Stagnation Velocity of Sound given Stagnation Enthalpy 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 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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Formula

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Stagnation Velocity of Sound given Stagnation Enthalpy

Formula

`"a"_{"o"} = sqrt(("γ"-1)*"h"_{"0"})`

Example

`"346.987m/s"=sqrt(("1.4"-1)*"301kJ/kg")`

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Stagnation Velocity of Sound given Stagnation Enthalpy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Velocity of Sound = sqrt((Heat Capacity 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.
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 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

Heat Capacity 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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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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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

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Go Efficiency of Joule Cycle = Net Work Output/Heat

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Go Pressure Ratio = Final Pressure/Initial Pressure

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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 Stagnation Enthalpy Formula

Stagnation Velocity of Sound = sqrt((Heat Capacity 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((Heat Capacity Ratio-1)*Stagnation Enthalpy) to calculate the Stagnation Velocity of Sound, Stagnation Velocity of Sound given stagnation enthalpy formula is defined as the square root of the product of the adiabatic index subtracted by unity and stagnation enthalpy. 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 Heat Capacity 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 the square root of the product of the adiabatic index subtracted by unity and stagnation enthalpy and is represented as a_o = sqrt((γ-1)*h₀) or Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy). 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 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 the square root of the product of the adiabatic index subtracted by unity and stagnation enthalpy is calculated using Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy). To calculate Stagnation Velocity of Sound given Stagnation Enthalpy, you need Heat Capacity Ratio (γ) & Stagnation Enthalpy (h₀). With our tool, you need to enter the respective value for Heat Capacity 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 Heat Capacity Ratio & Stagnation Enthalpy. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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