Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment

Sobamowo, M. G.; Oguntala, George; Yinusa, A. A.

doi:10.1155/2019/7878564

Cited by 13 publications

(10 citation statements)

References 44 publications

(54 reference statements)

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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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“…The basic concept and the procedure of DTM for solving differential equations are outlined in previous works [22]. However, the DTM recursive relation for transforming models into another domain in an algebraic form is presented below:…”

Section: Basic Principle: Differential Transform Methods (Dtm)mentioning

confidence: 99%

“…Hikmah et al, et al [18] did an elementary study on the impact of tea dust geometry and size on its explosion using some food particles. Furthermore, the classical DTM, Multi-step DTM (MsDTM) as well as other approximate and total analytical schemes have been widely employed to solve different governing equations as applied to different research areas [19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Generalized dynamics on the penetration of two phase fuel spray using differential transform method

Ogunmola¹,

Yinusa²

2019

Eng. Appl. Sci. Lett.

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The penetration of fuel spray as a result of the mixture of fuel droplet and entrained air usually generate nonlinear models whose solutions are normally difficult to realize analytically. This present study presents general approximate analytical solution to such problem by employing Differential transform Method (DTM). At the level of two-phase flow, the spray droplets and the entrained air have the same flow velocity. In order to fully understand the process, the parameters present in the governing equations are carefully studied. The obtained solution employing DTM is verified with Numerical Runge-Kutta (RKF45) and also compared with similar past works. Furthermore, the acquired results for different ambient densities and injection velocities are depicted and discussed. The results illustrate that continuous increase in the initial velocity and orifice diameter cause a corresponding increase in spray penetration while an antonymous effect is noticed for an increased semi cone angle and density. This work will find vital applications in the optimization of systems whose operation are influence by the aforementioned spray penetration processes.

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“…Similar to Arslantürk 39 and Sobamowo et al, 40 the thermal conductivity of the fin material is assumed as follows: Case A: The linear function of temperature in variation with the fin length

k false(x false) = k_{o} false(1 + γ_{l} x false) .

Case B: Quadratic function of temperature in variation with the fin length

k false(x false) = k_{o} true(1 + γ_{q} x^{2} true) .

Case C: Exponential function of temperature in variation with the fin length

k false(x false) = k_{o} e^{γ_{i} x} .

…”

Section: Problem Formulationmentioning

confidence: 99%

Transient analysis of functionally graded material fin under the effect of Lorentz force using the integral transform method for improved electronic packaging

2020

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In the present work, transient analysis of longitudinal fin of functionally graded material under the influence of Lorentz force is considered. The governing equations of the linear, quadratic, and exponential functions are solved via Bessel, Legendre, and modified Bessel functions, respectively. The study investigates the effects of Lorentz force on the performance of the fin. The study shows that the transient response of the fin is lower in the linear law function compared with the exponential law function. The power law function shows significant energy‐saving capability than the linear class functionally graded material heatsink. Moreover, the thermal characteristic of the fin improves with an increase in the convective, radiative, magnetic field parameter, and nonhomogeneous index. The temperature prediction of the present study using the integral transform method is verified with the fourth‐order Runge‐Kutta method with an excellent agreement established.

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Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment

Cited by 13 publications

References 44 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

Generalized dynamics on the penetration of two phase fuel spray using differential transform method

Transient analysis of functionally graded material fin under the effect of Lorentz force using the integral transform method for improved electronic packaging

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