✖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%
✖Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+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 given Specific Heat at Constant Pressure [a_o]

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Formula

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Stagnation Velocity of Sound given Specific Heat at Constant Pressure

Formula

`"a"_{"o"} = sqrt(("γ"-1)*"C"_{"p"}*"T"_{"0"})`

Example

`"347.2751m/s"=sqrt(("1.4"-1)*"1005J/(kg*K)"*"300K")`

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Stagnation Velocity of Sound given Specific Heat at Constant Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)
a_o = sqrt((γ-1)*C_p*T₀)
This formula uses 1 Functions, 4 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.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
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
Specific Heat Capacity at Constant Pressure: 1005 Joule per Kilogram per K --> 1005 Joule per Kilogram per K 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-1)*C_p*T₀) --> sqrt((1.4-1)*1005*300)

Evaluating ... ...

a_o = 347.275107083707

STEP 3: Convert Result to Output's Unit

347.275107083707 Meter per Second --> No Conversion Required

FINAL ANSWER

347.275107083707 ≈ 347.2751 Meter per Second <-- Stagnation Velocity of Sound

(Calculation completed in 00.004 seconds)

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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 = (Specific Heat Ratio/(sqrt(Specific Heat Ratio-1)))*((Specific Heat Ratio+1)/2)^(-((Specific Heat Ratio+1)/(2*Specific Heat 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((Specific Heat 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+(Velocity of Fluid Flow^2)/(2*Specific Heat Capacity at Constant Pressure)

Stagnation Velocity of Sound

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

Heat Capacity Ratio

Go Specific Heat 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 given Specific Heat at Constant Pressure Formula

Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)
a_o = sqrt((γ-1)*C_p*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 given Specific Heat at Constant Pressure?

Stagnation Velocity of Sound given Specific Heat at Constant Pressure calculator uses Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature) to calculate the Stagnation Velocity of Sound, Stagnation Velocity of Sound given specific heat at constant pressure formula is defined as the square root of the product of adiabatic index subtracted by unity, specific heat at constant pressure, and stagnation temperature. Stagnation Velocity of Sound is denoted by a_o symbol.

How to calculate Stagnation Velocity of Sound given Specific Heat at Constant Pressure using this online calculator? To use this online calculator for Stagnation Velocity of Sound given Specific Heat at Constant Pressure, enter Specific Heat Ratio (γ), Specific Heat Capacity at Constant Pressure (C_p) & Stagnation Temperature (T₀) and hit the calculate button. Here is how the Stagnation Velocity of Sound given Specific Heat at Constant Pressure calculation can be explained with given input values -> 347.2751 = sqrt((1.4-1)*1005*300).

FAQ

What is Stagnation Velocity of Sound given Specific Heat at Constant Pressure?

Stagnation Velocity of Sound given specific heat at constant pressure formula is defined as the square root of the product of adiabatic index subtracted by unity, specific heat at constant pressure, and stagnation temperature and is represented as a_o = sqrt((γ-1)*C_p*T₀) or Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Specific Heat Capacity at Constant Pressure*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, Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure & 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 given Specific Heat at Constant Pressure?

Stagnation Velocity of Sound given specific heat at constant pressure formula is defined as the square root of the product of adiabatic index subtracted by unity, specific heat at constant pressure, and stagnation temperature is calculated using Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature). To calculate Stagnation Velocity of Sound given Specific Heat at Constant Pressure, you need Specific Heat Ratio (γ), Specific Heat Capacity at Constant Pressure (C_p) & Stagnation Temperature (T₀). With our tool, you need to enter the respective value for Specific Heat Ratio, Specific Heat Capacity at Constant Pressure & 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, Specific Heat Capacity at Constant Pressure & 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*[R]*Stagnation Temperature)
Stagnation Velocity of Sound = sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy)

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