## 2.1. Fin’s efficiency and effectiveness

The fin efficiency is defined as the ratio of the heat transfer to the fin to the heat transfer to an ideal fin. ηth= qfin hAfin(Tb−T∞), Tf=T∞,and Afin=2Ac+Atip (Square and Recatngular ) 1.35 Atip=t×W Fig. 2.4. Rectangular Fin For cylindrical: Afin=πDL+ πD2 4 From Eq.(1.29 ), the heat transfer to the fin is at x =0 yields qfin=−kAc2M (Tt−T∞)+(T∞−Tb)e−ML

## Analytical Solutions for Steady Heat Transfer in ...

May 21, 2013 · Fin Efficiency. The heat transfer rate from a fin is given by Newton’s second law of cooling: Fin efficiency is defined as the ratio of the fin heat transfer rate to the rate that would be if the entire fin were at the base temperature and is given by (see e.g., ) In dimensionless variables, we have We consider the solutions , , , and and depict the fin efficiency in Figure 9.

## Efficiency and Effectiveness of Fins in Natural and Forced ...

The efficiency of a fin is the ratio of actual heat transfer from the fin surface to the heat dissipated if the whole surface is maintained at its best temperature.1. i.e, hfin = Actual heat transferred by the fin (Qfin)/ Maximum heat transferred from the whole surface (Qmax).

## What is the difference between the fin effectiveness and ...

Mar 20, 2018 · The fin efficiency is defined as the ratio of actual heat transfer rate from the fin to the ideal heat transfer rate from the fin if the entire fin were at base temperature, and its value is between 0 and 1. Fin effectiveness is defined as the ratio of heat transfer rate from a finned surface to the heat transfer rate from the same surface if there were no fins, and its value is expected to be greater than 1.

## Solved: Obtain a relation for the fin efficiency for a fin ...

Solutions for Chapter 3 Problem 118P: Obtain a relation for the fin efficiency for a fin of constant cross-sectional area Ac, perimeter p, length L, and thermal conductivity k exposed to convection to a medium at T„ with a heat transfer coefficient h, Assume the fins are sufficiently long so that the temperature of the fin at the tip is nearly Tx. Take the temperature of the fin at the base to be Tb and neglect heat transfer …

## A decomposition method for fin efficiency of convective ...

May 01, 2005 · The ADM provides an analytical solution in the form of an infinite power series. The fin efficiency of the straight fins with temperature-dependent thermal conductivity has been obtained as a function of thermo-geometric fin parameter and the thermal conductivity parameter describing the variation of the thermal conductivity.

## Solved: The fin efficiency is defined as the ratio of the ...

The fin efficiency is defined as the ratio of the actual heat transfer from the fin to. ( a) The heat transfer from the same fin with an adiabatic tip. ( b) The heat transfer from an equivalent fin which is infinitely long.

## Fin efficiency Article about fin efficiency by The Free ...

The fin efficiency is defined as the ratio of the actual heat transfer from the fin surface to the surrounding fluid while the whole fin is kept at the same temperature. Comparison of exact solutions for heat transfer in extended surfaces of different geometries.

## Evaluation of Fin Efficiency and Heat Transfer Coefficient ...

Theoritical fin efficiency, f η th uniform h non-uniform h NTU 0.1 1.0 1.7 2.5 0.5 0.6 0.7 0.8 0.9 1.0 Normalized fin temperature, T f * 0.5 0.6 0.7 0.8 0.9 1.0 Fin efficiency of heat exchanger, η HEX uniform h non-uniform h NTU f 0.1 1.0 1.7 2.5 (a) Theoretical fin efficiency, η th …Cited by: 1

## Define Fin efficiency and Fin effectiveness. Explain in ...

The efficiency of a fin is defined as the ratio of the actual heat transfer from the fin to that the heat that would be dissipated if whole surface of the fin is maintained at base temperature. ηfin=Actual heat transferred by the fin (Qfin)Maximum heat that would be transferred if whole surface of the fin is maintained at the base temeratureQmax)

