Stagnation enthalpy Calculator

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✖Enthalpy is the amount of heat energy per unit mass of a substance.ⓘ Enthalpy [h]			+10% -10%
✖Velocity of Fluid Flow is the distance travelled by a fluid per time.ⓘ Velocity of Fluid Flow [U_fluid]			+10% -10%

✖Stagnation Enthalpy is the total enthalpy of a fluid stream, including both internal energy and flow energy.ⓘ Stagnation enthalpy [h₀]

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Formula

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Stagnation enthalpy

Formula

`"h"_{"0"} = "h"+("U"_{"fluid"}^2)/2`

Example

`"301.0125kJ/kg"="300kJ/kg"+(("45m/s")^2)/2`

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Stagnation enthalpy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2
h₀ = h+(U_fluid^2)/2
This formula uses 3 Variables

Variables Used

Stagnation Enthalpy - (Measured in Joule per Kilogram) - Stagnation Enthalpy is the total enthalpy of a fluid stream, including both internal energy and flow energy.
Enthalpy - (Measured in Joule per Kilogram) - Enthalpy is the amount of heat energy per unit mass of a substance.
Velocity of Fluid Flow - (Measured in Meter per Second) - Velocity of Fluid Flow is the distance travelled by a fluid per time.

STEP 1: Convert Input(s) to Base Unit

Enthalpy: 300 Kilojoule per Kilogram --> 300000 Joule per Kilogram (Check conversion here)
Velocity of Fluid Flow: 45 Meter per Second --> 45 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h₀ = h+(U_fluid^2)/2 --> 300000+(45^2)/2

Evaluating ... ...

h₀ = 301012.5

STEP 3: Convert Result to Output's Unit

301012.5 Joule per Kilogram -->301.0125 Kilojoule per Kilogram (Check conversion here)

FINAL ANSWER

301.0125 Kilojoule per Kilogram <-- Stagnation Enthalpy

(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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Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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

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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 enthalpy Formula

Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2
h₀ = h+(U_fluid^2)/2

What is stagnation enthalpy?

Stagnation enthalpy is the enthalpy which a gas stream of certain enthalpy and velocity would possess when brought to rest adiabatically and without work transfer.

How to Calculate Stagnation enthalpy?

Stagnation enthalpy calculator uses Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2 to calculate the Stagnation Enthalpy, The Stagnation enthalpy formula is defined as the sum of enthalpy of fluid stream and half of the square of fluid velocity. Stagnation Enthalpy is denoted by h₀ symbol.

How to calculate Stagnation enthalpy using this online calculator? To use this online calculator for Stagnation enthalpy, enter Enthalpy (h) & Velocity of Fluid Flow (U_fluid) and hit the calculate button. Here is how the Stagnation enthalpy calculation can be explained with given input values -> 0.301012 = 300000+(45^2)/2.

FAQ

What is Stagnation enthalpy?

The Stagnation enthalpy formula is defined as the sum of enthalpy of fluid stream and half of the square of fluid velocity and is represented as h₀ = h+(U_fluid^2)/2 or Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2. Enthalpy is the amount of heat energy per unit mass of a substance & Velocity of Fluid Flow is the distance travelled by a fluid per time.

How to calculate Stagnation enthalpy?

The Stagnation enthalpy formula is defined as the sum of enthalpy of fluid stream and half of the square of fluid velocity is calculated using Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2. To calculate Stagnation enthalpy, you need Enthalpy (h) & Velocity of Fluid Flow (U_fluid). With our tool, you need to enter the respective value for Enthalpy & Velocity of Fluid Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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