Change in Kinetic Energy of Jet Engine Calculator

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✖Mass Flow Rate represents the amount of mass passing through a system per unit of time.ⓘ Mass Flow Rate [m_a]			+10% -10%
✖Fuel Flow Rate refers to the rate at which fuel is supplied or consumed within a system over a specified period.ⓘ Fuel Flow Rate [m_f]			+10% -10%
✖Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a engine.ⓘ Exit Velocity [V_e]			+10% -10%
✖Flight Speed refers to the velocity at which an aircraft moves through the air.ⓘ Flight Speed [V]			+10% -10%

✖Change in Kinetic Energy is the difference between final and initial Kinetic energies.ⓘ Change in Kinetic Energy of Jet Engine [ΔKE]

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Change in Kinetic Energy of Jet Engine

Formula

`"ΔKE" = ((("m"_{"a"}+"m"_{"f"})*"V"_{"e"}^2)-("m"_{"a"}*"V"^2 ))/2`

Example

`"87.03894KJ"=((("3.5kg/s"+"0.0315kg/s")*("248m/s")^2)-("3.5kg/s"*("111m/s")^2 ))/2`

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Change in Kinetic Energy of Jet Engine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2 ))/2
ΔKE = (((m_a+m_f)*V_e^2)-(m_a*V^2 ))/2
This formula uses 5 Variables

Variables Used

Change in Kinetic Energy - (Measured in Joule) - Change in Kinetic Energy is the difference between final and initial Kinetic energies.
Mass Flow Rate - (Measured in Kilogram per Second) - Mass Flow Rate represents the amount of mass passing through a system per unit of time.
Fuel Flow Rate - (Measured in Kilogram per Second) - Fuel Flow Rate refers to the rate at which fuel is supplied or consumed within a system over a specified period.
Exit Velocity - (Measured in Meter per Second) - Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a engine.
Flight Speed - (Measured in Meter per Second) - Flight Speed refers to the velocity at which an aircraft moves through the air.

STEP 1: Convert Input(s) to Base Unit

Mass Flow Rate: 3.5 Kilogram per Second --> 3.5 Kilogram per Second No Conversion Required
Fuel Flow Rate: 0.0315 Kilogram per Second --> 0.0315 Kilogram per Second No Conversion Required
Exit Velocity: 248 Meter per Second --> 248 Meter per Second No Conversion Required
Flight Speed: 111 Meter per Second --> 111 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔKE = (((m_a+m_f)*V_e^2)-(m_a*V^2 ))/2 --> (((3.5+0.0315)*248^2)-(3.5*111^2 ))/2

Evaluating ... ...

ΔKE = 87038.938

STEP 3: Convert Result to Output's Unit

87038.938 Joule -->87.038938 Kilojoule (Check conversion here)

FINAL ANSWER

87.038938 ≈ 87.03894 Kilojoule <-- Change in Kinetic Energy

(Calculation completed in 00.004 seconds)

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Created by Shreyash

Rajiv Gandhi Institute of Technology (RGIT), Mumbai

Shreyash has created this Calculator and 10+ more calculators!

Verified by Akshat Nama

Indian Institute of Information Technology, Design And Manufacturing (IIITDM ), Jabalpur

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< 12 Efficiency Metrics Calculators

Net work output in simple gas turbine cycle

Go Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor))

Change in Kinetic Energy of Jet Engine

Go Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2 ))/2

Propulsive power

Go Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^2))

Thermal Efficiency of Jet Engines given Effective Speed Ratio

Go Thermal Efficiency = (Exit Velocity^2*(1-Effective Speed Ratio^2))/(2*Fuel Air Ratio*Fuel Calorific Value)

Overall Efficiency given Specific Fuel Consumption

Go Overall Efficiency = Flight Speed/(Thrust-Specific Fuel Consumption*Fuel Calorific Value)

Overall Efficiency of Propulsive System

Go Overall Efficiency = Thermal Efficiency*Efficiency of Transmission*Propulsive Efficiency

Propulsive efficiency given aircraft velocity

Go Propulsive Efficiency = (2*Flight Speed)/(Exit Velocity+Flight Speed)

Transmission Efficiency given Output and Input of Transmission

Go Efficiency of Transmission = Transmission Output Power/Transmission Input Power

Propulsive Efficiency given Effective Speed Ratio

Go Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio)

Isentropic Efficiency of Expansion Machine

Go Turbine Efficiency = Actual Work/Isentropic Work Output

Propulsive efficiency

Go Propulsive Efficiency = Thrust Power/Propulsive Power

Effective speed ratio

Go Effective Speed Ratio = Flight Speed/Exit Velocity

Change in Kinetic Energy of Jet Engine Formula

Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2 ))/2
ΔKE = (((m_a+m_f)*V_e^2)-(m_a*V^2 ))/2

What is mass flow rate?

The amount of fluid passing at a given time through a unit area is referred to as the mass flow rate. For jet engines, the mass flow rate for air is typically greater than the fuel to get more energy through combustion.

How to Calculate Change in Kinetic Energy of Jet Engine?

Change in Kinetic Energy of Jet Engine calculator uses Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2 ))/2 to calculate the Change in Kinetic Energy, Change in Kinetic Energy of Jet Engine formula defines the energy difference generated or work produced for a jet engine given the mass flow rates of air and the fuel, the jet velocity, and the engine's forward speed. Change in Kinetic Energy is denoted by ΔKE symbol.

How to calculate Change in Kinetic Energy of Jet Engine using this online calculator? To use this online calculator for Change in Kinetic Energy of Jet Engine, enter Mass Flow Rate (m_a), Fuel Flow Rate (m_f), Exit Velocity (V_e) & Flight Speed (V) and hit the calculate button. Here is how the Change in Kinetic Energy of Jet Engine calculation can be explained with given input values -> 0.087039 = (((3.5+0.0315)*248^2)-(3.5*111^2 ))/2.

FAQ

What is Change in Kinetic Energy of Jet Engine?

Change in Kinetic Energy of Jet Engine formula defines the energy difference generated or work produced for a jet engine given the mass flow rates of air and the fuel, the jet velocity, and the engine's forward speed and is represented as ΔKE = (((m_a+m_f)*V_e^2)-(m_a*V^2 ))/2 or Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2 ))/2. Mass Flow Rate represents the amount of mass passing through a system per unit of time, Fuel Flow Rate refers to the rate at which fuel is supplied or consumed within a system over a specified period, Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a engine & Flight Speed refers to the velocity at which an aircraft moves through the air.

How to calculate Change in Kinetic Energy of Jet Engine?

Change in Kinetic Energy of Jet Engine formula defines the energy difference generated or work produced for a jet engine given the mass flow rates of air and the fuel, the jet velocity, and the engine's forward speed is calculated using Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2 ))/2. To calculate Change in Kinetic Energy of Jet Engine, you need Mass Flow Rate (m_a), Fuel Flow Rate (m_f), Exit Velocity (V_e) & Flight Speed (V). With our tool, you need to enter the respective value for Mass Flow Rate, Fuel Flow Rate, Exit Velocity & Flight Speed 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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