Heat Transfer in Fins given Fin Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature
Qfin = Uoverall*A*η*ΔT
This formula uses 5 Variables
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.
Overall Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - The Overall Heat Transfer Coefficient is a measure of the overall ability of a series of conductive and convective barriers to transfer heat.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Fin Efficiency - Fin Efficiency is defined as the ratio of heat dissipation by the fin to the heat dissipation takes place if the whole surface area of the fin is at the base temperature.
Overall Difference in Temperature - (Measured in Kelvin) - Overall difference in temperature is the difference of overall temperature values.
STEP 1: Convert Input(s) to Base Unit
Overall Heat Transfer Coefficient: 6 Watt per Square Meter per Kelvin --> 6 Watt per Square Meter per Kelvin No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Fin Efficiency: 0.54 --> No Conversion Required
Overall Difference in Temperature: 200 Kelvin --> 200 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qfin = Uoverall*A*η*ΔT --> 6*50*0.54*200
Evaluating ... ...
Qfin = 32400
STEP 3: Convert Result to Output's Unit
32400 Watt --> No Conversion Required
FINAL ANSWER
32400 Watt <-- Fin Heat Transfer Rate
(Calculation completed in 00.020 seconds)

Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
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9 Heat Transfer from Extended Surfaces (Fins) Calculators

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

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

Heat Dissipation from Fin Losing Heat at End Tip
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 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))))))
Heat Dissipation from Fin Insulated at End Tip
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
Go Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)
Thermal Resistance for Conduction at Tube Wall
Go Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)
Heat Transfer in Fins given Fin Efficiency
Go Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Biot Number using Characteristic Length
Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Critical Radius of Insulation of Hollow Sphere
Go Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient
Critical Radius of Insulation of Cylinder
Go Critical Radius of Insulation = Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient
Correction Length for Cylindrical Fin with Non-Adiabatic Tip
Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)
Outside Heat Transfer Coefficient given Thermal Resistance
Go External Convection Heat Transfer Coefficient = 1/(Thermal Resistance*Outside Area)
Thermal Resistance for Convection at Outer Surface
Go Thermal Resistance = 1/(External Convection Heat Transfer Coefficient*Outside Area)
Outside Area given Outer Thermal Resistance
Go Outside Area = 1/(External Convection Heat Transfer Coefficient*Thermal Resistance)
Inner Heat Transfer Coefficient given Inner Thermal Resistance
Go Inside Convection Heat Transfer Coefficient = 1/(Inside Area*Thermal Resistance)
Inside Area given Thermal Resistance for Inner Surface
Go Inside Area = 1/(Inside Convection Heat Transfer Coefficient*Thermal Resistance)
Thermal Resistance for Convection at Inner Surface
Go Thermal Resistance = 1/(Inside Area*Inside Convection Heat Transfer Coefficient)
Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip
Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)
Volumetric Heat Generation in Current Carrying Electrical Conductor
Go Volumetric Heat Generation = (Electric Current Density^2)*Resistivity
Total Thermal Resistance
Go Total Thermal Resistance = 1/(Overall Heat Transfer Coefficient*Area)
Correction Length for Square Fin with Non-Adiabatic Tip
Go Correction Length for Sqaure Fin = Length of Fin+(Width of Fin/4)

Heat Transfer in Fins given Fin Efficiency Formula

Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature
Qfin = Uoverall*A*η*ΔT

What is Heat Transfer?

Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

Define Thermal Conductivity & Factors affecting it?

Thermal conductivity is defined as the ability of a substance to conduct heat. Factors Affecting The Thermal Conductivity are: Moisture, Density of material, Pressure, Temperature & Structure of material.

How to Calculate Heat Transfer in Fins given Fin Efficiency?

Heat Transfer in Fins given Fin Efficiency calculator uses Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature to calculate the Fin Heat Transfer Rate, The Heat Transfer in Fins given Fin Efficiency formula is defined as the product of the area, temperature difference, fin efficiency & overall heat transfer coefficient. Fin Efficiency is the ratio of the heat transfer to the fin to the heat transfer to an ideal fin. Fin Heat Transfer Rate is denoted by Qfin symbol.

How to calculate Heat Transfer in Fins given Fin Efficiency using this online calculator? To use this online calculator for Heat Transfer in Fins given Fin Efficiency, enter Overall Heat Transfer Coefficient (Uoverall), Area (A), Fin Efficiency (η) & Overall Difference in Temperature (ΔT) and hit the calculate button. Here is how the Heat Transfer in Fins given Fin Efficiency calculation can be explained with given input values -> 32400 = 6*50*0.54*200.

FAQ

What is Heat Transfer in Fins given Fin Efficiency?
The Heat Transfer in Fins given Fin Efficiency formula is defined as the product of the area, temperature difference, fin efficiency & overall heat transfer coefficient. Fin Efficiency is the ratio of the heat transfer to the fin to the heat transfer to an ideal fin and is represented as Qfin = Uoverall*A*η*ΔT or Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature. The Overall Heat Transfer Coefficient is a measure of the overall ability of a series of conductive and convective barriers to transfer heat, The area is the amount of two-dimensional space taken up by an object, Fin Efficiency is defined as the ratio of heat dissipation by the fin to the heat dissipation takes place if the whole surface area of the fin is at the base temperature & Overall difference in temperature is the difference of overall temperature values.
How to calculate Heat Transfer in Fins given Fin Efficiency?
The Heat Transfer in Fins given Fin Efficiency formula is defined as the product of the area, temperature difference, fin efficiency & overall heat transfer coefficient. Fin Efficiency is the ratio of the heat transfer to the fin to the heat transfer to an ideal fin is calculated using Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature. To calculate Heat Transfer in Fins given Fin Efficiency, you need Overall Heat Transfer Coefficient (Uoverall), Area (A), Fin Efficiency (η) & Overall Difference in Temperature (ΔT). With our tool, you need to enter the respective value for Overall Heat Transfer Coefficient, Area, Fin Efficiency & Overall Difference in Temperature 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 Overall Heat Transfer Coefficient, Area, Fin Efficiency & Overall Difference in Temperature. We can use 6 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)
  • 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 = (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 = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)
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