Efficient Iterative Method for Investigation of Convective–Radiative Porous Fin with Internal Heat Generation Under a Uniform Magnetic Field

Oguntala, George; Sobamowo, M. G.; Abd‐Alhameed, Raed A.; Jones, S. M.

doi:10.1007/s40819-018-0592-9

Cited by 19 publications

(14 citation statements)

References 34 publications

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“…Different methodologies including analytical, numerical, and experimental have been reported in the literature on heat transfer enhancement using nanofluids, porous media, geometry, and heat load and surface roughness . Montgomery used FloTherm to computationally investigate the effect of particle deposition on the efficiency of a solid pin fin array.…”

Section: Introductionmentioning

confidence: 99%

Effects of particle fouling and magnetic field on porous fin for improved cooling of consumer electronics

2019

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The combined effect of particulate fouling and magnetic field on the efficiency of a convective-radiative porous fin heatsink with temperature-dependent thermal conductivity is presented. The developed thermal models are solved using differential transformation method. The effects of thermal conductivity, porosity, convection, radiation parameter, and thermal fouling number on the fin thermal efficiency are investigated. The presence of thermal fouling on the surface of the fin is shown to increase the temperature distribution. The presence of particle deposition on the fin surface significantly decreases the rate of heat transfer as additional thermal resistance of the fouling layer decreases the thermal performance of porous fin heatsink. Moreover, the fin efficiency decreases as the value of fouled Biot, Darcy, radiation number, and thermogeometric parameter increases. It is established that M f < M c , which indicates that the efficiency of the fouled fin is greater than the efficiency of the clean fin. Furthermore, the result of the present study is validated with the established results of Chebyshev spectral collocation method and fourth-order Runge-Kutta with shooting method and an error margin of 0.000000023 is established.K E Y W O R D S differential transformation method, particle fouling, porous fin, thermal analysis

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Section: Introductionmentioning

confidence: 99%

Effects of particle fouling and magnetic field on porous fin for improved cooling of consumer electronics

2019

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“…Hatami et al 9 used three methods namely the least square method (LSM), differential transform method (DTM), collocation method (CM) to solve simultaneously the rectangular porous fin with different materials. Oguntala et al 10 analyzed the rectangular porous fin with Daftardar‐Gejiji and Jafari method (DJM) and for numerical validation, they used the fourth‐order Runge–Kutta method. A comparative analytical study between straight and exponential porous fin based on modified Bessel function is proposed by Turkyilmazoglu 11 .…”

Section: Introductionmentioning

confidence: 99%

Analytical and numerical solution of the longitudinal porous fin with multiple power‐law‐dependent thermal properties and magnetic effects

Roy¹,

Mondal

Raj³

2021

Heat Trans

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The present study is concentrated on the application of electric and magnetic fields on the longitudinal porous fin with power‐law‐dependent heat transfer coefficient, surface emissivity, and heat generation. The porosity parameter controls the amount of empty spaces or voids in the porous fin and its practical value lies in the range 0 ∠ ϕ ∠ 1. In industrial application, the heat transfer coefficient is governed by a power law and its specific value defines a certain heat transfer process. The heat generation and surface emissivity of the longitudinal porous fin are assumed to be varied according to the power law and the whole fin is under the influence of an external electric field. The resulting nonlinear equation is solved by the classical Adimian decomposition method (ADM) and the obtained solutions are verified further by the finite difference method (FDM). It has been found that both ADM and FDM are in good agreement for lower values of thermophysical parameters. The effects of power index of heat generation, surface emissivity, and heat transfer coefficient parameter on the temperature distribution, heat flux, and efficiency are analyzed at different values of the porosity parameter comprehensively.

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“…However, when the objective is to evaluate either one or more unknown quantities from the limited observations available from any system, then the phenomenon is termed as inverse analysis [7 ]. Furthermore, it has been observed that an enaction of the magnetic field enhances the fluid velocity within the perforations and eventually leads to heat transfer and efficiency enhancements of the overall system [8 ].…”

Section: Introductionmentioning

confidence: 99%

Estimating magnetic field strength in a porous fin from a surface temperature response

Das

Kundu

2020

Electron. lett.

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This Letter demonstrates a non‐destructive prediction methodology for determining the necessary magnetic field to be imposed in a porous fin satisfying a particular heat generation occurring within an electronic device. For the first time, all possible kinds of heat transfer have been incorporated here, which were otherwise ignored in other published studies of a similar kind. Just observing the surface thermal response, golden section search (GSS) solver, in conjunction with a forward numerical scheme, has been used in this work to determine the strength of the magnetic field. Estimations are done for various levels of additive white Gaussian noise and satisfactory reconstructions are noted for noise level even up to 12%. The numerical method has been convincingly validated with other schemes of the published literature. Sensitivity analysis reveals that the temperature distribution is per se a strong function of the fin porosity and governed by a mutual trade‐off between the heat generation rate and the imposed magnetic field. The results obtained from the present analysis using GSS are proposed to offer assistance to design efficient porous fin based heat transfer surfaces for providing safety and better cooling in addition to a considerable weight reduction of the system.

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Efficient Iterative Method for Investigation of Convective–Radiative Porous Fin with Internal Heat Generation Under a Uniform Magnetic Field

Cited by 19 publications

References 34 publications

Effects of particle fouling and magnetic field on porous fin for improved cooling of consumer electronics

Effects of particle fouling and magnetic field on porous fin for improved cooling of consumer electronics

Analytical and numerical solution of the longitudinal porous fin with multiple power‐law‐dependent thermal properties and magnetic effects

Estimating magnetic field strength in a porous fin from a surface temperature response

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