Propulsive power Calculator

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Thrust Generation

✖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%

✖Propulsive Power refers to the power generated by a propulsion system.ⓘ Propulsive power [P]

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Formula

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Propulsive power

Formula

`"P" = 1/2*(("m"_{"a"}+"m"_{"f"})*"V"_{"e"}^2-("m"_{"a"}*"V"^2))`

Example

`"87.03894kW"=1/2*(("3.5kg/s"+"0.0315kg/s")*("248m/s")^2-("3.5kg/s"*("111m/s")^2))`

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Propulsive power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^2))
P = 1/2*((m_a+m_f)*V_e^2-(m_a*V^2))
This formula uses 5 Variables

Variables Used

Propulsive Power - (Measured in Watt) - Propulsive Power refers to the power generated by a propulsion system.
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

P = 1/2*((m_a+m_f)*V_e^2-(m_a*V^2)) --> 1/2*((3.5+0.0315)*248^2-(3.5*111^2))

Evaluating ... ...

P = 87038.938

STEP 3: Convert Result to Output's Unit

87038.938 Watt -->87.038938 Kilowatt (Check conversion here)

FINAL ANSWER

87.038938 ≈ 87.03894 Kilowatt <-- Propulsive Power

(Calculation completed in 00.020 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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< 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

Propulsive power Formula

Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^2))
P = 1/2*((m_a+m_f)*V_e^2-(m_a*V^2))

What is propulsion?

Propulsion is the action or process of pushing or pulling to drive an object forward. Propulsion system consists of a source of mechanical power, and a propulsor (means of converting this power into propulsive force).

How to Calculate Propulsive power?

Propulsive power calculator uses Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^2)) to calculate the Propulsive Power, The Propulsive power formula is defined as half of the difference between the product of sum of mass flow rates of fuel, air and square of aircraft jet velocity and the product of mass flow rate of air and square of aircraft forward velocity. Propulsive Power is denoted by P symbol.

How to calculate Propulsive power using this online calculator? To use this online calculator for Propulsive power, 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 Propulsive power calculation can be explained with given input values -> 0.087039 = 1/2*((3.5+0.0315)*248^2-(3.5*111^2)).

FAQ

What is Propulsive power?

The Propulsive power formula is defined as half of the difference between the product of sum of mass flow rates of fuel, air and square of aircraft jet velocity and the product of mass flow rate of air and square of aircraft forward velocity and is represented as P = 1/2*((m_a+m_f)*V_e^2-(m_a*V^2)) or Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^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 Propulsive power?

The Propulsive power formula is defined as half of the difference between the product of sum of mass flow rates of fuel, air and square of aircraft jet velocity and the product of mass flow rate of air and square of aircraft forward velocity is calculated using Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^2)). To calculate Propulsive power, 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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