Absolute maximum heat transfer rendered by straight fins with quarter circle profile using Finite Element Analysis

Campo, Antônio; Celentano, Diego J.

doi:10.1016/j.applthermaleng.2016.05.126

Cited by 8 publications

(7 citation statements)

References 27 publications

(37 reference statements)

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“…Therefore, from Eqs. (26)- (27), we conclude that the boundary conditions (22) and (24) hold. Furthermore, the second derivative of the reformed version of Chebyshev polynomials of the rst kind are given byT…”

Section: Reformed Version Of Chebyshev Polynomialsmentioning

confidence: 57%

“…Enhancement of heat transfer employing ns is important in a multitude of heat exchange equipment [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. It is clear from the literature review that the research has been greatly focused on the theoretical and experimental thermal analysis of both solid ns and porous ns with different pro les and thermophysical properties due to wide range of applications [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34], also see the refs [35][36][37][38][38][39][40][41][42][43][44] to receive more information.…”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

“…for concave parabolic n. It is worth to mention here that Θ M (x) automatically satisfy boundary conditions (22) and (24). Now, de ne the following optimization problems…”

Section: Corresponding Optimization Problemmentioning

confidence: 99%

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Heat transfer from convecting-radiating fin through optimized Chebyshev polynomials with interior point algorithm

Shivanian

Keshtkar

Navidi

2019

Nonlinear Engineering

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In this paper, the problem of determining heat transfer from convecting-radiating fin of triangular and concave parabolic shapes is investigated.We consider one-dimensional, steady conduction in the fin and neglect radiative exchange between adjacent fins and between the fin and its primary surface. A novel intelligent computational approach is developed for searching the solution. In order to achieve this aim, the governing equation is transformed into an equivalent problem whose boundary conditions are such that they are convenient to apply reformed version of Chebyshev polynomials of the first kind. These Chebyshev polynomials based functions construct approximate series solution with unknown weights. The mathematical formulation of optimization problem consists of an unsupervised error which is minimized by tuning weights via interior point method. The trial approximate solution is validated by imposing tolerance constrained into optimization problem. Additionally, heat transfer rate and the fin efficiency are reported.

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Section: Reformed Version Of Chebyshev Polynomialsmentioning

confidence: 57%

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

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Heat transfer from convecting-radiating fin through optimized Chebyshev polynomials with interior point algorithm

Shivanian

Keshtkar

Navidi

2019

Nonlinear Engineering

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“…1,2,17 It is clear from the literature review that the research has been greatly focused on the theoretical and experimental thermal analysis of both solid fins and porous fins with different profiles and thermophysical properties due to wide range of applications. [3][4][5][6][7][8][9]12,[24][25][26][27][28] By assuming a constant thermal conductivity of the fin material, the dimensionless governing equation for pin fins with power-law type heat transfer coefficients reads 11,15,16,[18][19][20][21]23…”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

Exact, analytic temperature distributions of pin fins with constant thermal conductivity and power‐law type heat transfer coefficient

Shivanian

Campo

2017

Heat Trans. Asian Res.

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In this Technical Note, the problem of determining the temperature distribution in a pin fin with power-law heat transfer coefficients is addressed. It is demonstrated that the governing fin equation, a nonlinear second-order differential equation, is exactly solvable for the entire range of the exponent in the power-law heat transfer coefficients. The exact, closed-form analytical solutions in implicit form are convenient for physical interpretation and optimization for maximum heat transfer. Furthermore, it is proved that the exact solutions have three different structures: (1) dual in the range of ≤ −2, (2) unique or dual in the range of −2 < < −1, and (3) unique in the range of ≥ −1. Additionally, exact analytical expressions for the fin efficiency and the fin effectiveness are provided, both as a function of the dimensionless fin parameter for the gamma of under study.

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“…[2] They used the differential transformation method to solve the nonlinear heat transfer equation [3] in the longitudinal fin with temperaturedependent internal heat generation and thermal conductivity [4]. Campo y Celentano [5] briefly evaluated the maximum heat transfer attributes of the optimum straight ends with the quarter-circle profile proposed by Isachenko and others. In terms of three descriptive parameters: the thermal conductivity k, the average coefficient of convection h ~, and the semi-thickness at the base R. Dogan et al [6] numerically researched the natural convection in a stationary state and the radiation heat transfer of various thin sets of fins onto a horizontal baseplate.…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of fin heat transfer using simulation software

Buitrago¹,

Campo²,

Ochoa³

2018

ces

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Engineering education software has become a key factor in completing the objectives of an education program and achieving a student's results. This article presents the validation of the Profiles Fins program by comparing it with the results obtained by the already known Solidworks® that allows to determine the temperature distribution, heat transfer coefficient, efficiency and effectiveness of the different types of fins. The variation of these values with respect to their change in fin geometry was analyzed to give as results which present the best heat dissipation percentages.

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Absolute maximum heat transfer rendered by straight fins with quarter circle profile using Finite Element Analysis

Cited by 8 publications

References 27 publications

Heat transfer from convecting-radiating fin through optimized Chebyshev polynomials with interior point algorithm

Heat transfer from convecting-radiating fin through optimized Chebyshev polynomials with interior point algorithm

Exact, analytic temperature distributions of pin fins with constant thermal conductivity and power‐law type heat transfer coefficient

Comparative analysis of fin heat transfer using simulation software

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