Heat Dissipation from Fin Insulated at End Tip Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fin Heat Transfer Rate = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length)
Qfin = ((P*h*k*A)^0.5)*(Tw-Ts)*tanh(((P*h/k*A)^0.5)*L)
This formula uses 1 Functions, 8 Variables
Functions Used
tanh - Hyperbolic tangent function, 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 - (Measured in Meter) - The perimeter of a figure is the total distance around the edge of the figure.
Heat Transfer Coefficient - (Measured in Watt per Meter² per K) - 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 - (Measured in Watt per Meter per K) - Thermal Conductivity is the rate at which heat passes through a specified material, expressed as the amount of heat that 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 - (Measured in Meter) - Length is the measurement or extent of something from end to end.
STEP 1: Convert Input(s) to Base Unit
Perimeter: 25 Meter --> 25 Meter No Conversion Required
Heat Transfer Coefficient: 5 Watt per Meter² per K --> 5 Watt per Meter² per K No Conversion Required
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Cross Sectional Area: 10 Square Meter --> 10 Square Meter No Conversion Required
Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Surrounding Temperature: 100 Kelvin --> 100 Kelvin No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qfin = ((P*h*k*A)^0.5)*(Tw-Ts)*tanh(((P*h/k*A)^0.5)*L) --> ((25*5*10*10)^0.5)*(305-100)*tanh(((25*5/10*10)^0.5)*3)
Evaluating ... ...
Qfin = 22919.6967693728
STEP 3: Convert Result to Output's Unit
22919.6967693728 Watt --> No Conversion Required
FINAL ANSWER
22919.6967693728 Watt <-- Fin Heat Transfer Rate
(Calculation completed in 00.062 seconds)

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9 Heat Transfer from Extended Surfaces (Fins) Calculators

Heat Dissipation from a Fin Losing Heat at the End Tip
Fin Heat Transfer Rate = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*((tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length)+(Heat Transfer Coefficient)/(Thermal Conductivity*((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5))))/(1+tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length)*(Heat Transfer Coefficient)/(Thermal Conductivity*((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5))) Go
Heat Dissipation from Fin Insulated at End Tip
Fin Heat Transfer Rate = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length) Go
Heat Dissipation from Infinitely Long Fin
Fin Heat Transfer Rate = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature) Go
Heat Transfer Based on Fin Efficiency
Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature Go
Newton's Law of Cooling
Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid) Go
Biot Number using Characteristic Length
Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity) Go
Correction Length for Thin Rectangular Fin
Correction Length = Length+(Thickness/2) Go
Correction Length for Cylindrical Fin
Correction Length = Length+(Diameter/4) Go
Correction Length for Square Fin
Correction Length = Length+(Width/4) Go

Heat Dissipation from Fin Insulated at End Tip Formula

Fin Heat Transfer Rate = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length)
Qfin = ((P*h*k*A)^0.5)*(Tw-Ts)*tanh(((P*h/k*A)^0.5)*L)

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 = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length) 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 Qfin 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 (P), Heat Transfer Coefficient (h), Thermal Conductivity (k), Cross Sectional Area (A), Surface Temperature (Tw), Surrounding Temperature (Ts) & Length (L) 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 -> 22919.7 = ((25*5*10*10)^0.5)*(305-100)*tanh(((25*5/10*10)^0.5)*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 Qfin = ((P*h*k*A)^0.5)*(Tw-Ts)*tanh(((P*h/k*A)^0.5)*L) or Fin Heat Transfer Rate = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length). The perimeter of a figure 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 is the rate at which heat passes through a specified material, expressed as the amount of heat that 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 is the measurement or extent of something from end to end.
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 = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length). To calculate Heat Dissipation from Fin Insulated at End Tip, you need Perimeter (P), Heat Transfer Coefficient (h), Thermal Conductivity (k), Cross Sectional Area (A), Surface Temperature (Tw), Surrounding Temperature (Ts) & Length (L). With our tool, you need to enter the respective value for Perimeter, Heat Transfer Coefficient, Thermal Conductivity, Cross Sectional Area, Surface Temperature, Surrounding Temperature & Length 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, Heat Transfer Coefficient, Thermal Conductivity, Cross Sectional Area, Surface Temperature, Surrounding Temperature & Length. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Fin Heat Transfer Rate = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)
  • Fin Heat Transfer Rate = ((Perimeter*Heat Transfer Coefficient*Thermal Conductivity*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*((tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length)+(Heat Transfer Coefficient)/(Thermal Conductivity*((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5))))/(1+tanh(((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)*Length)*(Heat Transfer Coefficient)/(Thermal Conductivity*((Perimeter*Heat Transfer Coefficient/Thermal Conductivity*Cross Sectional Area)^0.5)))
  • Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature
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