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Fin efficiency given convection coefficient Formula

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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. Check FAQs

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

η - Fin Efficiency?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?A_s - Surface Area?π - Archimedes' constant?

Fin efficiency given convection coefficient Example

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Here is how the Fin efficiency given convection coefficient equation looks like with Values.

Here is how the Fin efficiency given convection coefficient equation looks like with Units.

Here is how the Fin efficiency given convection coefficient equation looks like.

361.8761 = \frac{(\frac{2 \cdot 3.1416 \cdot 35 \cdot 12000}{14}) - 0.32}{0.52}

361.8761 = \frac{(\frac{2W/m²*K \cdot 3.1416 \cdot 35m \cdot 12000mm}{14W/m²*K}) - 0.32m²}{0.52m²}

361.8761 = \frac{(\frac{2 \cdot 3.1416 \cdot 35 \cdot 12000}{14}) - 0.32}{0.52}

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Fin efficiency given convection coefficient Solution

Follow our step by step solution on how to calculate Fin efficiency given convection coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η = \frac{(\frac{2W/m²*K \cdot π \cdot 35m \cdot 12000mm}{14W/m²*K}) - 0.32m²}{0.52m²}

Next Step Substitute values of Constants

∴

η = \frac{(\frac{2W/m²*K \cdot 3.1416 \cdot 35m \cdot 12000mm}{14W/m²*K}) - 0.32m²}{0.52m²}

Next Step Convert Units

∴

η = \frac{(\frac{2W/m²*K \cdot 3.1416 \cdot 35m \cdot 12m}{14W/m²*K}) - 0.32m²}{0.52m²}

Next Step Prepare to Evaluate

∴

η = \frac{(\frac{2 \cdot 3.1416 \cdot 35 \cdot 12}{14}) - 0.32}{0.52}

Next Step Evaluate

∴

η = 361.876075414207

LAST Step Rounding Answer

∴

η = 361.8761

Fin efficiency given convection coefficient Formula Elements

Variables

Constants

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

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

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

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 Fin efficiency given convection coefficient?

Fin efficiency given convection coefficient evaluator uses Fin Efficiency = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Surface Area to evaluate the Fin Efficiency, The Fin efficiency given convection coefficient formula is defined as the ratio of actual heat flow of the fin to that which would be obtained with a fin of constant temperature uniformly equal to the base surface temperature. Fin Efficiency is denoted by η symbol.

How to evaluate Fin efficiency given convection coefficient using this online evaluator? To use this online evaluator for Fin efficiency 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) & Surface Area (A_s) and hit the calculate button.

FAQs on Fin efficiency given convection coefficient

What is the formula to find Fin efficiency given convection coefficient?

The formula of Fin efficiency given convection coefficient is expressed as Fin Efficiency = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Surface Area. Here is an example- 361.8761 = (((2*pi*35*12)/(14))-0.32)/0.52.

How to calculate Fin efficiency 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) & Surface Area (A_s) we can find Fin efficiency given convection coefficient using the formula - Fin Efficiency = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Surface Area. This formula also uses Archimedes' constant .

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Fin efficiency given convection coefficient Formula

Fin efficiency given convection coefficient Example

Fin efficiency given convection coefficient Solution

Fin efficiency given convection coefficient Formula Elements

Other formulas in Convection Coefficient category

How to Evaluate Fin efficiency given convection coefficient?

FAQs on Fin efficiency given convection coefficient

Variable Name