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Heat Dissipation from Infinitely Long Fin 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 = ({(P fin \cdot h transfer \cdot k fin \cdot A c)}^{0.5}) \cdot (T w - T s)

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?

Heat Dissipation from Infinitely Long Fin Example

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Here is how the Heat Dissipation from Infinitely Long Fin equation looks like with Values.

Here is how the Heat Dissipation from Infinitely Long Fin equation looks like with Units.

Here is how the Heat Dissipation from Infinitely Long Fin equation looks like.

37947.643 = ({(25 \cdot 13.2 \cdot 10.18 \cdot 10.2)}^{0.5}) \cdot (305 - 100)

37947.643W = ({(25m \cdot 13.2W/m²*K \cdot 10.18W/(m*K) \cdot 10.2m²)}^{0.5}) \cdot (305K - 100K)

37947.643 = ({(25 \cdot 13.2 \cdot 10.18 \cdot 10.2)}^{0.5}) \cdot (305 - 100)

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Heat Dissipation from Infinitely Long Fin Solution

Follow our step by step solution on how to calculate Heat Dissipation from Infinitely Long Fin?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q fin = ({(25m \cdot 13.2W/m²*K \cdot 10.18W/(m*K) \cdot 10.2m²)}^{0.5}) \cdot (305K - 100K)

Next Step Prepare to Evaluate

∴

Q fin = ({(25 \cdot 13.2 \cdot 10.18 \cdot 10.2)}^{0.5}) \cdot (305 - 100)

Next Step Evaluate

∴

Q fin = 37947.6429702821W

LAST Step Rounding Answer

∴

Q fin = 37947.643W

Heat Dissipation from Infinitely Long Fin 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

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.

Formulas to find Perimeter of Fin

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.

Formulas to find Heat Transfer Coefficient

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.

Formulas to find Thermal Conductivity of Fin

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.

Formulas to find Cross Sectional Area

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.

Formulas to find Surface Temperature

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.

Formulas to find Surrounding 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}})})}

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 Infinitely Long Fin?

Heat Dissipation from Infinitely Long Fin evaluator uses Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature) to evaluate the Fin Heat Transfer Rate, The Heat Dissipation from Infinitely Long Fin formula is defined as surfaces that extend from an object to increase the rate of heat transfer to or from the environment by increasing convection. Fin Heat Transfer Rate is denoted by Q_fin symbol.

How to evaluate Heat Dissipation from Infinitely Long Fin using this online evaluator? To use this online evaluator for Heat Dissipation from Infinitely Long Fin, 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) and hit the calculate button.

FAQs on Heat Dissipation from Infinitely Long Fin

What is the formula to find Heat Dissipation from Infinitely Long Fin?

The formula of Heat Dissipation from Infinitely Long Fin is expressed as Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature). Here is an example- 37947.64 = ((25*13.2*10.18*10.2)^0.5)*(305-100).

How to calculate Heat Dissipation from Infinitely Long Fin?

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) we can find Heat Dissipation from Infinitely Long Fin using the formula - Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding 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=Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature

Can the Heat Dissipation from Infinitely Long Fin be negative?

No, the Heat Dissipation from Infinitely Long Fin, measured in Power cannot be negative.

Which unit is used to measure Heat Dissipation from Infinitely Long Fin?

Heat Dissipation from Infinitely Long Fin 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 Infinitely Long Fin can be measured.

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Heat Dissipation from Infinitely Long Fin Formula

​GoHeat Dissipation from Fin Insulated at End Tip Formula

​GoHeat Dissipation from Fin Losing Heat at End Tip Formula

Heat Dissipation from Infinitely Long Fin Example

Heat Dissipation from Infinitely Long Fin Solution

Heat Dissipation from Infinitely Long Fin Formula Elements

Other Formulas to find Fin Heat Transfer Rate

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

How to Evaluate Heat Dissipation from Infinitely Long Fin?

FAQs on Heat Dissipation from Infinitely Long Fin

Variable Name

GoHeat Dissipation from Fin Insulated at End Tip Formula

GoHeat Dissipation from Fin Losing Heat at End Tip Formula