A finite element method for heat transfer of power-law flow in channels with a transverse magnetic field

2013 ◽  
Vol 37 (8) ◽  
pp. 1121-1129 ◽  
Author(s):  
Huandi Shi ◽  
Ping Lin ◽  
Botong Li ◽  
Liancun Zheng
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Transverse Magnetic Field ◽  
Power Law ◽  
Transverse Magnetic ◽  
Element Method

Uniform Magnetic field (UMF) Effect on the Heat Transfer of a Porous Half-Annulus Enclosure Filled by Cu-Water Nanofluid Considering Heat Generation

2018 ◽  
Vol 14 (3) ◽  
pp. 187-198 ◽  
Author(s):  
Mohammad Hatami ◽  
Jingyu Jin ◽  
Hamid Reza Ashorynejad ◽  
Dengwei Jing
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Nusselt Number ◽  
Heat Generation ◽  
Uniform Magnetic Field ◽  
Hartmann Number ◽  
Outer Wall ◽  
Element Method

Background: In this work, the effect of a uniform magnetic field (UMF) on the natural convection heat transfer of Cu-water nanofluid in a porous half-annulus cavity is studied by finite element method, considering heat generation. The effects of four parameters (magnetic field angle (γ), Hartmann number (Ha), nanoparticles volume fraction (φ) and Rayleigh number (Ra)) on the local and average Nusselt numbers of outer wall have been investigated. Methods: Numerical Finite Element Method (FEM) based on FlexPDE commercial code was used to solve the described problems and the validation was also performed by Finite Difference Method (FDM) in previous studies. Results: It was found that by applying external magnetic field with a certain angle with respect to the geometry, the maximum local heat Nusselt number could shift to one side of outer wall and the shift is dependent on the angle of the imposed magnetic field. Conclusion: Our results also confirm that increasing the Hartmann number decreases the Nusselt number due to Lorentz force resulting from the presence of stronger magnetic field which slows down the fluid motion and in turn leads to a decreased heat transfer.

scholarly journals Optimum Design and Performance Analyses of Convective-Radiative Cooling Fin under the Influence of Magnetic Field Using Finite Element Method

2019 ◽  
Vol 2019 ◽  
pp. 1-19 ◽  
Author(s):  
M. G. Sobamowo
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Numerical Solutions ◽  
Radiative Cooling ◽  
Magnetic Parameters ◽  
Performance Analyses ◽  
And Performance ◽  
Element Method

In this study, the optimum design dimensions and performance analyses of convective-radiative cooling fin subjected to magnetic field are presented using finite element method. The numerical solutions are verified by the exact analytical solution for the linearized models using Laplace transform. The optimum dimensions for the optimum performance of the convection-radiative fin with variable thermal conductivity are investigated and presented graphically. Also, the effects of convective, radiative, and magnetic parameters as well as Biot number on the thermal performance of the cooling fin are analyzed using the numerical solutions. From the results, it is established that the optimum length of the fin and the thermogeometric parameter increases as the nonlinear thermal conductivity term increases. Further analyses also reveal that as the Biot number, convective, radiative, and magnetic parameters, increases, the rate of heat transfer from the fin increases and consequently improves the efficiency of the fin. Additionally, effects of the thermal stability values for the various multiboiling heat transfer modes are established. It is established that, in order to ensure stability and avoid numerical diffusion of the solution by the Galerkin finite element method, the thermogeometric parameter must not exceed some certain values for the different multiboiling heat transfer modes. It is hope that the present study will enhance the understanding of thermal response of solid fin under various factors and fin design considerations.

Heat Transfer in Liquid Metal at an Upward Flow in a Pipe in Transverse Magnetic Field

2020 ◽  
Vol 58 (3) ◽  
pp. 400-409
Author(s):  
N. A. Luchinkin ◽  
N. G. Razuvanov ◽  
I. A. Belyaev ◽  
V. G. Sviridov
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Liquid Metal ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
Upward Flow

scholarly journals Practical analysis of 3-D dynamic nonlinear magnetic field using time-periodic finite element method

1995 ◽  
Vol 31 (3) ◽  
pp. 1416-1419 ◽  
Author(s):  
T. Nakata ◽  
N. Takahashi ◽  
K. Fujiwara ◽  
K. Muramatsu ◽  
H. Ohashi ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element ◽  
Practical Analysis ◽  
Time Periodic ◽  
Element Method
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