A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity

Numerical experiments involving heat transfer were performed to analyze the influence of both fin thermo-geometric parameter and cooling boundary conditions on the temperature distribution and the efficiency of convective cooled inhomogeneous rectangular fin. The inhomogeneity of the fin is due to both temperature dependent thermal conductivity and convection heat coefficients. The analysis was facilitated by the use of the differential transformation method, which can solve nonlinear differential equation. A specific application is first made for temperature/efficiency homogeneous fin predictions and the results are in excellent agreement with standard exact results. Predictions of inhomogeneous fin temperature and efficiency for three different convection conditions are then performed. The thermo-geometric parameter range for numerical experiments was from 0.0 to 1.0. The results reveal that the thermo-geometric parameter plays a great role in the amount of fin temperature distribution and efficiency. The temperature distribution within the fin is low for high thermo-geometric parameter value and increases rapidly for large values of this parameter. For geometric parameter greater than 0.3, the use of rectangular fin will be optimal for heated or cooled process having heat transfer coefficient increased with increased temperature as generally accounted in laminar or turbulent natural convection. On the other hand, the efficiency of the inhomogeneous fin does not depend on cooling conditions when the thermo-geometric parameter is less than 0.3.

show abstract

“…The differential transform of the original function f(x) can be expressed as follow (Arslanturk, 2005) …”

Section: Basic Concept Of the Differential Transform Methodsmentioning

confidence: 99%

Thermo-Geometric Parameter Effects on Convectively Cooled Inhomogeneous Rectangular Fin

Kamdem¹,

Lemoubou²,

Bogning³

2017

Frontiers in Heat and Mass Transfer

View full text Add to dashboard Cite

show abstract

“…Here, the thermal conductivity of the fin material is assumed to be a linear function of temperature, so according to (see [4], [5], [6], and [7])…”

Section: Mathematical Modelmentioning

confidence: 99%

“…A simplified solution for the efficiency and optimization of fin with temperature-dependent thermal conductivity was studied by Bouaziz et al [3]. Cihat [4] used Adomian Decomposition Method and Rajabi [5] used Homotopy Perturbation method to find the fin efficiency of convective straight fins with temperature-dependent thermal conductivity and to determine the temperature distribution within the fin. Coskun et al [6] used Variational iteration method to study the analysis of convective straight and radial fins with temperature-dependent thermal conductivity and compared their results with finite element analysis.…”

Section: Introductionmentioning

confidence: 99%

A Study on Temperature-Distribution and Fin Efficiency of Convective Straight Fins With Temperature Dependent Thermal Conductivity of Fractional Order Energy Balance Equation by Using Adomian Decomposition Sumudu Transform Method

Patel¹,

Meher²

2016

Int. J. of Pure and Appl. Math.

View full text Add to dashboard Cite

In this study, an attempt has been made to fractionalize the governing energy balance equation and Adomian decomposition Sumudu transform method (ADSTM) is used to solve the nonlinear fractional order energy balance equation to find the temperature distribution and to check the efficiency of convective straight fin with temperature dependent thermal conductivity. The thermal conductivity of the fin material is assumed as a linear function of temperature to find the temperature distribution for different values of thermal conductivity and thermo-geometric fin parameters for fractional as well as for integer order energy balance equation. Finally, the obtained ADSTM results has been compared with Variational Iteration Method (VIM) (Coskun et al., 2008) and Numerical method to check the accuracy of the purposed method.

show abstract

“…A few years later, Campo and Spaulding [3] applied the method of successive approximation to predict the thermal behaviour of uniform circumferential fins. Chiu and Chen [4] and Arslanturk [5] adopted the Adomian decomposition Method (ADM) to obtain the temperature distribution in a pure convection fin with variable thermal conductivity. The same problem was also solved by Ganji [6] with the aid of the homotopy perturbation method originally proposed by He [7].…”

Section: Introductionmentioning

confidence: 99%

Heat transfer study in a convective-radiative fin with temperature-dependent thermal conductivity and magnetic field using variation parameters method

Sobamowo

Jayesimi

Femi-Oyetoro

2017

J. Appl. Math. Comput. Mech.

View full text Add to dashboard Cite

Abstract. In this work, a heat transfer study is carried out in a convective-radiative straight fin with temperature-dependent thermal conductivity and a magnetic field using the variation of parameters method. The developed heat transfer model is used to analyze the thermal performance, establish the optimum thermal design parameters and investigate the effects of thermo-geometric parameters and non-linear thermal conductivity parameters on the thermal performance of the fin. The results obtained are compared with the results in literature and good agreements are found. The analysis can serve as basis for comparison of any other method of analysis of the problem and it also provides a platform for improvement in the design of fin in heat transfer equipment. MSC 2010: 35A15

show abstract

A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity

Cited by 141 publications

References 14 publications

Thermo-Geometric Parameter Effects on Convectively Cooled Inhomogeneous Rectangular Fin

Thermo-Geometric Parameter Effects on Convectively Cooled Inhomogeneous Rectangular Fin

A Study on Temperature-Distribution and Fin Efficiency of Convective Straight Fins With Temperature Dependent Thermal Conductivity of Fractional Order Energy Balance Equation by Using Adomian Decomposition Sumudu Transform Method

Heat transfer study in a convective-radiative fin with temperature-dependent thermal conductivity and magnetic field using variation parameters method

Contact Info

Product

Resources

About