Kinetic Energy of Exhaust Gases Calculator

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Components of Gas Turbine

Jet Propulsion

Rocket Propulsion

Thermodynamics and Governing Equations

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✖Ideal Mass Flow Rate is the mass of air going out of the nozzle when no loss is considered.ⓘ Ideal Mass Flow Rate [m_i]			+10% -10%
✖Fuel to Air Ratio is the ratio of the mass of fuel to the mass of air during combustion. It dictates the efficiency of the combustion and the performance of the engine.ⓘ Fuel to Air Ratio [f]			+10% -10%
✖Ideal Exit Velocity is the velocity at the exit of nozzle, it does not includes losses due to external factors.ⓘ Ideal Exit Velocity [C_ideal]			+10% -10%

✖Kinetic Energy of Gas is energy present in the gases flowing out of the nozzle.ⓘ Kinetic Energy of Exhaust Gases [KE]

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Formula

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Kinetic Energy of Exhaust Gases

Formula

`"KE" = 1/2*"m"_{"i"}*(1+"f")*"C"_{"ideal"}^2`

Example

`"99.49751KJ"=1/2*"5kg/s"*(1+"0.005")*("199m/s")^2`

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Kinetic Energy of Exhaust Gases Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2
KE = 1/2*m_i*(1+f)*C_ideal^2
This formula uses 4 Variables

Variables Used

Kinetic Energy of Gas - (Measured in Joule) - Kinetic Energy of Gas is energy present in the gases flowing out of the nozzle.
Ideal Mass Flow Rate - (Measured in Kilogram per Second) - Ideal Mass Flow Rate is the mass of air going out of the nozzle when no loss is considered.
Fuel to Air Ratio - Fuel to Air Ratio is the ratio of the mass of fuel to the mass of air during combustion. It dictates the efficiency of the combustion and the performance of the engine.
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.

STEP 1: Convert Input(s) to Base Unit

Ideal Mass Flow Rate: 5 Kilogram per Second --> 5 Kilogram per Second No Conversion Required
Fuel to Air Ratio: 0.005 --> No Conversion Required
Ideal Exit Velocity: 199 Meter per Second --> 199 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

KE = 1/2*m_i*(1+f)*C_ideal^2 --> 1/2*5*(1+0.005)*199^2

Evaluating ... ...

KE = 99497.5125

STEP 3: Convert Result to Output's Unit

99497.5125 Joule -->99.4975125 Kilojoule (Check conversion here)

FINAL ANSWER

99.4975125 ≈ 99.49751 Kilojoule <-- Kinetic Energy of Gas

(Calculation completed in 00.020 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

< 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)

Kinetic Energy of Exhaust Gases Formula

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

What is kinetic energy?

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

How to Calculate Kinetic Energy of Exhaust Gases?

Kinetic Energy of Exhaust Gases calculator uses Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2 to calculate the Kinetic Energy of Gas, Kinetic Energy of Exhaust Gases formula is defined as the half of the product of the mass flow rate of air, the sum of one, and the fuel-air ratio multiplied by the square of aircraft jet velocity. Kinetic Energy of Gas is denoted by KE symbol.

How to calculate Kinetic Energy of Exhaust Gases using this online calculator? To use this online calculator for Kinetic Energy of Exhaust Gases, enter Ideal Mass Flow Rate (m_i), Fuel to Air Ratio (f) & Ideal Exit Velocity (C_ideal) and hit the calculate button. Here is how the Kinetic Energy of Exhaust Gases calculation can be explained with given input values -> 0.099498 = 1/2*5*(1+0.005)*199^2.

FAQ

What is Kinetic Energy of Exhaust Gases?

Kinetic Energy of Exhaust Gases formula is defined as the half of the product of the mass flow rate of air, the sum of one, and the fuel-air ratio multiplied by the square of aircraft jet velocity and is represented as KE = 1/2*m_i*(1+f)*C_ideal^2 or Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2. Ideal Mass Flow Rate is the mass of air going out of the nozzle when no loss is considered, Fuel to Air Ratio is the ratio of the mass of fuel to the mass of air during combustion. It dictates the efficiency of the combustion and the performance of the engine & Ideal Exit Velocity is the velocity at the exit of nozzle, it does not includes losses due to external factors.

How to calculate Kinetic Energy of Exhaust Gases?

Kinetic Energy of Exhaust Gases formula is defined as the half of the product of the mass flow rate of air, the sum of one, and the fuel-air ratio multiplied by the square of aircraft jet velocity is calculated using Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2. To calculate Kinetic Energy of Exhaust Gases, you need Ideal Mass Flow Rate (m_i), Fuel to Air Ratio (f) & Ideal Exit Velocity (C_ideal). With our tool, you need to enter the respective value for Ideal Mass Flow Rate, Fuel to Air Ratio & Ideal Exit Velocity 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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