Fin efficiency given convection coefficient Calculator

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Transverse Fin Heat Exchanger

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Convection Coefficient

✖Convection coefficient based on inside area is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat.ⓘ Convection coefficient based on inside area [h_ia]			+10% -10%
✖The Inner Diameter is the diameter of inner circle of circular hollow shaft.ⓘ Inner Diameter [d_i]			+10% -10%
✖Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.ⓘ Height of Crack [h]			+10% -10%
✖Effective convection coefficient on outside as the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat.ⓘ Effective convection coefficient on outside [h_oe]			+10% -10%
✖Bare area of fin over the fin leaving fin base.ⓘ Bare Area [AB]			+10% -10%
✖Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.ⓘ Surface Area [A_s]			+10% -10%

✖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.ⓘ Fin efficiency given convection coefficient [η]

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Formula

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Fin efficiency given convection coefficient

Formula

`"η" = ((("h"_{"ia"}*pi*"d"_{"i"}*"h")/("h"_{"oe"}))-"AB")/"A"_{"s"}`

Example

`"361.8761"=((("2W/m²*K"*pi*"35m"*"12000mm")/("14W/m²*K"))-"0.32m²")/"0.52m²"`

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Fin efficiency given convection coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fin Efficiency = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Surface Area
η = (((h_ia*pi*d_i*h)/(h_oe))-AB)/A_s
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Convection coefficient based on inside area - (Measured in Watt per Square Meter per Kelvin) - Convection coefficient based on inside area is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat.
Inner Diameter - (Measured in Meter) - The Inner Diameter is the diameter of inner circle of circular hollow shaft.
Height of Crack - (Measured in Meter) - Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
Effective convection coefficient on outside - (Measured in Watt per Square Meter per Kelvin) - Effective convection coefficient on outside as the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat.
Bare Area - (Measured in Square Meter) - Bare area of fin over the fin leaving fin base.
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.

STEP 1: Convert Input(s) to Base Unit

Convection coefficient based on inside area: 2 Watt per Square Meter per Kelvin --> 2 Watt per Square Meter per Kelvin No Conversion Required
Inner Diameter: 35 Meter --> 35 Meter No Conversion Required
Height of Crack: 12000 Millimeter --> 12 Meter (Check conversion here)
Effective convection coefficient on outside: 14 Watt per Square Meter per Kelvin --> 14 Watt per Square Meter per Kelvin No Conversion Required
Bare Area: 0.32 Square Meter --> 0.32 Square Meter No Conversion Required
Surface Area: 0.52 Square Meter --> 0.52 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = (((h_ia*pi*d_i*h)/(h_oe))-AB)/A_s --> (((2*pi*35*12)/(14))-0.32)/0.52

Evaluating ... ...

η = 361.876075414207

STEP 3: Convert Result to Output's Unit

361.876075414207 --> No Conversion Required

FINAL ANSWER

361.876075414207 ≈ 361.8761 <-- Fin Efficiency

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Heat exchanger » Transverse Fin Heat Exchanger » Convection Coefficient » Fin efficiency given convection coefficient

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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National Institute Of Technology (NIT), Hamirpur

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< 10+ Convection Coefficient Calculators

Bare area over fin leaving fin base given convection coefficient

Go Bare Area = ((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-(Fin Efficiency*Surface Area)

Inner diameter of tube given convection coefficient

Go Inner Diameter = (((Fin Efficiency*Surface Area)+Bare Area)*Effective convection coefficient on outside)/(Convection coefficient based on inside area*pi*Height of Crack)

Height of tube tank given convection coefficient

Go Height of Crack = (((Fin Efficiency*Surface Area)+Bare Area)*Effective convection coefficient on outside)/(pi*Convection coefficient based on inside area*Inner Diameter)

Surface area of fin given convection coefficient

Go Surface Area = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Fin Efficiency

Convection Coefficient based on Inside Area

Go Convection coefficient based on inside area = (((Fin Efficiency*Surface Area)+Bare Area)*Effective convection coefficient on outside)/(pi*Inner Diameter*Height of Crack)

Fin efficiency given convection coefficient

Go Fin Efficiency = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Surface Area

Effective convection coefficient on outside given convection coefficient

Go Effective convection coefficient on outside = (Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/((Fin Efficiency*Surface Area)+Bare Area)

Overall heat transfer coefficient given convection coefficient

Go Overall Heat Transfer Coefficient = (Convection coefficient based on inside area*Effective Convection Coefficient on inside)/(Convection coefficient based on inside area+Effective Convection Coefficient on inside)

Effective convection coefficient on outside

Go Effective convection coefficient on outside = (Convection Coefficient Outside Tubes*Fouling Factor on Outside)/(Convection Coefficient Outside Tubes+Fouling Factor on Outside)

Effective convection coefficient on inside

Go Effective Convection Coefficient on inside = (Convection Coefficient inside Tubes*Fouling factor on inside)/(Convection Coefficient inside Tubes+Fouling factor on inside)

Fin efficiency given convection coefficient Formula

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 efficiency given convection coefficient?

Fin efficiency given convection coefficient calculator 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 calculate 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 calculate Fin efficiency given convection coefficient using this online calculator? To use this online calculator for Fin efficiency given convection coefficient, enter Convection coefficient based on inside area (h_ia), Inner Diameter (d_i), Height of Crack (h), Effective convection coefficient on outside (h_oe), Bare Area (AB) & Surface Area (A_s) and hit the calculate button. Here is how the Fin efficiency given convection coefficient calculation can be explained with given input values -> 362.1782 = (((2*pi*35*12)/(14))-0.32)/0.52.

FAQ

What is Fin efficiency given convection coefficient?

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 and is represented as η = (((h_ia*pi*d_i*h)/(h_oe))-AB)/A_s or Fin Efficiency = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Surface 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, The Inner Diameter is the diameter of inner circle of circular hollow shaft, Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress, Effective convection coefficient on outside as the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat, Bare area of fin over the fin leaving fin base & Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.

How to calculate Fin efficiency given convection coefficient?

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 is calculated using Fin Efficiency = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Surface Area. To calculate Fin efficiency given convection coefficient, you need Convection coefficient based on inside area (h_ia), Inner Diameter (d_i), Height of Crack (h), Effective convection coefficient on outside (h_oe), Bare Area (AB) & Surface Area (A_s). With our tool, you need to enter the respective value for Convection coefficient based on inside area, Inner Diameter, Height of Crack, Effective convection coefficient on outside, Bare Area & Surface Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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