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Net work output in simple gas turbine cycle Formula

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Net Work Output is defined as the difference of work of turbine and work of compressor. Check FAQs

W Net = C p \cdot ((T 3 - T 4) - (T 2 - T 1))

W_Net - Net Work Output?C_p - Specific Heat Capacity at Constant Pressure?T₃ - Temperature at Inlet of Turbine?T₄ - Temperature at Exit of Turbine?T₂ - Temperature at Exit of Compressor?T₁ - Temperature at Inlet of Compressor?

Net work output in simple gas turbine cycle Example

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Here is how the Net work output in simple gas turbine cycle equation looks like with Values.

Here is how the Net work output in simple gas turbine cycle equation looks like with Units.

Here is how the Net work output in simple gas turbine cycle equation looks like.

57.408 = 1.248 \cdot ((555 - 439) - (370 - 300))

57.408KJ = 1.248kJ/kg*K \cdot ((555K - 439K) - (370K - 300K))

57.408 = 1.248 \cdot ((555 - 439) - (370 - 300))

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Net work output in simple gas turbine cycle Solution

Follow our step by step solution on how to calculate Net work output in simple gas turbine cycle?

FIRST Step Consider the formula

W Net = C p \cdot ((T 3 - T 4) - (T 2 - T 1))

Next Step Substitute values of Variables

∴

W Net = 1.248kJ/kg*K \cdot ((555K - 439K) - (370K - 300K))

Next Step Convert Units

∴

W Net = 1248J/(kg*K) \cdot ((555K - 439K) - (370K - 300K))

Next Step Prepare to Evaluate

∴

W Net = 1248 \cdot ((555 - 439) - (370 - 300))

Next Step Evaluate

∴

W Net = 57408J

LAST Step Convert to Output's Unit

∴

W Net = 57.408KJ

Net work output in simple gas turbine cycle Formula Elements

Variables

Net Work Output

Net Work Output is defined as the difference of work of turbine and work of compressor.

Symbol: W_Net

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Net Work Output

Specific Heat Capacity at Constant Pressure

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.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

Temperature at Inlet of Turbine

The Temperature at Inlet of Turbine is used to measure the amount of heat energy at the entry of the Turbine.

Symbol: T₃

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature at Inlet of Turbine

Temperature at Exit of Turbine

The Temperature at Exit of Turbine is used to measure the amount of heat energy at the exit of the Turbine.

Symbol: T₄

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature at Exit of Turbine

Temperature at Exit of Compressor

The Temperature at Exit of Compressor is used to measure the amount of heat energy at the exit of the compressor.

Symbol: T₂

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature at Exit of Compressor

Temperature at Inlet of Compressor

The Temperature at Inlet of Compressor is used to measure the amount of heat energy at the entry of the compressor.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature at Inlet of Compressor

Other formulas in Efficiency Metrics category

Go Isentropic Efficiency of Expansion Machine

η T = \frac{W actual}{W s,out}

Go Propulsive power

P = \frac{1}{2} \cdot ((m a + m f) \cdot {V e}^{2} - (m a \cdot V^{2}))

Go Thermal Efficiency of Jet Engines given Effective Speed Ratio

η th = \frac{{V e}^{2} \cdot (1 - α^{2})}{2 \cdot f \cdot Q}

Go Transmission Efficiency given Output and Input of Transmission

η transmission = \frac{P out}{P in}

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

Net work output in simple gas turbine cycle evaluator 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 evaluate the Net Work Output, Net work output in simple gas turbine cycle is a measure of the net energy produced by a simple gas turbine cycle, which is a type of heat engine that converts the energy released from burning fuel into mechanical energy. It is an important parameter in evaluating the performance of a gas turbine cycle. Net Work Output is denoted by W_Net symbol.

How to evaluate Net work output in simple gas turbine cycle using this online evaluator? To use this online evaluator for Net work output in simple gas turbine cycle, enter Specific Heat Capacity at Constant Pressure (C_p), 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.

FAQs on Net work output in simple gas turbine cycle

What is the formula to find Net work output in simple gas turbine cycle?

The formula of Net work output in simple gas turbine cycle is expressed as 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)). Here is an example- 0.047424 = 1248*((555-439)-(370-300)).

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

With Specific Heat Capacity at Constant Pressure (C_p), Temperature at Inlet of Turbine (T₃), Temperature at Exit of Turbine (T₄), Temperature at Exit of Compressor (T₂) & Temperature at Inlet of Compressor (T₁) we can find Net work output in simple gas turbine cycle using the 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)).

Can the Net work output in simple gas turbine cycle be negative?

Yes, the Net work output in simple gas turbine cycle, measured in Energy can be negative.

Which unit is used to measure Net work output in simple gas turbine cycle?

Net work output in simple gas turbine cycle is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Net work output in simple gas turbine cycle can be measured.

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Net work output in simple gas turbine cycle Formula

Net work output in simple gas turbine cycle Example

Net work output in simple gas turbine cycle Solution

Net work output in simple gas turbine cycle Formula Elements

Other formulas in Efficiency Metrics category

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

FAQs on Net work output in simple gas turbine cycle

Variable Name