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Stagnation Velocity of Sound given Stagnation Enthalpy Calculator

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✖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.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Stagnation Enthalpy is the total enthalpy of a fluid stream, including both internal energy and flow energy.ⓘ Stagnation Enthalpy [h₀]			+10% -10%

✖Stagnation Velocity of Sound is the speed of sound in a fluid at stagnation conditions.ⓘ Stagnation Velocity of Sound given Stagnation Enthalpy [a_o]

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Stagnation Velocity of Sound given Stagnation Enthalpy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy)
a_o = sqrt((γ-1)*h₀)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Stagnation Velocity of Sound - (Measured in Meter per Second) - Stagnation Velocity of Sound is the speed of sound in a fluid at stagnation conditions.
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.
Stagnation Enthalpy - (Measured in Joule per Kilogram) - Stagnation Enthalpy is the total enthalpy of a fluid stream, including both internal energy and flow energy.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Stagnation Enthalpy: 301 Kilojoule per Kilogram --> 301000 Joule per Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_o = sqrt((γ-1)*h₀) --> sqrt((1.4-1)*301000)

Evaluating ... ...

a_o = 346.987031457949

STEP 3: Convert Result to Output's Unit

346.987031457949 Meter per Second --> No Conversion Required

FINAL ANSWER

346.987031457949 ≈ 346.987 Meter per Second <-- Stagnation Velocity of Sound

(Calculation completed in 00.004 seconds)

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< Thermodynamics and Governing Equations Calculators

Stagnation Velocity of Sound

LaTeX Go Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature)

Heat Capacity Ratio

LaTeX Go Specific Heat Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume

Internal Energy of Perfect Gas at given Temperature

LaTeX Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature

Enthalpy of Ideal Gas at given Temperature

LaTeX Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature

Stagnation Velocity of Sound given Stagnation Enthalpy Formula

LaTeX Go

Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy)
a_o = sqrt((γ-1)*h₀)

What is stagnation velocity of sound?

Stagnation velocity of sound is the speed of sound in a fluid at stagnation conditions. If air flowing at some speed V, with a temperature T and pressure P, the velocity of sound in the air at stagnation condition is stagnation velocity of sound.

How to Calculate Stagnation Velocity of Sound given Stagnation Enthalpy?

Stagnation Velocity of Sound given Stagnation Enthalpy calculator uses Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy) to calculate 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 calculate Stagnation Velocity of Sound given Stagnation Enthalpy using this online calculator? To use this online calculator for Stagnation Velocity of Sound given Stagnation Enthalpy, enter Specific Heat Ratio (γ) & Stagnation Enthalpy (h₀) and hit the calculate button. Here is how the Stagnation Velocity of Sound given Stagnation Enthalpy calculation can be explained with given input values -> 346.987 = sqrt((1.4-1)*301000).

FAQ

What is Stagnation Velocity of Sound given Stagnation Enthalpy?

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 and is represented as a_o = sqrt((γ-1)*h₀) or Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy). 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 & Stagnation Enthalpy is the total enthalpy of a fluid stream, including both internal energy and flow energy.

How to calculate Stagnation Velocity of Sound given Stagnation Enthalpy?

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 is calculated using Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy). To calculate Stagnation Velocity of Sound given Stagnation Enthalpy, you need Specific Heat Ratio (γ) & Stagnation Enthalpy (h₀). With our tool, you need to enter the respective value for Specific Heat Ratio & Stagnation Enthalpy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stagnation Velocity of Sound?

In this formula, Stagnation Velocity of Sound uses Specific Heat Ratio & Stagnation Enthalpy. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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