The length of the fin is measured from the tip to the prime surface as shown in Figure 1. Also, we observe that fin temperature is higher when , that is, when heat transfer coefficient is higher than the thermal conductivity. Torabi, H. Ndlovu, Raseelo J. A simple fin is used in the apparatus which is attached to a rectangular duct, and it is further connected to the suction end of a blower. That is, we consider 4 with and. Get great contents delivered straight to your inbox, just a click away, Subscribe Now. B sinh m L. During the solution, the fin efficiency was determined using modified equations for plane fins, as suggested by Wang et al First Name. Fins are surfaces that extend from a hot object body to increase the rate of heat transfer to the surrounding fluid. Contents: Governing differential eqn — different boundary conditions — temp. Original function Transformed function. Download with free trial. Comparison of analytical and exact solutions. Exclusive 60 day trial to the world's largest digital library. L as small as possible. L vary from m. These finding could help in the design of fins. Votes Oldest. Likes The effects of some physical parameters such as the thermogeometric fin parameter and thermal conductivity gradient on temperature distribution are illustrated and explained. Figure Fundamental operations of the differential transform method. Thirumaleshwar formerly: Professor, Dept. In this section, we present solutions for the equation representing the heat transfer in a fin with rectangular profile and the thermal conductivity depending linearly on temperature. When the top cover of the fin is opened, it is used for natural convection process, while when the top cover is closed, and the blower is opened, the process is used for forced convection. Thermal conductivity is the tensor property of a medium which defines its heat conductive efficiency. References… contd. Enter your new password here. Mathematical Models We consider a longitudinal one dimensional fin of cross-sectional area. A well-documented review of heat transfer in extended surfaces is presented by Kraus et al. Critical heat flux can be defined as the point in the boiling curve where the nucleate film boiling converts Odibat, S. Explicit analytical expressions for the temperature profile, fin efficiency, and heat flux in a longitudinal fin are derived. Fin efficiency is used in determining the temperature over the entire length of fin. Toggle navigation. The effectiveness of the DTM is determined by comparing the exact and the analytical solutions. However, Moitsheki et al. Models arising in heat transfer through fins may contain temperature-dependent properties such as thermal conductivity and heat transfer coefficient. It is important in determining the geometry of fins. In press. In this section, we present solutions for equation heat transfer in a fin with convex parabolic profile and the thermal conductivity depending linearly on temperature. You just clipped your first slide! Malignant tertian malaria parasite, belongs to class a Plasmodium falciparum b P. Heat transfer.

Mechanical Education. Header Ads. Fin Effectiveness and Efficiency. Fin Effectiveness: 1. The thermal conductivity of materials for a given fin dimensions is determined by it. The rate of heat transfer can be calculated from the surface with and without using fins, by using fin effectiveness relationship. It is also used to determine the fin performance. Fin efficiency: 1. It is important in determining the geometry of fins. Total heat dissipation on the surface of fins can calculated by using fin efficiency relation. The actual amount of heat transfer for a given surface temperature is determined. Fin efficiency is used in determining the temperature over the entire length of fin. No comments. Subscribe to: Post Comments Atom. Your browser does not support JavaScript! About Tyres. Types Of Clutches. Lubricants: Types and Properties. Smoke Formation Mechanism. Self Shafting Transmission. Facebook Mech Engineering. Popular Posts. Advantages and Disadvantages of grinding operation. Advantages and Disadvantages of grinding operation Advantages and Disadvantages of grinding operation: In this article we wil Rotameter: Construction, working, advantages, disadvantages and applications. What is a Rotameter: Rotameter: Rotameter is a fluid flow rate measuring device which is also called a variable area meter. This de Advantages and disadvantages of soldering. Advantages and disadvantages of soldering Soldering Advantages and Disadvantages: In this article we will learn about Advantages Amazon Ad. Recent in Blog. Random Posts. Trending Topics Thank you For Visiting. If you don't find any article what you are looking for, Please Mail us: Mechanicalengineering50 gmail. Follow Me.

In particular, fins are used extensively in various industrial applications such as the cooling of computer processors, air conditioning, and oil carrying pipe lines. Moradi and H. Nejad, F. Following a similar approach given in Section 4. Instant access to millions of ebooks, audiobooks, magazines, podcasts, and more. Heat Transfer. The particular case of 10 when is referred to as the Maclaurin series expansion of and is expressed as The differential transform of is defined as follows: where is the original analytic function and is the transformed function. We consider the two distinct cases of the thermal conductivity as follows: a the power law with being a constant and b the linear function The dimensionless thermal conductivity given by the power law and the linear function of temperature is and , respectively. Heat Transfer. Log in with your credentials or Create an account. The fin is of length. With a fin cross-section equal to and a perimeter , the characteristic dimension in the transverse direction is For a circular fin, for example,. Cengel, Y. The thermal conductivity of some materials such as gallium nitride GaN and Aluminium Nitride AlN may be modeled by power law temperature dependency [ 29 , 30 ]. Post answer. Abstract Explicit analytical expressions for the temperature profile, fin efficiency, and heat flux in a longitudinal fin are derived. Real World Applications , vol. Now customize the name of a clipboard to store your clips. Raveshi, and S. You can change your ad preferences anytime. The authors are grateful to Professor D. Click here to subscribe: t. The end of the fin can have a different heat transfer coefficient, which we can call. The analytical solutions for this problem for different values of are given by. In press. The differential transform method DTM is employed to construct the analytical series solutions. L Aug. We consider a number of cases for the thermal conductivity and the heat transfer coefficient. Here and are fixed. This may seem a drastic simplification, and it needs some explanation. Sudarshan Bhalge. We Labmonk, some scientific researchers unite to design a platform for getting sources of different lab protocols and discuss various research related issues. Profile Status. L for the insulated-end fin reaches a value of about 2. These assumptions of the thermal properties are physical realistic. Both thermal conductivity and heat transfer coefficient are temperature dependent. Both thermal conductivity and heat transfer coefficient are given as functions of temperature. That is, given 4 with , and both heat transfer coefficient and thermal conductivity being power law functions of temperature, we construct analytical solutions. By posting your answer, you agree to the privacy policy and terms of service. This is an open access article distributed under the Creative Commons Attribution License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Materials: Electrical Heater. The length of the fin is measured from the tip to the prime surface as shown in Figure 1. Domairry and M. References A. We have noticed that DTM runs into difficulty when the exponent of the power law of the thermal conductivity is given by fractional values and also when the function is given in terms of fractional power law. Models arising in heat transfer through fins may contain temperature-dependent properties such as thermal conductivity and heat transfer coefficient. DTM Exact Error 0 0. Forced convection In forced convection, first of all, close the duct cover which is positioned over the fin, and then start the blower.

