Journal ArticleDOI
Heat transfer study on solid and porous convective fins with temperature-dependent heat generation using efficient analytical method
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In this paper, a semi-analytical method called differential transformation method (DTM) was used for solving the nonlinear temperature distribution equation in solid and porous longitudinal fin with temperature dependent internal heat generation.Abstract:
A simple and highly accurate semi-analytical method, called the differential transformation method (DTM), was used for solving the nonlinear temperature distribution equation in solid and porous longitudinal fin with temperature dependent internal heat generation. The problem was solved for two main cases. In the first case, heat generation was assumed variable by fin temperature for a solid fin and in second heat generation varied with temperature for a porous fin. Results are presented for the temperature distribution for a range of values of parameters appearing in the mathematical formulation (e.g. N, ɛ
G
, and G). Results reveal that DTM is very effective and convenient. Also, it is found that this method can achieve more suitable results in comparison to numerical methods.read more
Citations
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References
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Extended surface heat transfer
TL;DR: In this paper, the authors present an algorithm for Finned Array Assembly, which is based on linear transformations with simplified constraints and convection coefficients with real constraints, and they show that it achieves the optimum design of Radiating and Convecting-Radiating Fins.
Journal ArticleDOI
Thermal and flow analysis of microchannel heat sink (MCHS) cooled by Cu–water nanofluid using porous media approach and least square method
Mohammad Hatami,D.D. Ganji +1 more
TL;DR: In this paper, heat transfer of a fin shaped microchannel heat sink (MCHS) cooled by Cu-water nanofluid is investigated and temperature distribution in solid section (fin) and fluid section (Cu-water) are obtained by porous media approach and least square method and the results are compared with numerical procedure.
Journal ArticleDOI
Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity
Ganji Domairry,Mojtaba Fazeli +1 more
TL;DR: In this article, the authors used the homotopy analysis method to detect the fin efficiency of convective straight fins with temperature-dependent thermal conductivity, compared with those of the exact solution and Adomian's decomposition method.
Journal ArticleDOI
Heat transfer study through porous fins (Si3N4 and AL) with temperature-dependent heat generation
TL;DR: In this paper, three highly accurate and simple analytical methods, differential transformation method (DTM), Collocation Method (CM) and Least Square Method (LS), are applied for predicting the temperature distribution in a porous fin with temperature dependent internal heat generation.
Journal ArticleDOI
Thermal performance of circular convective–radiative porous fins with different section shapes and materials
Mohammad Hatami,D.D. Ganji +1 more
TL;DR: In this article, heat transfer and temperature distribution equations for circular convective-radiative porous fin are presented, where the authors used the least square method (LSM) and fourth order Runge-Kutta method (NUM) for predicting the temperature distribution in the porous fin.
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