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Stagnation Velocity of Sound 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 Temperature is defined as the temperature that would exist if the flow were slowed down isentropically to zero velocity.ⓘ Stagnation Temperature [T₀]			+10% -10%

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

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Stagnation Velocity of Sound Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature)
a_o = sqrt(γ*[R]*T₀)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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 Temperature - (Measured in Kelvin) - Stagnation Temperature is defined as the temperature that would exist if the flow were slowed down isentropically to zero velocity.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Stagnation Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_o = sqrt(γ*[R]*T₀) --> sqrt(1.4*[R]*300)

Evaluating ... ...

a_o = 59.0937754727548

STEP 3: Convert Result to Output's Unit

59.0937754727548 Meter per Second --> No Conversion Required

FINAL ANSWER

59.0937754727548 ≈ 59.09378 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 Formula

LaTeX Go

Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature)
a_o = sqrt(γ*[R]*T₀)

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?

Stagnation Velocity of Sound calculator uses Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature) to calculate the Stagnation Velocity of Sound, The Stagnation Velocity of Sound formula is defined as square root of product of adiabatic index, universal gas constant and stagnation temperature. Stagnation Velocity of Sound is denoted by a_o symbol.

How to calculate Stagnation Velocity of Sound using this online calculator? To use this online calculator for Stagnation Velocity of Sound, enter Specific Heat Ratio (γ) & Stagnation Temperature (T₀) and hit the calculate button. Here is how the Stagnation Velocity of Sound calculation can be explained with given input values -> 59.09378 = sqrt(1.4*[R]*300).

FAQ

What is Stagnation Velocity of Sound?

The Stagnation Velocity of Sound formula is defined as square root of product of adiabatic index, universal gas constant and stagnation temperature and is represented as a_o = sqrt(γ*[R]*T₀) or Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature). 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 Temperature is defined as the temperature that would exist if the flow were slowed down isentropically to zero velocity.

How to calculate Stagnation Velocity of Sound?

The Stagnation Velocity of Sound formula is defined as square root of product of adiabatic index, universal gas constant and stagnation temperature is calculated using Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature). To calculate Stagnation Velocity of Sound, you need Specific Heat Ratio (γ) & Stagnation Temperature (T₀). With our tool, you need to enter the respective value for Specific Heat Ratio & Stagnation Temperature 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 Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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