Fins are the extended surfaces that are used to raise the heat transfer rate by means of an increase in convection to or from the environment. The fins broaden the surface area and thus provides an economical and efficient solution of heat transfer problems in both natural and forced convection. The efficiency of a fin is the ratio of actual heat transfer from the fin surface to the heat dissipated if the whole surface is maintained at its best temperature. The concept of fin efficiency is based on the conduction along the fin and convection from or to the fin surface which causes reduction in temperature potential between the fin and the ambient fluid. This efficiency is a function of fin geometry, fin material, het transfer coefficient at the fin surface and fin tip boundary condition. A simple fin is used in the apparatus which is attached to a rectangular duct, and it is further connected to the suction end of a blower. An electrical heater is used to heat the one end of fin for proper heat transfer. When the top cover of the fin is opened, it is used for natural convection process, while when the top cover is closed, and the blower is opened, the process is used for forced convection. The main objective of this experiment is to determine the efficiency and effectiveness of fins in a natural and forced convection process. Materials: Electrical Heater. Dimmer Stat. Natural convection. First of all, open the duct cover which is positioned over the fin, and then with the help of the dimmer stat, adjust the voltage to 80 V which is supplied to the heater. Note down the required readings such as manometer readings and temperatures after it reached a steady state. Forced convection. In forced convection, first of all, close the duct cover which is positioned over the fin, and then start the blower. With the help of the dimmer stat, adjust the voltage to V which is supplied to the heater. The process of finding the efficiency and effectiveness of fins in a natural and forced convection system has been discussed. With the data analysis, it has been observed that the actual temperature is slightly less than the calculated value due to the effect of thermal radiation. Natural convection is the process of heat transfer through a fluid in the presence of bulk fluid motion by Thermal conductivity is the tensor property of a medium which defines its heat conductive efficiency. It also expresses the The fluid enters through the same end in a parallel flow heat exchanger and travels adjacent to each other Stefan Boltzman's law determines the total energy radiated by an object by using the value of its absolute temperature Critical heat flux can be defined as the point in the boiling curve where the nucleate film boiling converts Convection is the process of heat transfer using the movement of fluids. In forced convection, externally induced flow is used Production of alcohol from sugarcane Punit Tripathi. Bacterial growth curve cultivation of anaerobs Suman Kumar Mekap. We Labmonk, some scientific researchers unite to design a platform for getting sources of different lab protocols and discuss various research related issues. All rights reserved. Toggle navigation. Heat Transfer. Forced convection In forced convection, first of all, close the duct cover which is positioned over the fin, and then start the blower. Profile Status. Share this. Related Articles. Determination of Heat Transfer Coefficient in Natural Convention Heat Transfer Natural convection is the process of heat transfer through a fluid in the presence of bulk fluid motion by Determination of Thermal Conductivity of Composite Slab Heat Transfer Thermal conductivity is the tensor property of a medium which defines its heat conductive efficiency. Performance Test on Parallel Flow and Counter Flow Heat Exchanger Heat Transfer The fluid enters through the same end in a parallel flow heat exchanger and travels adjacent to each other Determination of Critical Heat Flux during Boiling Heat Transfer Heat Transfer Critical heat flux can be defined as the point in the boiling curve where the nucleate film boiling converts Background Requirements Procedure Conclusion References. Recent forum posts No topics yet! Follow Us. Download our app. Get Updates Subscribe our Telegram channel for regular updates. Click here to subscribe: t. Get great contents delivered straight to your inbox, just a click away, Subscribe Now. First Name. Email address. Log in with Facebook. Log in with your credentials or Create an account.