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Fin surface area Formula

GoFin surface area given equivalent diameter Formula

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Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. Check FAQs

A s = (\frac{π}{2}) \cdot NF \cdot (({FD}^{2}) - ({d o}^{2}))

A_s - Surface Area?NF - Number of Fins?FD - Fin Diameter?d_o - Outer Diameter?π - Archimedes' constant?

Fin surface area Example

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Here is how the Fin surface area equation looks like with Values.

Here is how the Fin surface area equation looks like with Units.

Here is how the Fin surface area equation looks like.

0.2815 = (\frac{3.1416}{2}) \cdot 8 \cdot (({0.3}^{2}) - ({0.26}^{2}))

0.2815m² = (\frac{3.1416}{2}) \cdot 8 \cdot (({0.3m}^{2}) - ({0.26m}^{2}))

0.2815 = (\frac{3.1416}{2}) \cdot 8 \cdot (({0.3}^{2}) - ({0.26}^{2}))

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Fin surface area Solution

Follow our step by step solution on how to calculate Fin surface area?

FIRST Step Consider the formula

A s = (\frac{π}{2}) \cdot NF \cdot (({FD}^{2}) - ({d o}^{2}))

Next Step Substitute values of Variables

∴

A s = (\frac{π}{2}) \cdot 8 \cdot (({0.3m}^{2}) - ({0.26m}^{2}))

Next Step Substitute values of Constants

∴

A s = (\frac{3.1416}{2}) \cdot 8 \cdot (({0.3m}^{2}) - ({0.26m}^{2}))

Next Step Prepare to Evaluate

∴

A s = (\frac{3.1416}{2}) \cdot 8 \cdot (({0.3}^{2}) - ({0.26}^{2}))

Next Step Evaluate

∴

A s = 0.281486701761645m²

LAST Step Rounding Answer

∴

A s = 0.2815m²

Fin surface area Formula Elements

Variables

Constants

Surface Area

Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.

Symbol: A_s

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area

Number of Fins

The Number of Fins is the total count of the fins in length L.

Symbol: NF

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Fins

Fin Diameter

Fin diameter is the length from end of one fin to the end of opposite fin on the other side.

Symbol: FD

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Fin Diameter

Outer Diameter

The Outer Diameter is the diameter of outer edge of circular hollow shaft.

Symbol: d_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Diameter

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Surface Area

Go Fin surface area given equivalent diameter

A s = (\frac{π \cdot De \cdot P}{2}) - AB

Other formulas in Fin Parameters category

Go Equivalent diameter of tube for transverse fin heat exchanger

De = \frac{R e \cdot μ}{Δm}

Go Number of tubes in transverse fin heat exchanger

N = \frac{m}{G \cdot TP \cdot h c}

Go Distance between two consequent tubes in transverse fin heat exchanger

TP = \frac{m}{G \cdot N \cdot L}

Go Length of tube bank

L = \frac{m}{G \cdot N \cdot TP}

How to Evaluate Fin surface area?

Fin surface area evaluator uses Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2)) to evaluate 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 A_s symbol.

How to evaluate Fin surface area using this online evaluator? To use this online evaluator for Fin surface area, enter Number of Fins (NF), Fin Diameter (FD) & Outer Diameter (d_o) and hit the calculate button.

FAQs on Fin surface area

What is the formula to find Fin surface area?

The formula of Fin surface area is expressed as Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2)). Here is an example- 0.281487 = (pi/2)*8*((0.3^2)-(0.26^2)).

How to calculate Fin surface area?

With Number of Fins (NF), Fin Diameter (FD) & Outer Diameter (d_o) we can find Fin surface area using the formula - Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Surface Area?

Here are the different ways to Calculate Surface Area-

Surface Area=((pi*Equivalent Diameter*Perimeter)/2)-Bare Area

Can the Fin surface area be negative?

No, the Fin surface area, measured in Area cannot be negative.

Which unit is used to measure Fin surface area?

Fin surface area is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Fin surface area can be measured.

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