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Surface area of fin given convection coefficient 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{(\frac{h ia \cdot π \cdot d i \cdot h c}{h oe}) - AB}{η}

A_s - Surface Area?h_ia - Convection coefficient based on inside area?d_i - Inner Diameter?h_c - Height of Crack?h_oe - Effective convection coefficient on outside?AB - Bare Area?η - Fin Efficiency?π - Archimedes' constant?

Surface area of fin given convection coefficient Example

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Here is how the Surface area of fin given convection coefficient equation looks like with Values.

Here is how the Surface area of fin given convection coefficient equation looks like with Units.

Here is how the Surface area of fin given convection coefficient equation looks like.

348.4733 = \frac{(\frac{2 \cdot 3.1416 \cdot 35 \cdot 12000}{14}) - 0.32}{0.54}

348.4733m² = \frac{(\frac{2W/m²*K \cdot 3.1416 \cdot 35m \cdot 12000mm}{14W/m²*K}) - 0.32m²}{0.54}

348.4733 = \frac{(\frac{2 \cdot 3.1416 \cdot 35 \cdot 12000}{14}) - 0.32}{0.54}

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Surface area of fin given convection coefficient Solution

Follow our step by step solution on how to calculate Surface area of fin given convection coefficient?

FIRST Step Consider the formula

A s = \frac{(\frac{h ia \cdot π \cdot d i \cdot h c}{h oe}) - AB}{η}

Next Step Substitute values of Variables

∴

A s = \frac{(\frac{2W/m²*K \cdot π \cdot 35m \cdot 12000mm}{14W/m²*K}) - 0.32m²}{0.54}

Next Step Substitute values of Constants

∴

A s = \frac{(\frac{2W/m²*K \cdot 3.1416 \cdot 35m \cdot 12000mm}{14W/m²*K}) - 0.32m²}{0.54}

Next Step Convert Units

∴

A s = \frac{(\frac{2W/m²*K \cdot 3.1416 \cdot 35m \cdot 12m}{14W/m²*K}) - 0.32m²}{0.54}

Next Step Prepare to Evaluate

∴

A s = \frac{(\frac{2 \cdot 3.1416 \cdot 35 \cdot 12}{14}) - 0.32}{0.54}

Next Step Evaluate

∴

A s = 348.473257806273m²

LAST Step Rounding Answer

∴

A s = 348.4733m²

Surface area of fin given convection coefficient 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

Convection coefficient based on inside area

Convection coefficient based on inside area is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat.

Symbol: h_ia

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Convection coefficient based on inside area

Inner Diameter

The Inner Diameter is the diameter of inner circle of circular hollow shaft.

Symbol: d_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Diameter

Height of Crack

Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.

Symbol: h_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Crack

Effective convection coefficient on outside

Effective convection coefficient on outside as the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat.

Symbol: h_oe

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Effective convection coefficient on outside

Bare Area

Bare area of fin over the fin leaving fin base.

Symbol: AB

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Bare Area

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.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fin Efficiency

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 in Convection Coefficient category

Go Height of tube tank given convection coefficient

h c = \frac{((η \cdot A s) + AB) \cdot h oe}{π \cdot h ia \cdot d i}

Go Inner diameter of tube given convection coefficient

d i = \frac{((η \cdot A s) + AB) \cdot h oe}{h ia \cdot π \cdot h c}

How to Evaluate Surface area of fin given convection coefficient?

Surface area of fin given convection coefficient evaluator uses Surface Area = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Fin Efficiency to evaluate the Surface Area, The Surface area of fin given convection coefficient formula is defined as the area on the surface of the fin required for the effective heat transfer. Surface Area is denoted by A_s symbol.

How to evaluate Surface area of fin given convection coefficient using this online evaluator? To use this online evaluator for Surface area of fin given convection coefficient, enter Convection coefficient based on inside area (h_ia), Inner Diameter (d_i), Height of Crack (h_c), Effective convection coefficient on outside (h_oe), Bare Area (AB) & Fin Efficiency (η) and hit the calculate button.

FAQs on Surface area of fin given convection coefficient

What is the formula to find Surface area of fin given convection coefficient?

The formula of Surface area of fin given convection coefficient is expressed as Surface Area = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Fin Efficiency. Here is an example- 348.4733 = (((2*pi*35*12)/(14))-0.32)/0.54.

How to calculate Surface area of fin given convection coefficient?

With Convection coefficient based on inside area (h_ia), Inner Diameter (d_i), Height of Crack (h_c), Effective convection coefficient on outside (h_oe), Bare Area (AB) & Fin Efficiency (η) we can find Surface area of fin given convection coefficient using the formula - Surface Area = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Fin Efficiency. This formula also uses Archimedes' constant .

Can the Surface area of fin given convection coefficient be negative?

No, the Surface area of fin given convection coefficient, measured in Area cannot be negative.

Which unit is used to measure Surface area of fin given convection coefficient?

Surface area of fin given convection coefficient 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 Surface area of fin given convection coefficient can be measured.

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Surface area of fin given convection coefficient Formula

Surface area of fin given convection coefficient Example

Surface area of fin given convection coefficient Solution

Surface area of fin given convection coefficient Formula Elements

Other formulas in Convection Coefficient category

How to Evaluate Surface area of fin given convection coefficient?

FAQs on Surface area of fin given convection coefficient

Variable Name