Net work output in simple gas turbine cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
WNet = Cp*((T3-T4)-(T2-T1))
This formula uses 6 Variables
Variables Used
Net Work Output - (Measured in Joule) - Net Work Output is defined as the difference of work of turbine and work of compressor.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
Temperature at Inlet of Turbine - (Measured in Kelvin) - The Temperature at Inlet of Turbine is used to measure the amount of heat energy at the entry of the Turbine.
Temperature at Exit of Turbine - (Measured in Kelvin) - The Temperature at Exit of Turbine is used to measure the amount of heat energy at the exit of the Turbine.
Temperature at Exit of Compressor - (Measured in Kelvin) - The Temperature at Exit of Compressor is used to measure the amount of heat energy at the exit of the compressor.
Temperature at Inlet of Compressor - (Measured in Kelvin) - The Temperature at Inlet of Compressor is used to measure the amount of heat energy at the entry of the compressor.
STEP 1: Convert Input(s) to Base Unit
Specific Heat Capacity at Constant Pressure: 1.248 Kilojoule per Kilogram per K --> 1248 Joule per Kilogram per K (Check conversion here)
Temperature at Inlet of Turbine: 555 Kelvin --> 555 Kelvin No Conversion Required
Temperature at Exit of Turbine: 439 Kelvin --> 439 Kelvin No Conversion Required
Temperature at Exit of Compressor: 370 Kelvin --> 370 Kelvin No Conversion Required
Temperature at Inlet of Compressor: 300 Kelvin --> 300 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
WNet = Cp*((T3-T4)-(T2-T1)) --> 1248*((555-439)-(370-300))
Evaluating ... ...
WNet = 57408
STEP 3: Convert Result to Output's Unit
57408 Joule -->57.408 Kilojoule (Check conversion here)
FINAL ANSWER
57.408 Kilojoule <-- Net Work Output
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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National Institute of Technology (NIT), Tiruchirapalli
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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

Net work output in simple gas turbine cycle Formula

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))
WNet = Cp*((T3-T4)-(T2-T1))

What is net work output?

Net work output is defined as the difference of work produced by the system and energy supplied to the system.

How to Calculate Net work output in simple gas turbine cycle?

Net work output in simple gas turbine cycle calculator uses 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)) to calculate the Net Work Output, Net work output in simple gas turbine cycle formula is defined as the product of specific heat at constant volume and the difference between temperature change after expansion in the turbine, and temperature change after compression. Net Work Output is denoted by WNet symbol.

How to calculate Net work output in simple gas turbine cycle using this online calculator? To use this online calculator for Net work output in simple gas turbine cycle, enter Specific Heat Capacity at Constant Pressure (Cp), Temperature at Inlet of Turbine (T3), Temperature at Exit of Turbine (T4), Temperature at Exit of Compressor (T2) & Temperature at Inlet of Compressor (T1) and hit the calculate button. Here is how the Net work output in simple gas turbine cycle calculation can be explained with given input values -> 0.047424 = 1248*((555-439)-(370-300)).

FAQ

What is Net work output in simple gas turbine cycle?
Net work output in simple gas turbine cycle formula is defined as the product of specific heat at constant volume and the difference between temperature change after expansion in the turbine, and temperature change after compression and is represented as WNet = Cp*((T3-T4)-(T2-T1)) or 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)). Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure, The Temperature at Inlet of Turbine is used to measure the amount of heat energy at the entry of the Turbine, The Temperature at Exit of Turbine is used to measure the amount of heat energy at the exit of the Turbine, The Temperature at Exit of Compressor is used to measure the amount of heat energy at the exit of the compressor & The Temperature at Inlet of Compressor is used to measure the amount of heat energy at the entry of the compressor.
How to calculate Net work output in simple gas turbine cycle?
Net work output in simple gas turbine cycle formula is defined as the product of specific heat at constant volume and the difference between temperature change after expansion in the turbine, and temperature change after compression is calculated using 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)). To calculate Net work output in simple gas turbine cycle, you need Specific Heat Capacity at Constant Pressure (Cp), Temperature at Inlet of Turbine (T3), Temperature at Exit of Turbine (T4), Temperature at Exit of Compressor (T2) & Temperature at Inlet of Compressor (T1). With our tool, you need to enter the respective value for 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 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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