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Heat Dissipation from Fin Insulated at End Tip Formula

GoHeat Dissipation from Fin Losing Heat at End Tip Formula

GoHeat Dissipation from Infinitely Long Fin 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 = (\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)

Q_fin - Fin Heat Transfer Rate?P_fin - Perimeter of Fin?h_transfer - Heat Transfer Coefficient?k_fin - Thermal Conductivity of Fin?A_c - Cross Sectional Area?T_w - Surface Temperature?T_s - Surrounding Temperature?L_fin - Length of Fin?

Heat Dissipation from Fin Insulated at End Tip Example

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Here is how the Heat Dissipation from Fin Insulated at End Tip equation looks like with Values.

Here is how the Heat Dissipation from Fin Insulated at End Tip equation looks like with Units.

Here is how the Heat Dissipation from Fin Insulated at End Tip equation looks like.

37945.9256 = (\sqrt{(25 \cdot 13.2 \cdot 10.18 \cdot 10.2)}) \cdot (305 - 100) \cdot \tanh ((\sqrt{\frac{25 \cdot 13.2}{10.18 \cdot 10.2}}) \cdot 3)

37945.9256W = (\sqrt{(25m \cdot 13.2W/m²*K \cdot 10.18W/(m*K) \cdot 10.2m²)}) \cdot (305K - 100K) \cdot \tanh ((\sqrt{\frac{25m \cdot 13.2W/m²*K}{10.18W/(m*K) \cdot 10.2m²}}) \cdot 3m)

37945.9256 = (\sqrt{(25 \cdot 13.2 \cdot 10.18 \cdot 10.2)}) \cdot (305 - 100) \cdot \tanh ((\sqrt{\frac{25 \cdot 13.2}{10.18 \cdot 10.2}}) \cdot 3)

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Home » Engineering » Chemical Engineering » Heat Transfer » Heat Dissipation from Fin Insulated at End Tip

Heat Dissipation from Fin Insulated at End Tip Solution

Follow our step by step solution on how to calculate Heat Dissipation from Fin Insulated at End Tip?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

Q fin = (\sqrt{(25m \cdot 13.2W/m²*K \cdot 10.18W/(m*K) \cdot 10.2m²)}) \cdot (305K - 100K) \cdot \tanh ((\sqrt{\frac{25m \cdot 13.2W/m²*K}{10.18W/(m*K) \cdot 10.2m²}}) \cdot 3m)

Next Step Prepare to Evaluate

∴

Q fin = (\sqrt{(25 \cdot 13.2 \cdot 10.18 \cdot 10.2)}) \cdot (305 - 100) \cdot \tanh ((\sqrt{\frac{25 \cdot 13.2}{10.18 \cdot 10.2}}) \cdot 3)

Next Step Evaluate

∴

Q fin = 37945.9256403575W

LAST Step Rounding Answer

∴

Q fin = 37945.9256W

Heat Dissipation from Fin Insulated at End Tip Formula Elements

Variables

Functions

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.

Perimeter of Fin

The perimeter of fin is the total distance around the edge of the figure.

Symbol: P_fin

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Heat Transfer Coefficient

The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.

Symbol: h_transfer

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Thermal Conductivity of Fin

Thermal Conductivity of Fin is rate of heat passes through Fin, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

Symbol: k_fin

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Cross Sectional Area

Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_c

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Surface Temperature

Surface Temperature is the temperature at or near a surface. Specifically, it may refer to as Surface air temperature, the temperature of the air near the surface of the earth.

Symbol: T_w

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Surrounding Temperature

The Surrounding Temperature of a body is temperature of the surroundings body.

Symbol: T_s

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Length of Fin

Length of Fin is the measurement of fin.

Symbol: L_fin

Measurement: LengthUnit: m

Note: Value should be greater than 0.

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

tanh

The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).

Syntax: tanh(Number)

Credits

Created by Heet Vora

Thadomal Shahani Engineering College (Tsec), Mumbai

Heet Vora has created this Formula and 200+ more formulas!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Formula and 1600+ more formulas!

Other Formulas to find Fin Heat Transfer Rate

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})

How to Evaluate Heat Dissipation from Fin Insulated at End Tip?

Heat Dissipation from Fin Insulated at End Tip evaluator uses 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) to evaluate the Fin Heat Transfer Rate, The Heat Dissipation from Fin Insulated at End Tip formula is defined as the heat loss from the long and thin film tip is negligible, thus the end of the tip can be, considered as insulated. Fin Heat Transfer Rate is denoted by Q_fin symbol.

How to evaluate Heat Dissipation from Fin Insulated at End Tip using this online evaluator? To use this online evaluator for Heat Dissipation from Fin Insulated at End Tip, enter Perimeter of Fin (P_fin), Heat Transfer Coefficient (h_transfer), Thermal Conductivity of Fin (k_fin), Cross Sectional Area (A_c), Surface Temperature (T_w), Surrounding Temperature (T_s) & Length of Fin (L_fin) and hit the calculate button.

FAQs on Heat Dissipation from Fin Insulated at End Tip

What is the formula to find Heat Dissipation from Fin Insulated at End Tip?

The formula of Heat Dissipation from Fin Insulated at End Tip is expressed as 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). Here is an example- 37945.93 = (sqrt((25*13.2*10.18*10.2)))*(305-100)*tanh((sqrt((25*13.2)/(10.18*10.2)))*3).

How to calculate Heat Dissipation from Fin Insulated at End Tip?

With Perimeter of Fin (P_fin), Heat Transfer Coefficient (h_transfer), Thermal Conductivity of Fin (k_fin), Cross Sectional Area (A_c), Surface Temperature (T_w), Surrounding Temperature (T_s) & Length of Fin (L_fin) we can find Heat Dissipation from Fin Insulated at End Tip using the formula - 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). This formula also uses Square Root (sqrt), Hyperbolic Tangent (tanh) function(s).

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)+(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)
Fin Heat Transfer Rate=Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature

Can the Heat Dissipation from Fin Insulated at End Tip be negative?

No, the Heat Dissipation from Fin Insulated at End Tip, measured in Power cannot be negative.

Which unit is used to measure Heat Dissipation from Fin Insulated at End Tip?

Heat Dissipation from Fin Insulated at End Tip is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Heat Dissipation from Fin Insulated at End Tip can be measured.

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Heat Dissipation from Fin Insulated at End Tip Formula

​GoHeat Dissipation from Fin Losing Heat at End Tip Formula

​GoHeat Dissipation from Infinitely Long Fin Formula

Heat Dissipation from Fin Insulated at End Tip Example

Heat Dissipation from Fin Insulated at End Tip Solution

Heat Dissipation from Fin Insulated at End Tip Formula Elements

Credits

Other Formulas to find Fin Heat Transfer Rate

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

How to Evaluate Heat Dissipation from Fin Insulated at End Tip?

FAQs on Heat Dissipation from Fin Insulated at End Tip

Variable Name

GoHeat Dissipation from Fin Losing Heat at End Tip Formula

GoHeat Dissipation from Infinitely Long Fin Formula