scholarly journals Thermal Prediction of Convective-Radiative Porous Fin Heatsink of Functionally Graded Material Using Adomian Decomposition Method

Computation ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 19 ◽  
Author(s):  
George Oguntala ◽  
Gbeminiyi Sobamowo ◽  
Yinusa Ahmed ◽  
Raed Abd-Alhameed
Keyword(s):  
Functionally Graded Material ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Functionally Graded ◽  
Electronic Systems ◽  
Fin Efficiency ◽  
Porous Fin ◽  
Adomian Decomposition ◽  
Graded Material ◽  
Inhomogeneity Index

In recent times, the subject of effective cooling have become an interesting research topic for electronic and mechanical engineers due to the increased miniaturization trend in modern electronic systems. However, fins are useful for cooling various low and high power electronic systems. For improved thermal management of electronic systems, porous fins of functionally graded materials (FGM) have been identified as a viable candidate to enhance cooling. The present study presents an analysis of a convective–radiative porous fin of FGM. For theoretical investigations, the thermal property of the functionally graded material is assumed to follow linear and power-law functions. In this study, we investigated the effects of inhomogeneity index of FGM, convective and radiative variables on the thermal performance of the porous heatsink. The results of the present study show that an increase in the inhomogeneity index of FGM, convective and radiative parameter improves fin efficiency. Moreover, the rate of heat transfer in longitudinal FGM fin increases as β increases. The temperature prediction using the Adomian decomposition method is in excellent agreement with other analytical and method.

scholarly journals Modeling of vibration for functionally graded beams

2016 ◽  
Vol 14 (1) ◽  
pp. 661-672 ◽  
Author(s):  
Gülsemay Yiğit ◽  
Ali Şahin ◽  
Mustafa Bayram
Keyword(s):  
Initial Conditions ◽  
Adomian Decomposition Method ◽  
Expansion Method ◽  
Variable Coefficients ◽  
Functionally Graded ◽  
Fourier Series Expansion ◽  
Bernoulli Beam ◽  
Adomian Decomposition ◽  
Graded Material ◽  
Euler Bernoulli Beam

AbstractIn this study, a vibration problem of Euler-Bernoulli beam manufactured with Functionally Graded Material (FGM), which is modelled by fourth-order partial differential equations with variable coefficients, is examined by using the Adomian Decomposition Method (ADM).The method is one of the useful and powerful methods which can be easily applied to linear and nonlinear initial and boundary value problems. As to functionally graded materials, they are composites mixed by two or more materials at a certain rate. This mixture at a certain rate is expressed with an exponential function in order to try to minimize singularities from transition between different surfaces of materials as much as possible. According to the structure of the ADM in terms of initial conditions of the problem, a Fourier series expansion method is used along with the ADM for the solution of simply supported functionally graded Euler-Bernoulli beams. Finally, by choosing an appropriate mixture rate for the material, the results are shown in figures and compared with those of a standard (homogeneous) Euler-Bernoulli beam.

A reliable convergent Adomian decomposition method for heat transfer through extended surfaces

2018 ◽  
Vol 28 (11) ◽  
pp. 2551-2566 ◽  
Author(s):  
Mustafa Turkyilmazoglu
Keyword(s):  
Heat Transfer ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Solution Procedure ◽  
Published Data ◽  
Content Type ◽  
Fin Efficiency ◽  
Nonlinear Properties ◽  
Adomian Decomposition ◽  
Highly Nonlinear

PurposeThis paper aims to revisite the traditional Adomian decomposition method frequently used for the solution of highly nonlinear extended surface problems in order to understand the heat transfer enhancement phenomenon. It is modified to include a parameter adjusting and controlling the convergence of the resulting Adomian series.Design/methodology/approachIt is shown that without such a convergence control parameter, some of the published data in the literature concerning the problem are lacking accuracy or the worst is untrustful. With the proposed amendment over the classical Adomian decomposition method, it is easy to gain the range of parameters guaranteeing the convergence of the Adomian series.FindingsWith the presented improvement, the reliable behavior of the fin tip temperature and the fin efficiency of the most interested from practical perspective are easily predicted.Originality/valueThe relevant future studies involving the fin problems covering many physical nonlinear properties must be properly treated as guided in this paper, while the Adomian decomposition method is adopted for the solution procedure.

Thermal investigation of fully wet longitudinal porous fin of functionally graded material

2020 ◽  
Vol 30 (12) ◽  
pp. 5087-5101 ◽  
Author(s):  
G. Sowmya ◽  
Gireesha B.J. ◽  
Muhammad Ijaz Khan ◽  
Shaher Momani ◽  
Tasawar Hayat
Keyword(s):  
Functionally Graded Material ◽  
Functionally Graded ◽  
Graphical Form ◽  
Linear Quadratic ◽  
Content Type ◽  
Porous Fin ◽  
Graded Material ◽  
Heat Transfer Phenomenon ◽  
Fifth Order ◽  
Thermal Feature

Purpose The purpose of this study is to conduct a numerical computation to analyse the thermal attribute and heat transfer phenomenon of a fully wetted porous fin of a longitudinal profile. The fin considered is that of a functionally graded material (FGM). Based on the spatial dependency of thermal conductivity, three cases such as linear, quadratic and exponential FGMs are analysed. Design/methodology/approach The governing equations are nondimensionalised and solved by applying Runge-Kutta-Fehlberg fourth-fifth order technique. Findings The parametric investigation is executed to access the significance of the pertinent parameters on the thermal feature of the fin and heat transmit rate. The outcomes are portrayed in a graphical form. Originality/value No such study has yet been published in the literature.

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