A Numerical Simulation of non-uniform Magnetic Field Effect on Ferrofluid Flow in a Half-Annulus Enclosure with Sinusoidal Hot Wall

Date

2016-09-25

Author

Oglakkaya, F. S.
Bozkaya, Canan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

212
views

0
downloads

In this study, the problem of two-dimensional, laminar ferrofluid flow in a semi-annulus enclosure with sinusoidal hot wall is investigated numerically by using the dual reciprocity boundary element method. The flow is under the influence of a nodal magnetic source placed below the mid of the sinusoidal inner wall. The equations governing the present problem are obtained under the principles of ferrohydrodynamics and magnetohydrodynamics. The numerical computations are performed for various values of Rayleigh, Hartmann and magnetic numbers. The obtained results are depicted in terms of streamlines and isotherms which show that the effects of aforementioned physical parameters on the flow field and temperature distributions inside the enclosure.

Subject Keywords

Mathematics, Physics

URI

https://hdl.handle.net/11511/47707

DOI

https://doi.org/10.1063/1.4992750

Collections

Department of Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

A finite element variational multiscale method for the Navier-Stokes equations Volker, John; Kaya Merdan, Songül (Society for Industrial & Applied Mathematics (SIAM), 2005-01-01) This paper presents a variational multiscale method (VMS) for the incompressible Navier-Stokes equations which is defined by a large scale space L-H for the velocity deformation tensor and a turbulent viscosity nu(T). The connection of this method to the standard formulation of a VMS is explained. The conditions on L-H under which the VMS can be implemented easily and efficiently into an existing finite element code for solving the Navier - Stokes equations are studied. Numerical tests with the Smagorinsky ...
Application of the boundary element method to parabolic type equations Bozkaya, Nuray; Tezer-Sezgin, Münevver; Department of Mathematics (2010) In this thesis, the two-dimensional initial and boundary value problems governed by unsteady partial differential equations are solved by making use of boundary element techniques. The boundary element method (BEM) with time-dependent fundamental solution is presented as an efficient procedure for the solution of diffusion, wave and convection-diffusion equations. It interpenetrates the equations in such a way that the boundary solution is advanced to all time levels, simultaneously. The solution at a requi...
A study of laminar forced film condensation of vapor flowing in cross-flow direction through the annular space between two concentric cylinders Atılgan, Ahmet Koray; Yamalı, Cemil; Department of Mechanical Engineering (2006) In this study laminar forced film condensation of vapor flowing in cross-flow direction through the annular space between two concentric cylinders was investigated numerically. To achieve this, governing equations of the vapor and the condensate flow in cross-flow direction between two concentric cylinders were developed. After obtaining the equations in integral forms by using the finite difference technique the vapor boundary layer thicknesses on the inner and outer cylinders and the condensate layer thic...
An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows Demir, Medine (Elsevier BV, 2020-10-01) This report extends the mathematical support of a subgrid artificial viscosity (SAV) method to simulate the incompressible Navier-Stokes equations to better performing a linearly extrapolated BDF2 (BDF2LE) time discretization. The method considers the viscous term as a combination of the vorticity and the grad-div stabilization term. SAV method introduces global stabilization by adding a term, then anti-diffuses through the extra mixed variables. We present a detailed analysis of conservation laws, includin...
On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field Cibik, Aytekin; Eroglu, Fatma G.; Kaya Merdan, Songül (Springer Science and Business Media LLC, 2021-01-01) © 2021, Springer Science+Business Media, LLC, part of Springer Nature.This paper considers analytically and numerically the curvature-based stabilization method for double-diffusive natural convection flows in the presence of magnetic field. Unconditionally stable and optimally accurate second-order approximations are obtained. The impact of curvature stabilization on different flow fields are presented for several numerical test problems.

Citation Formats

F. S. Oglakkaya and C. Bozkaya, “A Numerical Simulation of non-uniform Magnetic Field Effect on Ferrofluid Flow in a Half-Annulus Enclosure with Sinusoidal Hot Wall,” 2016, vol. 1863, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47707.