Stabilizing subgrid FEM solution of the natural convection flow under high magnitude magnetic field on sinusoidal corrugated enclosure

Date

2019-7-7

Author

Aydın, S. H.
Tezer, Münevver

Metadata

Show full item record

Item Usage Stats

246
views

0
downloads

This study deals with the stabilized finite element solution of the steady, natural convection flow in an enclosure under a magnetic field applied perpendicular to the sinusoidal corrugated vertical walls of the enclosure, in terms of primitive variables. Several vertical sinusoidal functions are selected for the comparison. A stabilized FEM scheme called SSM is proposed in order to obtain a stable solution for the high values of problem parameters with a cheap computational cost. Proposed numerical scheme with linear elements is tested with the other well-known stabilization method called SUPG and also with the higher order element combinations (). Obtained solutions show a better accuracy of SSM compared to SUPG in terms of the norm and also show the well-known characteristics of the natural convection MHD flow. The decrease in the convection heat transfer with an increase in the size of the heat source placed in the bottom wall is observed.

Subject Keywords

Stabilizing subgrid, Natural convection, MHD, FEM

URI

https://hdl.handle.net/11511/28334

Journal

International Journal of Computer Mathematics

DOI

https://doi.org/10.1080/00207160.2019.1636232

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

FEM solution to natural convection flow of a micropolar nanofluid in the presence of a magnetic field TÜRK, ÖNDER; Tezer, Münevver (2017-03-01) The two-dimensional, laminar, unsteady natural convection flow in a square enclosure filled with aluminum oxide ()-water nanofluid under the influence of a magnetic field, is considered numerically. The nanofluid is considered as Newtonian and incompressible, the nanoparticles and water are assumed to be in thermal equilibrium. The mathematical modelling results in a coupled nonlinear system of partial differential equations. The equations are solved using finite element method (FEM) in space, whereas, the ...
Natural convection flow of a nanofluid in an enclosure under an inclined uniform magnetic field Tezer, Münevver; Bozkaya, Canan (2016-01-01) In this study, the natural convection in a square enclosure filled with water-based aluminium oxide (Al2O3) under the influence of an externally applied inclined magnetic field is considered numerically. The flow is steady, two-dimensional and laminar; the nanoparticles and water are assumed to be in thermal equilibrium. The governing equations are solved in terms of stream function-vorticity-temperature using both the dual reciprocity boundary element method and the finite element method to see the influen...
Magnetohydrodynamic convection of Cu-water nanofluid in a square cavity with a circular cylinder Bozkaya, Canan (2016-01-01) The hydromagnetic free convection of a Cu-water nanofluid in a square cavity involving an adiabatic circular cylinder is numerically investigated in the presence of an inclined uniform magnetic field. The left and right walls of the cavity are kept at constant hot and cold temperatures, respectively, while the horizontal walls are assumed to be adiabatic. The coupled nonlinear equations of mass, momentum and energy governing the present problem are discretized using the dual reciprocity boundary element met...
Numerical investigation of natural convection from vertical plate finned heat sinks Çakar, Kamil Mert; Albayrak, Kahraman; Department of Mechanical Engineering (2009) The steady-state natural convection from vertically placed rectangular fins is investigated numerically by means of a commercial CFD program called ICEPAK. The effects of geometric parameters of fin arrays on the performance of heat dissipation from fin arrays are examined. In order to simulate the different fin configurations and compare the results with literature, two experimental studies from literature are selected. Optimum fin spacing for both studies are found numerically and compared with experiment...
Stabilized FEM solution of MHD duct flow with conducting cracks in the insulation Tezer, Münevver; AYDIN, SALİM TUTGUN (2023-05-15) In this paper, the numerical solution of the fully developed liquid–metal magnetohydrodynamic (MHD) flow is given in a rectangular duct under an external oblique magnetic field with no-slip and insulated walls containing crack regions. The coupled MHD flow equations are transformed first into decoupled convection–diffusion equations in terms of the velocity and induced magnetic field. Thus, we apply the SUPG stabilization in the finite element method (FEM) solution procedure for high values of Hartmann numb...

Citation Formats

S. H. Aydın and M. Tezer, “Stabilizing subgrid FEM solution of the natural convection flow under high magnitude magnetic field on sinusoidal corrugated enclosure,” International Journal of Computer Mathematics, pp. 1–11, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28334.