Fin surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2))
As = (pi/2)*NF*((FD^2)-(do^2))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Surface Area - (Measured in Square Meter) - Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
Number of Fins - The Number of Fins is the total count of the fins in length L.
Fin Diameter - (Measured in Meter) - Fin diameter is the length from end of one fin to the end of opposite fin on the other side.
Outer Diameter - (Measured in Meter) - The Outer Diameter is the diameter of outer edge of circular hollow shaft.
STEP 1: Convert Input(s) to Base Unit
Number of Fins: 8 --> No Conversion Required
Fin Diameter: 0.3 Meter --> 0.3 Meter No Conversion Required
Outer Diameter: 0.26 Meter --> 0.26 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
As = (pi/2)*NF*((FD^2)-(do^2)) --> (pi/2)*8*((0.3^2)-(0.26^2))
Evaluating ... ...
As = 0.281486701761645
STEP 3: Convert Result to Output's Unit
0.281486701761645 Square Meter --> No Conversion Required
FINAL ANSWER
0.281486701761645 0.281487 Square Meter <-- Surface Area
(Calculation completed in 00.004 seconds)

Credits

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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25 Transverse Fin Heat Exchanger Calculators

Outer Diameter of Tube in Transverse Fin Heat Exchanger
Go Outer Diameter = Bare Area/(pi*(Height of Crack-Number of Fins*Thickness))
Bare Area over Fin leaving Fin Base
Go Bare Area = pi*Outer Diameter*(Height of Crack-Number of Fins*Thickness)
Number of tubes in transverse fin heat exchanger
Go Number of Tubes = Mass Flow Rate/(Mass Flux(g)*Distance between two Consequent Tubes*Height of Crack)
Mass flux given mass flowrate
Go Mass Flux(g) = Mass Flow Rate/(Number of Tubes*Distance between two Consequent Tubes*Height of Crack)
Mass flowrate given mass flux
Go Mass Flow Rate = Mass Flux(g)*Number of Tubes*Distance between two Consequent Tubes*Height of Crack
Distance between two consequent tubes in transverse fin heat exchanger
Go Distance between two Consequent Tubes = Mass Flow Rate/(Mass Flux(g)*Number of Tubes*Length)
Length of tube bank
Go Length = Mass Flow Rate/(Mass Flux(g)*Number of Tubes*Distance between two Consequent Tubes)
Number of fins in length L
Go Number of Fins = (2*Surface Area)/(pi*((Fin Diameter^2)-(Outer Diameter^2)))
Fin surface area
Go Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2))
Tube inside area required for heat exchange
Go Area = Heat Flow Rate/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference)
Logarithmic mean of temperature difference
Go Logarithmic Mean Temperature Difference = Heat Flow Rate/(Area*Overall Heat Transfer Coefficient)
Perimeter given equivalent diameter
Go Perimeter = (2*(Surface Area+Bare Area))/(pi*Equivalent Diameter)
Overall heat transfer coefficient
Go Overall Heat Transfer Coefficient = Heat Flow Rate/(Area*Logarithmic Mean Temperature Difference)
Bare Area over Fin leaving Fin Base given Surface Area
Go Bare Area = ((pi*Equivalent Diameter*Perimeter)/2)-Surface Area
Fin surface area given equivalent diameter
Go Surface Area = ((pi*Equivalent Diameter*Perimeter)/2)-Bare Area
Equivalent diameter
Go Equivalent Diameter = 2*(Surface Area+Bare Area)/(pi*Perimeter)
Heat flow required
Go Heat Flow Rate = Area*Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference
Equivalent diameter of tube for transverse fin heat exchanger
Go Equivalent Diameter = (Reynolds Number(e)*Viscosity of Fluid)/(Mass Flux)
Viscosity of fluid flowing inside tube of transverse fin heat exchanger
Go Viscosity of Fluid = (Mass Flux*Equivalent Diameter)/Reynolds Number(e)
Mass flux of fluid in transverse fin heat exchanger
Go Mass Flux = (Reynolds Number(e)*Viscosity of Fluid)/Equivalent Diameter
Reynolds number in heat exchanger
Go Reynolds Number = (Mass Flux*Equivalent Diameter)/(Viscosity of Fluid)
Length of fin
Go Fin Length = (Perimeter-(2*Height of Crack))/((4*Number of Fins))
Height of tank tube given perimeter
Go Height of Crack = (Perimeter-(4*Number of Fins*Fin Length))/2
Number of fins given perimeter
Go Number of Fins = (Perimeter-2*Height of Crack)/(4*Fin Length)
Perimeter of tube
Go Perimeter = (4*Number of Fins*Fin Length)+2*Height of Crack

Fin surface area Formula

Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2))
As = (pi/2)*NF*((FD^2)-(do^2))

What is Heat exchanger?

A heat exchanger is a system used to transfer heat between two or more fluids. Heat exchangers are used in both cooling and heating processes. The fluids may be separated by a solid wall to prevent mixing or they may be in direct contact. They are widely used in space heating, refrigeration, air conditioning, power stations, chemical plants, petrochemical plants, petroleum refineries, natural-gas processing, and sewage treatment. The classic example of a heat exchanger is found in an internal combustion engine in which a circulating fluid known as engine coolant flows through radiator coils and air flows past the coils, which cools the coolant and heats the incoming air. Another example is the heat sink, which is a passive heat exchanger that transfers the heat generated by an electronic or a mechanical device to a fluid medium, often air or a liquid coolant.

How to Calculate Fin surface area?

Fin surface area calculator uses Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2)) to calculate the Surface Area, The Fin surface area formula is defined as the area on the surface required for the fin for effective heat transfer. Surface Area is denoted by As symbol.

How to calculate Fin surface area using this online calculator? To use this online calculator for Fin surface area, enter Number of Fins (NF), Fin Diameter (FD) & Outer Diameter (do) and hit the calculate button. Here is how the Fin surface area calculation can be explained with given input values -> 0.281487 = (pi/2)*8*((0.3^2)-(0.26^2)).

FAQ

What is Fin surface area?
The Fin surface area formula is defined as the area on the surface required for the fin for effective heat transfer and is represented as As = (pi/2)*NF*((FD^2)-(do^2)) or Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2)). The Number of Fins is the total count of the fins in length L, Fin diameter is the length from end of one fin to the end of opposite fin on the other side & The Outer Diameter is the diameter of outer edge of circular hollow shaft.
How to calculate Fin surface area?
The Fin surface area formula is defined as the area on the surface required for the fin for effective heat transfer is calculated using Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2)). To calculate Fin surface area, you need Number of Fins (NF), Fin Diameter (FD) & Outer Diameter (do). With our tool, you need to enter the respective value for Number of Fins, Fin Diameter & Outer Diameter 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 Surface Area?
In this formula, Surface Area uses Number of Fins, Fin Diameter & Outer Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Surface Area = ((pi*Equivalent Diameter*Perimeter)/2)-Bare Area
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