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 = (((hia*pi*di*hc)/(hoe))-AB)/As
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 = (((hia*pi*di*hc)/(hoe))-AB)/As --> (((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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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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Convection Coefficient Calculators

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​ LaTeX ​ Go Inner Diameter = (((Fin Efficiency*Surface Area)+Bare Area)*Effective convection coefficient on outside)/(Convection coefficient based on inside area*pi*Height of Crack)
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​ LaTeX ​ 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
​ LaTeX ​ Go Surface Area = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Fin Efficiency
Overall heat transfer coefficient given convection coefficient
​ LaTeX ​ 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)

Fin efficiency given convection coefficient Formula

​LaTeX ​Go
Fin Efficiency = (((Convection coefficient based on inside area*pi*Inner Diameter*Height of Crack)/(Effective convection coefficient on outside))-Bare Area)/Surface Area
η = (((hia*pi*di*hc)/(hoe))-AB)/As

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, Fin efficiency given convection coefficient formula is defined as a measure of the effectiveness of a fin in enhancing heat transfer in a heat exchanger, considering the convection coefficient and the surface area of the fin. 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 (hia), Inner Diameter (di), Height of Crack (hc), Effective convection coefficient on outside (hoe), Bare Area (AB) & Surface Area (As) and hit the calculate button. Here is how the Fin efficiency given convection coefficient calculation can be explained with given input values -> 361.8761 = (((2*pi*35*12)/(14))-0.32)/0.52.

FAQ

What is Fin efficiency given convection coefficient?
Fin efficiency given convection coefficient formula is defined as a measure of the effectiveness of a fin in enhancing heat transfer in a heat exchanger, considering the convection coefficient and the surface area of the fin and is represented as η = (((hia*pi*di*hc)/(hoe))-AB)/As 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?
Fin efficiency given convection coefficient formula is defined as a measure of the effectiveness of a fin in enhancing heat transfer in a heat exchanger, considering the convection coefficient and the surface area of the fin 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 (hia), Inner Diameter (di), Height of Crack (hc), Effective convection coefficient on outside (hoe), Bare Area (AB) & Surface Area (As). 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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