Cooling Effectiveness Calculator

✖Temperature of Hot Gas Stream is the temperature of the hot gas flowing through the engine.ⓘ Temperature of Hot Gas Stream [T_g]			+10% -10%
✖Temperature of Metal is the amount of heat acting on the metal surface of the turbine blade.ⓘ Temperature of Metal [T_m]			+10% -10%
✖Temperature of Cooling Air is the temperature of the air used for dissipating heat in the system.ⓘ Temperature of Cooling Air [T_c]			+10% -10%

✖Cooling Effectiveness is the efficiency of the engine's cooling system.ⓘ Cooling Effectiveness [ε]

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Cooling Effectiveness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air)
ε = (T_g-T_m)/(T_g-T_c)
This formula uses 4 Variables

Variables Used

Cooling Effectiveness - Cooling Effectiveness is the efficiency of the engine's cooling system.
Temperature of Hot Gas Stream - (Measured in Kelvin) - Temperature of Hot Gas Stream is the temperature of the hot gas flowing through the engine.
Temperature of Metal - (Measured in Kelvin) - Temperature of Metal is the amount of heat acting on the metal surface of the turbine blade.
Temperature of Cooling Air - (Measured in Kelvin) - Temperature of Cooling Air is the temperature of the air used for dissipating heat in the system.

STEP 1: Convert Input(s) to Base Unit

Temperature of Hot Gas Stream: 1400 Kelvin --> 1400 Kelvin No Conversion Required
Temperature of Metal: 900 Kelvin --> 900 Kelvin No Conversion Required
Temperature of Cooling Air: 630 Kelvin --> 630 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = (T_g-T_m)/(T_g-T_c) --> (1400-900)/(1400-630)

Evaluating ... ...

ε = 0.649350649350649

STEP 3: Convert Result to Output's Unit

0.649350649350649 --> No Conversion Required

FINAL ANSWER

0.649350649350649 ≈ 0.649351 <-- Cooling Effectiveness

(Calculation completed in 00.004 seconds)

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Home » Physics » Propulsion » Jet Propulsion » Aerospace » Turbofans » Cooling Effectiveness

Credits

Created by Shreyash

Rajiv Gandhi Institute of Technology (RGIT), Mumbai

Shreyash has created this Calculator and 10+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Turbofans Calculators

Turbofan thrust

LaTeX Go Turbofan Thrust = Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed)+Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed)

Cooling Effectiveness

LaTeX Go Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air)

Total mass flow rate through turbofan engine

LaTeX Go Mass Flow Rate = Mass Flow Rate Core+Mass Flow Rate Bypass

Bypass Ratio

LaTeX Go Bypass Ratio = Mass Flow Rate Bypass/Mass Flow Rate Core

Cooling Effectiveness Formula

LaTeX Go

Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air)
ε = (T_g-T_m)/(T_g-T_c)

Cooling Effectiveness and Contributing Factors

For assessing the performance of blade cooling in a jet engine, cooling effectiveness is an important parameter. It depends on three factors namely: the temperature of the hot gas stream, the temperature of the metal, and the temperature of the cooling air.

Benefits of increasing Cooling Efficiency

Effective cooling in turbine engines allows for an increased gas temperature at the turbine inlet, which improves the system's thermal performance and efficiency.

How to Calculate Cooling Effectiveness?

Cooling Effectiveness calculator uses Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air) to calculate the Cooling Effectiveness, Cooling Effectiveness in simple terms is the efficiency of the engine's cooling system. Increased value of Cooling Effectiveness enables greater firing temperatures, resulting in a net increase in gas turbine power production and efficiency. Cooling Effectiveness is denoted by ε symbol.

How to calculate Cooling Effectiveness using this online calculator? To use this online calculator for Cooling Effectiveness, enter Temperature of Hot Gas Stream (T_g), Temperature of Metal (T_m) & Temperature of Cooling Air (T_c) and hit the calculate button. Here is how the Cooling Effectiveness calculation can be explained with given input values -> 0.649351 = (1400-900)/(1400-630).

FAQ

What is Cooling Effectiveness?

Cooling Effectiveness in simple terms is the efficiency of the engine's cooling system. Increased value of Cooling Effectiveness enables greater firing temperatures, resulting in a net increase in gas turbine power production and efficiency and is represented as ε = (T_g-T_m)/(T_g-T_c) or Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air). Temperature of Hot Gas Stream is the temperature of the hot gas flowing through the engine, Temperature of Metal is the amount of heat acting on the metal surface of the turbine blade & Temperature of Cooling Air is the temperature of the air used for dissipating heat in the system.

How to calculate Cooling Effectiveness?

Cooling Effectiveness in simple terms is the efficiency of the engine's cooling system. Increased value of Cooling Effectiveness enables greater firing temperatures, resulting in a net increase in gas turbine power production and efficiency is calculated using Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air). To calculate Cooling Effectiveness, you need Temperature of Hot Gas Stream (T_g), Temperature of Metal (T_m) & Temperature of Cooling Air (T_c). With our tool, you need to enter the respective value for Temperature of Hot Gas Stream, Temperature of Metal & Temperature of Cooling Air 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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