Least Square Method for Porous Fin in the Presence of Uniform Magnetic Field

Hoshyar, H.A.; Ganji, D.D.; Majidian, A.

doi:10.18869/acadpub.jafm.68.225.24245

Cited by 28 publications

(21 citation statements)

References 27 publications

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“…Therefore, the thermal performance of the fin is increased by the presence of the magnetic field. This is in agreement with the deduction from works of Razazadeh et al [37] and Hoshyar et al [38]. Table 1.…”

Section: Analytical Evaluation Of the Incomplete Elliptic Integralssupporting

confidence: 93%

Thermal Performance Analysis of Convective-Radiative Fin With Temperature-Dependent Thermal Conductivity in the Presence of Uniform Magnetic Field Using Partial Noether Method

Sobamowo¹

2018

Journal of Thermal Engineering

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In this paper, thermal performance of convective-radiative straight fin with temperature-dependent thermal conductivity in the presence of uniform magnetic field is analyzed using partial Noether method. The exact analytical solution is used to investigate the effects of magnetic field, convective, radiative, thermo-geometric and thermal conductivity (non-linear) parameters on the thermal performance of the fin. The results reveal that as the magnetic, convective and radiative parameters increase, the temperature of the fin decreases rapidly and by implication, the rate of heat transfer through the fin increases. The study provides a platform for comparison of results of any other method of analysis of the problem with the results of the exact analytical solutions in this paper. Also, such an analytical tool is valuable as a design and optimization approach for large scale (not necessarily in size) finned heat exchangers where each fin/row are analytically analyzed and where the surrounding fluid is influenced by a magnetic field.

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Section: Analytical Evaluation Of the Incomplete Elliptic Integralssupporting

confidence: 93%

Thermal Performance Analysis of Convective-Radiative Fin With Temperature-Dependent Thermal Conductivity in the Presence of Uniform Magnetic Field Using Partial Noether Method

Sobamowo¹

2018

Journal of Thermal Engineering

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“…Thus, from the parametric analysis, we established that increase in the magnetic field improves the fin efficiency due to an increase in convective heat transfer. This finding agrees with the works of [4,5]. The influence of convective heat transfer and magnetic field can be recorded either at a low or high-temperature process.…”

Section: Fin Optimizationsupporting

confidence: 93%

“…To this end, different authors have carried out various research on fin thermal performance. In [4] the method of least square is applied, whilst [5] applied the homotopy analysis method to study the effects of uniform magnetic field on the heat transfer characteristics of the rectangular fin. In [6] the spectral element method is applied, whilst in [7] the authors applied the forward and inverse solution to study the thermal performance of the fin under a conductive-convective-radiative environment.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Simultaneous Effects of Surface Roughness, Porosity, and Magnetic Field of Rough Porous Microfin Under a Convective–Radiative Heat Transfer for Improved Microprocessor Cooling of Consumer Electronics

Oguntala

Sobamowo

Eya

et al. 2019

IEEE Trans. Compon., Packag. Manufact. Technol.

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The ever-increasing demand for high-processing compact electronic systems has unequivocally called for improved microprocessor performance. However, increasing microprocessor performance requires increasing power and onchip power density, both of which are associated with increased heat dissipation. Electronic cooling using fins have been identified as a reliable cooling approach in miniaturized electronic systems. However, an investigation into the thermal behaviour of fin would help in the design of miniaturized, effective heatsinks for reliable microprocessor cooling. The aim of this paper is to investigate the simultaneous effects of surface roughness, porosity and magnetic field on the performance of a porous micro-fin under a convectiveradiative heat transfer mechanism. The developed thermal model considers variable thermal properties according to linear, exponential and power laws, and are solved using Chebychev spectral collocation method. A parametric study is carried out using the numerical solutions to establish the influences of porosity, surface roughness, and the magnetic field on the microfin thermal behaviour. The results of the simulation establish that thermal efficiency of the micro-fin is significantly affected by the porosity, magnetic field, geometric ratio, nonlinear thermal conductivity parameter, thermo-geometric parameter and the surface roughness of the micro-fin. Furthermore, the study establishes that the fin efficiency ratio which is the ratio of efficiency of the rough fin to the efficiency of the smooth fin is found to be greater than unity when the rough and smooth fins of equal geometrical, physical, thermal and material properties are subjected to the same operating condition. He is currently pursuing his PhD degree in Electrical Engineering at the University of Bradford, UK. His research interests include computational analysis, multi-user multi-service security, mobility management, network security, cryptography and information privacy.Raed Abd-Alhameed (M'02, S'13) is Professor of Electromagnetic and Radio Frequency Engineering at the University of Bradford, UK. He has long years' research experience in the areas of Radio Frequency, Signal Processing, propagations, antennas and electromagnetic computational techniques, and has published over 500 academic journal and conference papers; in addition, he is co-authors of four books and several book chapters. At the present he is the leader of Radio Frequency, Propagation, sensor design and Signal Processing; in addition to leading the Communications research group for years within the School of Engineering and Informatics, Bradford University, UK.

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“…In this view, Taklifi et al 14 have discussed the impact of MHD on the heat transfer from a porous rectangular fin fixed to a vertical constant temperature surface. Prediction of the temperature distribution in a porous fin with magnetic field involving Darcy's model is studied by Hoshyar et al 15 In the aforementioned studies, the authors have discussed heat transfer through fins by considering constant thermal conductivity, but thermal conductivity highly depends on temperature. Also, temperature-dependent thermal conductivity is more relevant in the systems having a large gradient of temperature.…”

Section: Introductionmentioning

confidence: 99%

Thermal performance of straight porous fin with variable thermal conductivity under magnetic field and radiation effects

Madhura

Babitha²,

Kalpana³

et al. 2020

Heat Trans

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The present numerical study reports the thermal performance of the straight porous fin with temperature-dependent thermal conductivity, radiation, and magnetic field effects. The heat transfer model comprising the Darcy's law for simulating flow with solid-fluid interactions in porous medium, Rosseland approximation for heat transfer through radiation, Maxwell equations for magnetic field effect and linearly varying temperature dependent thermal conductivity, results into highly nonlinear ordinary differential equation. The governing equation is solved using a finite difference scheme with suitable boundary conditions. The obtained solutions are physically interpreted by considering the impact of different nondimensional parameters on thermal performance, efficiency, and effectiveness of the system through plotted graphs. A detailed result with regard to the Nusselt number at the fin base is calculated. The results obtained are observed to be in excellent agreement with previous studies. From the study, it is observed that there is a significant effect on the thermal performance of the fin in the presence of porous constraints; also, results reveal that the nonlinear thermal conductivity parameter strengthens the thermal performance, efficiency, and effectiveness of the fin. Furthermore, the results of the study reveal that the rate of heat transfer of the fin increases with the increase in the magnetic parameter and radiation parameter.

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Least Square Method for Porous Fin in the Presence of Uniform Magnetic Field

Cited by 28 publications

References 27 publications

Thermal Performance Analysis of Convective-Radiative Fin With Temperature-Dependent Thermal Conductivity in the Presence of Uniform Magnetic Field Using Partial Noether Method

Thermal Performance Analysis of Convective-Radiative Fin With Temperature-Dependent Thermal Conductivity in the Presence of Uniform Magnetic Field Using Partial Noether Method

Investigation of Simultaneous Effects of Surface Roughness, Porosity, and Magnetic Field of Rough Porous Microfin Under a Convective–Radiative Heat Transfer for Improved Microprocessor Cooling of Consumer Electronics

Thermal performance of straight porous fin with variable thermal conductivity under magnetic field and radiation effects

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