Stagnation Velocity of Sound Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)
ao = 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
ao = sqrt(γ*[R]*T0) --> sqrt(1.4*[R]*298)
Evaluating ... ...
ao = 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)

Credits

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(Heat Capacity 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)
ao = 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 ao 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 ao = 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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