Effects of inclined magnetic field on mixed convection in a nanofluid filled double lid-driven cavity with volumetric heat generation or absorption using finite element method

2018 ◽  
Vol 56 (2) ◽  
pp. 484-501 ◽  
Author(s):  
Shafqat Hussain ◽  
Hakan F. Öztop ◽  
Khalid Mehmood ◽  
Nidal Abu-Hamdeh
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element ◽  
Mixed Convection ◽  
Heat Generation ◽  
Inclined Magnetic Field ◽  
Driven Cavity ◽  
Heat Generation Or Absorption ◽  
Volumetric Heat Generation ◽  
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 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

scholarly journals Nonconforming Finite Element Method Applied to the Driven Cavity Problem

2017 ◽  
Vol 21 (4) ◽  
pp. 1012-1038 ◽  
Author(s):  
Roktaek Lim ◽  
Dongwoo Sheen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Degrees Of Freedom ◽  
Nonconforming Finite Element ◽  
Element Space ◽  
Nonconforming Finite Element Method ◽  
Driven Cavity ◽  
Dirichlet Data ◽  
Minimal Modification ◽  
Element Method

AbstractA cheapest stable nonconforming finite element method is presented for solving the incompressible flow in a square cavity without smoothing the corner singularities. The stable cheapest nonconforming finite element pair based on P1×P0 on rectangularmeshes [29] is employed with a minimal modification of the discontinuous Dirichlet data on the top boundary, where is the finite element space of piecewise constant pressures with the globally one-dimensional checker-board pattern subspace eliminated. The proposed Stokes elements have the least number of degrees of freedom compared to those of known stable Stokes elements. Three accuracy indications for our elements are analyzed and numerically verified. Also, various numerous computational results obtained by using our proposed element show excellent accuracy.

Time-Domain Parallel Finite-Element Method for Fast Magnetic Field Analysis of Induction Motors

2013 ◽  
Vol 49 (5) ◽  
pp. 2413-2416 ◽  
Author(s):  
Yasuhito Takahashi ◽  
Tadashi Tokumasu ◽  
Masafumi Fujita ◽  
Takeshi Iwashita ◽  
Hiroshi Nakashima ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element ◽  
Time Domain ◽  
Induction Motors ◽  
Field Analysis ◽  
Magnetic Field Analysis ◽  
Parallel Finite Element ◽  
Element Method
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