Turbine Work in Gas Turbine given Temperature Calculator

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Components of Gas Turbine

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Thermodynamics and Governing Equations

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✖Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant.ⓘ Specific heat at constant pressure [C_p]			+10% -10%
✖Turbine Inlet Temperature refers to the temperature of the fluid entering a turbine, such as the hot gases from combustion in a gas turbine engine.ⓘ Turbine Inlet Temperature [T₃]			+10% -10%
✖Turbine Exit Temperature is the flow temperature after expanding through the turbine.ⓘ Turbine Exit Temperature [T₄]			+10% -10%

✖Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy.ⓘ Turbine Work in Gas Turbine given Temperature [W_T]

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Formula

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Turbine Work in Gas Turbine given Temperature

Formula

`"W"_{"T"} = "C"_{"p"}*("T"_{"3"}-"T"_{"4"})`

Example

`"873.6KJ"="1.248kJ/kg*K"*("1300K"-"600K")`

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Turbine Work in Gas Turbine given Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature)
W_T = C_p*(T₃-T₄)
This formula uses 4 Variables

Variables Used

Turbine Work - (Measured in Joule) - Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy.
Specific heat at constant pressure - (Measured in Joule per Kilogram per K) - Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant.
Turbine Inlet Temperature - (Measured in Kelvin) - Turbine Inlet Temperature refers to the temperature of the fluid entering a turbine, such as the hot gases from combustion in a gas turbine engine.
Turbine Exit Temperature - (Measured in Kelvin) - Turbine Exit Temperature is the flow temperature after expanding through the turbine.

STEP 1: Convert Input(s) to Base Unit

Specific heat at constant pressure: 1.248 Kilojoule per Kilogram per K --> 1248 Joule per Kilogram per K (Check conversion here)
Turbine Inlet Temperature: 1300 Kelvin --> 1300 Kelvin No Conversion Required
Turbine Exit Temperature: 600 Kelvin --> 600 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_T = C_p*(T₃-T₄) --> 1248*(1300-600)

Evaluating ... ...

W_T = 873600

STEP 3: Convert Result to Output's Unit

873600 Joule -->873.6 Kilojoule (Check conversion here)

FINAL ANSWER

873.6 Kilojoule <-- Turbine Work

(Calculation completed in 00.004 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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< 6 Turbine Calculators

Ideal Turbine Work given Pressure Ratio

Go Turbine Work = Specific heat at constant pressure*Turbine Inlet Temperature*((Turbine Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)/(Turbine Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)))

Efficiency of turbine in actual gas turbine cycle

Go Efficiency of Turbine = (Turbine Inlet Temperature-Turbine Exit Temperature)/(Turbine Inlet Temperature-Isentropic Turbine Exit Temperature)

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy

Go Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy)

Turbine Work in Gas Turbine given Temperature

Go Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature)

Degree of Reaction for Turbine

Go Degree of Reaction = (Enthalpy Drop in Rotor)/(Enthalpy Drop in Stage)

Turbine Work given Enthalpy

Go Turbine Work = Turbine Inlet Enthalpy-Turbine Exit Enthalpy

Turbine Work in Gas Turbine given Temperature Formula

Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature)
W_T = C_p*(T₃-T₄)

What is work done?

Work done is a process, where energy given as input to the system is utilized to perform some useful work.

How to Calculate Turbine Work in Gas Turbine given Temperature?

Turbine Work in Gas Turbine given Temperature calculator uses Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature) to calculate the Turbine Work, Turbine Work in Gas Turbine given Temperature formula is defined as the product of specific heat at constant pressure and difference of temperatures at inlet and exit of turbine. Turbine Work is denoted by W_T symbol.

How to calculate Turbine Work in Gas Turbine given Temperature using this online calculator? To use this online calculator for Turbine Work in Gas Turbine given Temperature, enter Specific heat at constant pressure (C_p), Turbine Inlet Temperature (T₃) & Turbine Exit Temperature (T₄) and hit the calculate button. Here is how the Turbine Work in Gas Turbine given Temperature calculation can be explained with given input values -> 0.8736 = 1248*(1300-600).

FAQ

What is Turbine Work in Gas Turbine given Temperature?

Turbine Work in Gas Turbine given Temperature formula is defined as the product of specific heat at constant pressure and difference of temperatures at inlet and exit of turbine and is represented as W_T = C_p*(T₃-T₄) or Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature). Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant, Turbine Inlet Temperature refers to the temperature of the fluid entering a turbine, such as the hot gases from combustion in a gas turbine engine & Turbine Exit Temperature is the flow temperature after expanding through the turbine.

How to calculate Turbine Work in Gas Turbine given Temperature?

Turbine Work in Gas Turbine given Temperature formula is defined as the product of specific heat at constant pressure and difference of temperatures at inlet and exit of turbine is calculated using Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature). To calculate Turbine Work in Gas Turbine given Temperature, you need Specific heat at constant pressure (C_p), Turbine Inlet Temperature (T₃) & Turbine Exit Temperature (T₄). With our tool, you need to enter the respective value for Specific heat at constant pressure, Turbine Inlet Temperature & Turbine Exit Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Turbine Work?

In this formula, Turbine Work uses Specific heat at constant pressure, Turbine Inlet Temperature & Turbine Exit Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

Turbine Work = Specific heat at constant pressure*Turbine Inlet Temperature*((Turbine Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)/(Turbine Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)))
Turbine Work = Turbine Inlet Enthalpy-Turbine Exit Enthalpy

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