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Heat Transfer in Fins given Fin Efficiency Formula

GoHeat Dissipation from Fin Insulated at End Tip Formula

GoHeat Dissipation from Fin Losing Heat at End Tip Formula

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Fin Heat Transfer Rate is that extend from an object to increase the rate of heat transfer to or from the environment by increasing convection. Check FAQs

Q fin = U overall \cdot A \cdot η \cdot ΔT

Q_fin - Fin Heat Transfer Rate?U_overall - Overall Heat Transfer Coefficient?A - Area?η - Fin Efficiency?ΔT - Overall Difference in Temperature?

Heat Transfer in Fins given Fin Efficiency Example

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Here is how the Heat Transfer in Fins given Fin Efficiency equation looks like with Values.

Here is how the Heat Transfer in Fins given Fin Efficiency equation looks like with Units.

Here is how the Heat Transfer in Fins given Fin Efficiency equation looks like.

32400 = 6 \cdot 50 \cdot 0.54 \cdot 200

32400W = 6W/m²*K \cdot 50m² \cdot 0.54 \cdot 200K

32400 = 6 \cdot 50 \cdot 0.54 \cdot 200

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Heat Transfer » fx Heat Transfer in Fins given Fin Efficiency

Heat Transfer in Fins given Fin Efficiency Solution

Follow our step by step solution on how to calculate Heat Transfer in Fins given Fin Efficiency?

FIRST Step Consider the formula

Q fin = U overall \cdot A \cdot η \cdot ΔT

Next Step Substitute values of Variables

∴

Q fin = 6W/m²*K \cdot 50m² \cdot 0.54 \cdot 200K

Next Step Prepare to Evaluate

∴

Q fin = 6 \cdot 50 \cdot 0.54 \cdot 200

LAST Step Evaluate

∴

Q fin = 32400W

Heat Transfer in Fins given Fin Efficiency Formula Elements

Variables

Fin Heat Transfer Rate

Fin Heat Transfer Rate is that extend from an object to increase the rate of heat transfer to or from the environment by increasing convection.

Symbol: Q_fin

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Fin Heat Transfer Rate

Overall Heat Transfer Coefficient

The Overall Heat Transfer Coefficient is a measure of the overall ability of a series of conductive and convective barriers to transfer heat.

Symbol: U_overall

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Overall Heat Transfer Coefficient

Area

The area is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Fin Efficiency

Fin Efficiency is defined as the ratio of heat dissipation by the fin to the heat dissipation takes place if the whole surface area of the fin is at the base temperature.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fin Efficiency

Overall Difference in Temperature

Overall difference in temperature is the difference of overall temperature values.

Symbol: ΔT

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Overall Difference in Temperature

Other Formulas to find Fin Heat Transfer Rate

Go Heat Dissipation from Fin Insulated at End Tip

Q fin = (\sqrt{(P fin \cdot h transfer \cdot k fin \cdot A c)}) \cdot (T w - T s) \cdot \tanh ((\sqrt{\frac{P fin \cdot h transfer}{k fin \cdot A c}}) \cdot L fin)

Go Heat Dissipation from Fin Losing Heat at End Tip

Q fin = (\sqrt{P fin \cdot h transfer \cdot k fin \cdot A c}) \cdot (T w - T s) \cdot \frac{(\tanh ((\sqrt{\frac{P fin \cdot h transfer}{k fin \cdot A c}}) \cdot L fin) + \frac{h transfer}{k fin \cdot (\sqrt{P fin \cdot \frac{h transfer}{k fin} \cdot A c})})}{1 + \tanh ((\sqrt{\frac{P fin \cdot h transfer}{k fin \cdot A c}}) \cdot L fin \cdot \frac{h transfer}{k fin \cdot (\sqrt{\frac{P fin \cdot h transfer}{k fin \cdot A c}})})}

Go Heat Dissipation from Infinitely Long Fin

Q fin = ({(P fin \cdot h transfer \cdot k fin \cdot A c)}^{0.5}) \cdot (T w - T s)

Other formulas in Heat Transfer from Extended Surfaces (Fins) category

Go Biot Number using Characteristic Length

Bi = \frac{h transfer \cdot L char}{k fin}

Go Correction Length for Cylindrical Fin with Non-Adiabatic Tip

L cylindrical = L fin + (\frac{d fin}{4})

Go Correction Length for Square Fin with Non-Adiabatic Tip

L sqaure = L fin + (\frac{w fin}{4})

Go Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip

L rectangular = L fin + (\frac{t fin}{2})

How to Evaluate Heat Transfer in Fins given Fin Efficiency?

Heat Transfer in Fins given Fin Efficiency evaluator uses Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature to evaluate the Fin Heat Transfer Rate, The Heat Transfer in Fins given Fin Efficiency formula is defined as the product of the area, temperature difference, fin efficiency & overall heat transfer coefficient. Fin Efficiency is the ratio of the heat transfer to the fin to the heat transfer to an ideal fin. Fin Heat Transfer Rate is denoted by Q_fin symbol.

How to evaluate Heat Transfer in Fins given Fin Efficiency using this online evaluator? To use this online evaluator for Heat Transfer in Fins given Fin Efficiency, enter Overall Heat Transfer Coefficient (U_overall), Area (A), Fin Efficiency (η) & Overall Difference in Temperature (ΔT) and hit the calculate button.

FAQs on Heat Transfer in Fins given Fin Efficiency

What is the formula to find Heat Transfer in Fins given Fin Efficiency?

The formula of Heat Transfer in Fins given Fin Efficiency is expressed as Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature. Here is an example- 32400 = 6*50*0.54*200.

How to calculate Heat Transfer in Fins given Fin Efficiency?

With Overall Heat Transfer Coefficient (U_overall), Area (A), Fin Efficiency (η) & Overall Difference in Temperature (ΔT) we can find Heat Transfer in Fins given Fin Efficiency using the formula - Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature.

What are the other ways to Calculate Fin Heat Transfer Rate?

Here are the different ways to Calculate Fin Heat Transfer Rate-

Fin Heat Transfer Rate=(sqrt((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)))*(Surface Temperature-Surrounding Temperature)*tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin)
Fin Heat Transfer Rate=(sqrt(Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area))*(Surface Temperature-Surrounding Temperature)*((tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt(Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)))))/(1+tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area))))))
Fin Heat Transfer Rate=((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)

Can the Heat Transfer in Fins given Fin Efficiency be negative?

No, the Heat Transfer in Fins given Fin Efficiency, measured in Power cannot be negative.

Which unit is used to measure Heat Transfer in Fins given Fin Efficiency?

Heat Transfer in Fins given Fin Efficiency is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Heat Transfer in Fins given Fin Efficiency can be measured.

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: Unit

Heat Transfer in Fins given Fin Efficiency Formula

​GoHeat Dissipation from Fin Insulated at End Tip Formula

​GoHeat Dissipation from Fin Losing Heat at End Tip Formula

Heat Transfer in Fins given Fin Efficiency Example

Heat Transfer in Fins given Fin Efficiency Solution

Heat Transfer in Fins given Fin Efficiency Formula Elements

Other Formulas to find Fin Heat Transfer Rate

Other formulas in Heat Transfer from Extended Surfaces (Fins) category

How to Evaluate Heat Transfer in Fins given Fin Efficiency?

FAQs on Heat Transfer in Fins given Fin Efficiency

Variable Name

GoHeat Dissipation from Fin Insulated at End Tip Formula

GoHeat Dissipation from Fin Losing Heat at End Tip Formula