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)
ao = 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
ao = sqrt((γ-1)*h0) --> sqrt((1.4-1)*301000)
Evaluating ... ...
ao = 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)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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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 given Stagnation Enthalpy Formula

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