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Cooling Effectiveness Formula

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Cooling Effectiveness is the efficiency of the engine's cooling system. Check FAQs

ε = \frac{T g - T m}{T g - T c}

ε - Cooling Effectiveness?T_g - Temperature of Hot Gas Stream?T_m - Temperature of Metal?T_c - Temperature of Cooling Air?

Cooling Effectiveness Example

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With units

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Here is how the Cooling Effectiveness equation looks like with Values.

Here is how the Cooling Effectiveness equation looks like with Units.

Here is how the Cooling Effectiveness equation looks like.

0.6494 = \frac{1400 - 900}{1400 - 630}

0.6494 = \frac{1400K - 900K}{1400K - 630K}

0.6494 = \frac{1400 - 900}{1400 - 630}

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Cooling Effectiveness Solution

Follow our step by step solution on how to calculate Cooling Effectiveness?

FIRST Step Consider the formula

ε = \frac{T g - T m}{T g - T c}

Next Step Substitute values of Variables

∴

ε = \frac{1400K - 900K}{1400K - 630K}

Next Step Prepare to Evaluate

∴

ε = \frac{1400 - 900}{1400 - 630}

Next Step Evaluate

∴

ε = 0.649350649350649

LAST Step Rounding Answer

∴

ε = 0.6494

Cooling Effectiveness Formula Elements

Variables

Cooling Effectiveness

Cooling Effectiveness is the efficiency of the engine's cooling system.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Cooling Effectiveness

Temperature of Hot Gas Stream

Temperature of Hot Gas Stream is the temperature of the hot gas flowing through the engine.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Hot Gas Stream

Temperature of Metal

Temperature of Metal is the amount of heat acting on the metal surface of the turbine blade.

Symbol: T_m

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Metal

Temperature of Cooling Air

Temperature of Cooling Air is the temperature of the air used for dissipating heat in the system.

Symbol: T_c

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Cooling Air

Other formulas in Turbofans category

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Go Core Exhaust Velocity given Turbofan Thrust

V j,c = \frac{T - ṁ b \cdot (V j,b - V)}{m c} + V

How to Evaluate Cooling Effectiveness?

Cooling Effectiveness evaluator uses Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air) to evaluate 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 evaluate Cooling Effectiveness using this online evaluator? To use this online evaluator 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.

FAQs on Cooling Effectiveness

What is the formula to find Cooling Effectiveness?

The formula of Cooling Effectiveness is expressed as Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air). Here is an example- 0.649351 = (1400-900)/(1400-630).

How to calculate Cooling Effectiveness?

With Temperature of Hot Gas Stream (T_g), Temperature of Metal (T_m) & Temperature of Cooling Air (T_c) we can find Cooling Effectiveness using the formula - Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air).

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Cooling Effectiveness Formula

Cooling Effectiveness Example

Cooling Effectiveness Solution

Cooling Effectiveness Formula Elements

Other formulas in Turbofans category

How to Evaluate Cooling Effectiveness?

FAQs on Cooling Effectiveness

Variable Name