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Stagnation Velocity of Sound given Stagnation Enthalpy Formula

GoStagnation Velocity of Sound Formula

GoStagnation Velocity of Sound given Specific Heat at Constant Pressure Formula

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Stagnation Velocity of Sound is the speed of sound in a fluid at stagnation conditions. Check FAQs

a o = \sqrt{(γ - 1) \cdot h 0}

a_o - Stagnation Velocity of Sound?γ - Specific Heat Ratio?h₀ - Stagnation Enthalpy?

Stagnation Velocity of Sound given Stagnation Enthalpy Example

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Here is how the Stagnation Velocity of Sound given Stagnation Enthalpy equation looks like with Values.

Here is how the Stagnation Velocity of Sound given Stagnation Enthalpy equation looks like with Units.

Here is how the Stagnation Velocity of Sound given Stagnation Enthalpy equation looks like.

346.987 = \sqrt{(1.4 - 1) \cdot 301}

346.987m/s = \sqrt{(1.4 - 1) \cdot 301kJ/kg}

346.987 = \sqrt{(1.4 - 1) \cdot 301}

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Stagnation Velocity of Sound given Stagnation Enthalpy Solution

Follow our step by step solution on how to calculate Stagnation Velocity of Sound given Stagnation Enthalpy?

FIRST Step Consider the formula

a o = \sqrt{(γ - 1) \cdot h 0}

Next Step Substitute values of Variables

∴

a o = \sqrt{(1.4 - 1) \cdot 301kJ/kg}

Next Step Convert Units

∴

a o = \sqrt{(1.4 - 1) \cdot 301000J/kg}

Next Step Prepare to Evaluate

∴

a o = \sqrt{(1.4 - 1) \cdot 301000}

Next Step Evaluate

∴

a o = 346.987031457949m/s

LAST Step Rounding Answer

∴

a o = 346.987m/s

Stagnation Velocity of Sound given Stagnation Enthalpy Formula Elements

Variables

Functions

Stagnation Velocity of Sound

Stagnation Velocity of Sound is the speed of sound in a fluid at stagnation conditions.

Symbol: a_o

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Stagnation Velocity of Sound

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

Stagnation Enthalpy

Stagnation Enthalpy is the total enthalpy of a fluid stream, including both internal energy and flow energy.

Symbol: h₀

Measurement: Specific EnergyUnit: kJ/kg

Note: Value should be greater than 0.

Formulas to find Stagnation Enthalpy

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 to find Stagnation Velocity of Sound

Go Stagnation Velocity of Sound

a o = \sqrt{γ \cdot [R] \cdot T 0}

Go Stagnation Velocity of Sound given Specific Heat at Constant Pressure

a o = \sqrt{(γ - 1) \cdot C p \cdot T 0}

Other formulas in Thermodynamics and Governing Equations category

Go Heat Capacity Ratio

γ = \frac{C p}{C v}

Go Internal Energy of Perfect Gas at given Temperature

U = C v \cdot T

Go Enthalpy of Ideal Gas at given Temperature

h = C p \cdot T

Go Pressure Ratio

P R = \frac{P f}{P i}

How to Evaluate Stagnation Velocity of Sound given Stagnation Enthalpy?

Stagnation Velocity of Sound given Stagnation Enthalpy evaluator uses Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy) to evaluate the Stagnation Velocity of Sound, Stagnation Velocity of Sound given Stagnation Enthalpy formula is defined as a relationship that describes the speed of sound in a fluid based on its stagnation enthalpy, reflecting the thermodynamic properties of the fluid in aerospace applications. Stagnation Velocity of Sound is denoted by a_o symbol.

How to evaluate Stagnation Velocity of Sound given Stagnation Enthalpy using this online evaluator? To use this online evaluator for Stagnation Velocity of Sound given Stagnation Enthalpy, enter Specific Heat Ratio (γ) & Stagnation Enthalpy (h₀) and hit the calculate button.

FAQs on Stagnation Velocity of Sound given Stagnation Enthalpy

What is the formula to find Stagnation Velocity of Sound given Stagnation Enthalpy?

The formula of Stagnation Velocity of Sound given Stagnation Enthalpy is expressed as Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy). Here is an example- 346.987 = sqrt((1.4-1)*301000).

How to calculate Stagnation Velocity of Sound given Stagnation Enthalpy?

With Specific Heat Ratio (γ) & Stagnation Enthalpy (h₀) we can find Stagnation Velocity of Sound given Stagnation Enthalpy using the formula - Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Stagnation Velocity of Sound?

Here are the different ways to Calculate Stagnation Velocity of Sound-

Stagnation Velocity of Sound=sqrt(Specific Heat Ratio*[R]*Stagnation Temperature)
Stagnation Velocity of Sound=sqrt((Specific Heat Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)

Can the Stagnation Velocity of Sound given Stagnation Enthalpy be negative?

Yes, the Stagnation Velocity of Sound given Stagnation Enthalpy, measured in Speed can be negative.

Which unit is used to measure Stagnation Velocity of Sound given Stagnation Enthalpy?

Stagnation Velocity of Sound given Stagnation Enthalpy 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 Stagnation Velocity of Sound given Stagnation Enthalpy can be measured.

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