Thermal analysis of a longitudinal fin with variable thermal properties by recursive formulation

Kou, Hong-Sen; Lee, Ji-Jen; Lai, Chien‐Chih

doi:10.1016/j.ijheatmasstransfer.2004.12.038

Cited by 13 publications

(5 citation statements)

References 9 publications

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“…variable. Kou et al [9] presented a recursive numerical formulation to calculate thermal performance of a fin divided into many sections in case of variable thermal properties.…”

Section: Introductionmentioning

confidence: 99%

A series solution of the fin problem with a temperature-dependent thermal conductivity

Kim

Huang

2006

J. Phys. D: Appl. Phys.

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In this work, a recursive algorithm to solve fin problems with temperature-dependent thermal conductivity is given. The algorithm is based on the Taylor series solution. The results are compared with the solutions obtained by the Adomian decomposition method (ADM) and with the numerical solutions as well. The results of the comparisons have shown that the ADM is just an approximation of the present study and the accuracy of the solution is also worse than the present algorithm.

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“…variable. Kou et al [9] presented a recursive numerical formulation to calculate thermal performance of a fin divided into many sections in case of variable thermal properties.…”

Section: Introductionmentioning

confidence: 99%

A series solution of the fin problem with a temperature-dependent thermal conductivity

Kim

Huang

2006

J. Phys. D: Appl. Phys.

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“…In most cases, these problems do not admit analytical solution, so these equations may be approximated using semi‐analytical techniques such as homotopy perturbation (HPM) 6–8, differential transform method (DTM) 9, 10, etc. 11–13.…”

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confidence: 99%

Analytical and numerical investigation of fin efficiency and temperature distribution of conductive, convective, and radiative straight fins

Ganji

Rahimi

Rahgoshay

et al. 2011

Heat Trans. Asian Res.

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In this study, fin efficiency, temperature distribution, and effectiveness of conductive, convective, and radiative straight fins with temperature dependent thermal conductivity are solved using the differential transformation method (DTM).The concept of differential transformation is briefly introduced, and then it is employed to derive the solutions of nonlinear governing equations of fins with highly nonlinear terms because of existing radiation in this study. The obtained results of DTM are compared with those of the Galerkin method (GM) and numerical boundary value problem method (BVP) to verify the accuracy of the proposed method. Furthermore, the effects of some physical appropriate parameters such as thermo-geometric fin parameters and thermal parameters are analyzed.

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“…Since this is a highly significant consideration, we should end up considering a nonlinear differential equation for modelling fin energy transfer performance and thermal optimization [1] [2]. Fin research has broadly developed into two major areas namely: optimal representation of fin profiles [3] [4] [5] [6] and consideration of thermal characteristics [7] [8] [9] [10]. In this regard, rectangular fins are the most studied, not only because of their relatively easier mathematical representation but also their uncomplicated manufacturing procedure.…”

Section: Introductionmentioning

confidence: 99%

Simplified Integral Calculations for Radial Fin with Temperature-Dependent Thermal Conductivity

Onyejekwe¹

2019

JAMP

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Numerical solution of a radiative radial fin with temperature-dependent thermal conductivity is presented. Calculations are implemented along the lines of a boundary integral technique coupled with domain discretization. Localized solutions of the nonlinear governing differential equation are sought on each element of the problem domain after enforcing inter-nodal connectivity as well as the boundary conditions for the dependent variables. A finite element-type assembly of the element equations and matrix solution yield the scalar profile. Comparison of the numerical results with those found in literature validates the formulation. The effects of such problem parameters as radiation-sink temperature, thermal conductivity, radiation-conduction fin parameter, volumetric heat generation, on the scalar profile were found to be in conformity with the physics of the problem. We also observed from this study that the volumetric heat generation plays a significant role in the overall heat transfer activity for a fin. For relatively high values of internal heat generation, a situation arises where a greater percentage of this energy can not escape to the environment and the fin ends up gaining energy instead of losing it. And the overall fin performance deteriorates. The same can also be said for the radiation-conduction parameter ψ , whose increases can only give physically realistic results below a certain threshold value.

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Thermal analysis of a longitudinal fin with variable thermal properties by recursive formulation

Cited by 13 publications

References 9 publications

A series solution of the fin problem with a temperature-dependent thermal conductivity

A series solution of the fin problem with a temperature-dependent thermal conductivity

Analytical and numerical investigation of fin efficiency and temperature distribution of conductive, convective, and radiative straight fins

Simplified Integral Calculations for Radial Fin with Temperature-Dependent Thermal Conductivity

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