocity Upstream of Sound Wave Formula Elements

Other formulas in Governing Equations and Sound Wave category

How to Evaluate Flow Velocity Upstream of Sound Wave?

FAQs on Flow Velocity Upstream of Sound Wave

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