Heat Dissipation from Fin Losing Heat at End Tip Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*((tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))))/(1+tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)))
Qfin = ((Pfin*h*kfin*Ac)^0.5)*(Tw-Ts)*((tanh(((Pfin*h/kfin*Ac)^0.5)*Lfin)+(h)/(kfin*((Pfin*h/kfin*Ac)^0.5))))/(1+tanh(((Pfin*h/kfin*Ac)^0.5)*Lfin)*(h)/(kfin*((Pfin*h/kfin*Ac)^0.5)))
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 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 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 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 Meter² per K --> 13.2 Watt per Meter² per K 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
Qfin = ((Pfin*h*kfin*Ac)^0.5)*(Tw-Ts)*((tanh(((Pfin*h/kfin*Ac)^0.5)*Lfin)+(h)/(kfin*((Pfin*h/kfin*Ac)^0.5))))/(1+tanh(((Pfin*h/kfin*Ac)^0.5)*Lfin)*(h)/(kfin*((Pfin*h/kfin*Ac)^0.5))) --> ((25*13.2*10.18*10.2)^0.5)*(305-100)*((tanh(((25*13.2/10.18*10.2)^0.5)*3)+(13.2)/(10.18*((25*13.2/10.18*10.2)^0.5))))/(1+tanh(((25*13.2/10.18*10.2)^0.5)*3)*(13.2)/(10.18*((25*13.2/10.18*10.2)^0.5)))
Evaluating ... ...
Qfin = 37947.6429702821
STEP 3: Convert Result to Output's Unit
37947.6429702821 Watt --> No Conversion Required
FINAL ANSWER
37947.6429702821 Watt <-- Fin Heat Transfer Rate
(Calculation completed in 00.047 seconds)

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9 Heat Transfer from Extended Surfaces (Fins) Calculators

Heat Dissipation from Fin Losing Heat at End Tip
Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*((tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))))/(1+tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))) Go
Heat Dissipation from Fin Insulated at End Tip
Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin) Go
Heat Dissipation from Infinitely Long Fin
Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature) Go
Heat Transfer in Fins given 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 of Fin) Go
Correction Length for Cylindrical Fin
Correction Length = Length of Fin+(Diameter of Cylindrical Fin/4) Go
Correction Length for Thin Rectangular Fin
Correction Length = Length of Fin+(Thickness of Fin/2) Go
Correction Length for Square Fin
Correction Length = Length of Fin+(Width of Fin/4) Go

Heat Dissipation from Fin Losing Heat at End Tip Formula

Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*((tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))))/(1+tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)))
Qfin = ((Pfin*h*kfin*Ac)^0.5)*(Tw-Ts)*((tanh(((Pfin*h/kfin*Ac)^0.5)*Lfin)+(h)/(kfin*((Pfin*h/kfin*Ac)^0.5))))/(1+tanh(((Pfin*h/kfin*Ac)^0.5)*Lfin)*(h)/(kfin*((Pfin*h/kfin*Ac)^0.5)))

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 Losing Heat at End Tip?

Heat Dissipation from Fin Losing Heat at End Tip calculator uses Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*((tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))))/(1+tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))) to calculate the Fin Heat Transfer Rate, The Heat Dissipation from Fin losing Heat at End Tip formula is defined as the heat loss from the long and thin film. Fin Heat Transfer Rate is denoted by Qfin symbol.

How to calculate Heat Dissipation from Fin Losing Heat at End Tip using this online calculator? To use this online calculator for Heat Dissipation from Fin Losing Heat at End Tip, enter Perimeter of Fin (Pfin), Heat Transfer Coefficient (h), Thermal Conductivity of Fin (kfin), Cross Sectional Area (Ac), Surface Temperature (Tw), Surrounding Temperature (Ts) & Length of Fin (Lfin) and hit the calculate button. Here is how the Heat Dissipation from Fin Losing Heat at End Tip calculation can be explained with given input values -> 37947.64 = ((25*13.2*10.18*10.2)^0.5)*(305-100)*((tanh(((25*13.2/10.18*10.2)^0.5)*3)+(13.2)/(10.18*((25*13.2/10.18*10.2)^0.5))))/(1+tanh(((25*13.2/10.18*10.2)^0.5)*3)*(13.2)/(10.18*((25*13.2/10.18*10.2)^0.5))).

FAQ

What is Heat Dissipation from Fin Losing Heat at End Tip?
The Heat Dissipation from Fin losing Heat at End Tip formula is defined as the heat loss from the long and thin film and is represented as Qfin = ((Pfin*h*kfin*Ac)^0.5)*(Tw-Ts)*((tanh(((Pfin*h/kfin*Ac)^0.5)*Lfin)+(h)/(kfin*((Pfin*h/kfin*Ac)^0.5))))/(1+tanh(((Pfin*h/kfin*Ac)^0.5)*Lfin)*(h)/(kfin*((Pfin*h/kfin*Ac)^0.5))) or Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*((tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))))/(1+tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))). 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 Losing Heat at End Tip?
The Heat Dissipation from Fin losing Heat at End Tip formula is defined as the heat loss from the long and thin film is calculated using Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*((tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))))/(1+tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5))). To calculate Heat Dissipation from Fin Losing Heat at End Tip, you need Perimeter of Fin (Pfin), Heat Transfer Coefficient (h), Thermal Conductivity of Fin (kfin), Cross Sectional Area (Ac), Surface Temperature (Tw), Surrounding Temperature (Ts) & Length of Fin (Lfin). 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 = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)*tanh(((Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*Length of Fin)
  • Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature
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