Ideal Exhaust Velocity given Enthalpy Drop Calculator

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Components of Gas Turbine

Jet Propulsion

Rocket Propulsion

Thermodynamics and Governing Equations

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✖Enthalpy drop in nozzle is the difference of enthalpy of inlet and exit of nozzle.ⓘ Enthalpy Drop in Nozzle [Δh_nozzle]

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✖Ideal Exit Velocity is the velocity at the exit of nozzle, it does not includes losses due to external factors.ⓘ Ideal Exhaust Velocity given Enthalpy Drop [C_ideal]

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Formula

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Ideal Exhaust Velocity given Enthalpy Drop

Formula

`"C"_{"ideal"} = sqrt(2*"Δh"_{"nozzle"})`

Example

`"198.9975m/s"=sqrt(2*"19.8KJ")`

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Ideal Exhaust Velocity given Enthalpy Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ideal Exit Velocity = sqrt(2*Enthalpy Drop in Nozzle)
C_ideal = sqrt(2*Δh_nozzle)
This formula uses 1 Functions, 2 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

Ideal Exit Velocity - (Measured in Meter per Second) - Ideal Exit Velocity is the velocity at the exit of nozzle, it does not includes losses due to external factors.
Enthalpy Drop in Nozzle - (Measured in Joule) - Enthalpy drop in nozzle is the difference of enthalpy of inlet and exit of nozzle.

STEP 1: Convert Input(s) to Base Unit

Enthalpy Drop in Nozzle: 19.8 Kilojoule --> 19800 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_ideal = sqrt(2*Δh_nozzle) --> sqrt(2*19800)

Evaluating ... ...

C_ideal = 198.997487421324

STEP 3: Convert Result to Output's Unit

198.997487421324 Meter per Second --> No Conversion Required

FINAL ANSWER

198.997487421324 ≈ 198.9975 Meter per Second <-- Ideal Exit Velocity

(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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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 8 Nozzle Calculators

Reversible Nozzle Jet Velocity

Go Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Nozzle Temperature*(1-(Pressure Ratio)^((Specific Heat Ratio-1)/(Specific Heat Ratio))))

Kinetic Energy of Exhaust Gases

Go Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2

Jet velocity given temperature drop

Go Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Temperature Drop)

Discharge Coefficient given Mass Flow

Go Discharge Coefficient = Actual Mass Flow Rate/Ideal Mass Flow Rate

Discharge Coefficient given Flow Area

Go Discharge Coefficient = Actual Nozzle Flow Area/Nozzle Throat Area

Velocity Coefficient

Go Velocity Coefficient = Actual Exit Velocity/Ideal Exit Velocity

Ideal Exhaust Velocity given Enthalpy Drop

Go Ideal Exit Velocity = sqrt(2*Enthalpy Drop in Nozzle)

Velocity Coefficient given Nozzle Efficiency

Go Velocity Coefficient = sqrt(Nozzle Efficiency)

Ideal Exhaust Velocity given Enthalpy Drop Formula

Ideal Exit Velocity = sqrt(2*Enthalpy Drop in Nozzle)
C_ideal = sqrt(2*Δh_nozzle)

What is enthalpy?

Enthalpy is a property of a thermodynamic system, defined as the sum of the system's internal energy and the product of its pressure and volume.

How to Calculate Ideal Exhaust Velocity given Enthalpy Drop?

Ideal Exhaust Velocity given Enthalpy Drop calculator uses Ideal Exit Velocity = sqrt(2*Enthalpy Drop in Nozzle) to calculate the Ideal Exit Velocity, Ideal Exhaust Velocity given Enthalpy Drop formula is defined as the velocity of gases expanding perfectly in the nozzle. Ideal Exit Velocity is denoted by C_ideal symbol.

How to calculate Ideal Exhaust Velocity given Enthalpy Drop using this online calculator? To use this online calculator for Ideal Exhaust Velocity given Enthalpy Drop, enter Enthalpy Drop in Nozzle (Δh_nozzle) and hit the calculate button. Here is how the Ideal Exhaust Velocity given Enthalpy Drop calculation can be explained with given input values -> 198.9975 = sqrt(2*19800).

FAQ

What is Ideal Exhaust Velocity given Enthalpy Drop?

Ideal Exhaust Velocity given Enthalpy Drop formula is defined as the velocity of gases expanding perfectly in the nozzle and is represented as C_ideal = sqrt(2*Δh_nozzle) or Ideal Exit Velocity = sqrt(2*Enthalpy Drop in Nozzle). Enthalpy drop in nozzle is the difference of enthalpy of inlet and exit of nozzle.

How to calculate Ideal Exhaust Velocity given Enthalpy Drop?

Ideal Exhaust Velocity given Enthalpy Drop formula is defined as the velocity of gases expanding perfectly in the nozzle is calculated using Ideal Exit Velocity = sqrt(2*Enthalpy Drop in Nozzle). To calculate Ideal Exhaust Velocity given Enthalpy Drop, you need Enthalpy Drop in Nozzle (Δh_nozzle). With our tool, you need to enter the respective value for Enthalpy Drop in Nozzle 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 Ideal Exit Velocity?

In this formula, Ideal Exit Velocity uses Enthalpy Drop in Nozzle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Temperature Drop)
Ideal Exit Velocity = sqrt(2*Specific Heat at Constant Pressure*Nozzle Temperature*(1-(Pressure Ratio)^((Specific Heat Ratio-1)/(Specific Heat Ratio))))

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