Stagnation Velocity of Sound Calculator

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✖Heat Capacity Ratio is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv) for a given substance.ⓘ Heat Capacity 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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Formula

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Stagnation Velocity of Sound

Formula

`"a"_{"o"} = sqrt("γ"*"[R]"*"T"_{"0"})`

Example

`"58.89647m/s"=sqrt("1.4"*"[R]"*"298K")`

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Stagnation Velocity of Sound Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Velocity of Sound = sqrt(Heat Capacity 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.
Heat Capacity Ratio - Heat Capacity Ratio is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv) for a given substance.
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

Heat Capacity Ratio: 1.4 --> No Conversion Required
Stagnation Temperature: 298 Kelvin --> 298 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_o = sqrt(γ*[R]*T₀) --> sqrt(1.4*[R]*298)

Evaluating ... ...

a_o = 58.8964668235161

STEP 3: Convert Result to Output's Unit

58.8964668235161 Meter per Second --> No Conversion Required

FINAL ANSWER

58.8964668235161 ≈ 58.89647 Meter per Second <-- Stagnation Velocity of Sound

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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National Institute of Technology (NIT), Tiruchirapalli

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< 19 Thermodynamics and Governing Equations Calculators

Max work output in Brayton cycle

Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2

Choked Mass Flow Rate given specific heat ratio

Go Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))

Choked Mass Flow Rate

Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

Stagnation Velocity of Sound given Specific Heat at Constant Pressure

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

Specific Heat of mixed out gas

Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)

Stagnation Temperature

Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)

Stagnation Velocity of Sound

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

Speed of Sound

Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Stagnation Velocity of Sound given Stagnation Enthalpy

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)

Heat Capacity Ratio

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

Efficiency of cycle

Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat

Internal Energy of Perfect Gas at given Temperature

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

Enthalpy of Ideal Gas at given Temperature

Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature

Stagnation enthalpy

Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2

Efficiency of Joule cycle

Go Efficiency of Joule Cycle = Net Work Output/Heat

Pressure Ratio

Go Pressure Ratio = Final Pressure/Initial Pressure

Work ratio in practical cycle

Go Work Ratio = 1-(Compressor Work/Turbine Work)

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Stagnation Velocity of Sound Formula

Stagnation Velocity of Sound = sqrt(Heat Capacity 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(Heat Capacity 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 Heat Capacity 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 -> 58.89647 = sqrt(1.4*[R]*298).

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(Heat Capacity Ratio*[R]*Stagnation Temperature). Heat Capacity Ratio is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv) for a given substance & 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(Heat Capacity Ratio*[R]*Stagnation Temperature). To calculate Stagnation Velocity of Sound, you need Heat Capacity Ratio (γ) & Stagnation Temperature (T₀). With our tool, you need to enter the respective value for Heat Capacity 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 Heat Capacity Ratio & Stagnation Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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