Heat Dissipation from Fin Insulated at End Tip Calculator

✖The perimeter of fin is the total distance around the edge of the figure.ⓘ Perimeter of Fin [P_fin]			+10% -10%
✖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.ⓘ Heat Transfer Coefficient [h_transfer]			+10% -10%
✖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.ⓘ Thermal Conductivity of Fin [k_fin]			+10% -10%
✖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.ⓘ Cross Sectional Area [A_c]			+10% -10%
✖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.ⓘ Surface Temperature [T_w]			+10% -10%
✖The Surrounding Temperature of a body is temperature of the surroundings body.ⓘ Surrounding Temperature [T_s]			+10% -10%
✖Length of Fin is the measurement of fin.ⓘ Length of Fin [L_fin]			+10% -10%

✖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.ⓘ Heat Dissipation from Fin Insulated at End Tip [Q_fin]

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Heat Dissipation from Fin Insulated at End Tip Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_fin = (sqrt((P_fin*h_transfer*k_fin*A_c)))*(T_w-T_s)*tanh((sqrt((P_fin*h_transfer)/(k_fin*A_c)))*L_fin)
This formula uses 2 Functions, 8 Variables

Functions Used

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., 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)., tanh(Number)

Variables Used

Fin Heat Transfer Rate - (Measured in Watt) - 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.
Perimeter of Fin - (Measured in Meter) - The perimeter of fin is the total distance around the edge of the figure.
Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - 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.
Thermal Conductivity of Fin - (Measured in Watt per Meter per K) - 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.
Cross Sectional Area - (Measured in Square Meter) - 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.
Surface Temperature - (Measured in Kelvin) - 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.
Surrounding Temperature - (Measured in Kelvin) - The Surrounding Temperature of a body is temperature of the surroundings body.
Length of Fin - (Measured in Meter) - Length of Fin is the measurement of fin.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Fin: 25 Meter --> 25 Meter No Conversion Required
Heat Transfer Coefficient: 13.2 Watt per Square Meter per Kelvin --> 13.2 Watt per Square Meter per Kelvin No Conversion Required
Thermal Conductivity of Fin: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Cross Sectional Area: 10.2 Square Meter --> 10.2 Square Meter No Conversion Required
Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Surrounding Temperature: 100 Kelvin --> 100 Kelvin No Conversion Required
Length of Fin: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_fin = (sqrt((P_fin*h_transfer*k_fin*A_c)))*(T_w-T_s)*tanh((sqrt((P_fin*h_transfer)/(k_fin*A_c)))*L_fin) --> (sqrt((25*13.2*10.18*10.2)))*(305-100)*tanh((sqrt((25*13.2)/(10.18*10.2)))*3)

Evaluating ... ...

Q_fin = 37945.9256403575

STEP 3: Convert Result to Output's Unit

37945.9256403575 Watt --> No Conversion Required

FINAL ANSWER

37945.9256403575 ≈ 37945.93 Watt <-- Fin Heat Transfer Rate

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Heat Transfer » Heat Transfer from Extended Surfaces (Fins) » Heat Dissipation from Fin Insulated at End Tip

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< Heat Transfer from Extended Surfaces (Fins) Calculators

Heat Dissipation from Fin Insulated at End Tip

LaTeX Go 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 Dissipation from Infinitely Long Fin

LaTeX Go Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)

Newton's Law of Cooling

LaTeX Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Biot Number using Characteristic Length

LaTeX Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

< Heat Transfer from Extended Surfaces (Fins), Critical Thickness of Insulation and Thermal Resistance Calculators

Biot Number using Characteristic Length

LaTeX Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

Correction Length for Cylindrical Fin with Non-Adiabatic Tip

LaTeX Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)

Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip

LaTeX Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)

Correction Length for Square Fin with Non-Adiabatic Tip

LaTeX Go Correction Length for Sqaure Fin = Length of Fin+(Width of Fin/4)

Heat Dissipation from Fin Insulated at End Tip Formula

LaTeX Go

What is Heat Dissipation?

Heat dissipation occurs when an object that is hotter than other objects is placed in an environment where the heat of the hotter object is transferred to the colder objects and the surrounding environment.

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

Heat Dissipation from Fin Insulated at End Tip calculator 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 calculate 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 calculate Heat Dissipation from Fin Insulated at End Tip using this online calculator? To use this online calculator 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. Here is how the Heat Dissipation from Fin Insulated at End Tip calculation can be explained with given input values -> 37945.93 = (sqrt((25*13.2*10.18*10.2)))*(305-100)*tanh((sqrt((25*13.2)/(10.18*10.2)))*3).

FAQ

What is Heat Dissipation from Fin Insulated at End Tip?

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 and is represented as Q_fin = (sqrt((P_fin*h_transfer*k_fin*A_c)))*(T_w-T_s)*tanh((sqrt((P_fin*h_transfer)/(k_fin*A_c)))*L_fin) or 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). The perimeter of fin is the total distance around the edge of the figure, 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, 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, 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, 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, The Surrounding Temperature of a body is temperature of the surroundings body & Length of Fin is the measurement of fin.

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

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 is calculated using 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 calculate Heat Dissipation from Fin Insulated at End Tip, you need 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). With our tool, you need to enter the respective value for Perimeter of Fin, Heat Transfer Coefficient, Thermal Conductivity of Fin, Cross Sectional Area, Surface Temperature, Surrounding Temperature & Length of Fin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Fin Heat Transfer Rate?

In this formula, Fin Heat Transfer Rate uses Perimeter of Fin, Heat Transfer Coefficient, Thermal Conductivity of Fin, Cross Sectional Area, Surface Temperature, Surrounding Temperature & Length of Fin. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = (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

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