DRBEM solution to ferrofluid flow and heat transfer in semi annulus enclosure in the presence of magnetic field

Date

2016-07-11

Author

Oğlakkaya, Fatma Sidre
Bozkaya, Canan

Metadata

Show full item record

Item Usage Stats

146
views

0
downloads

In this work, ferrofluid flow and heat transfer in a semicircular annulus enclosure filled with Fe3O4- water nanaofluid is studied in the presence of an externally applied magnetic field. The inner and outer circular walls are maintained at constant temperature and two straight boundaries at the bottom are considered adiabatic. The governing equations which are consistent with the principles of ferrohydrodynamics (FHD) and magnetohydrodynamics (MHD) are discretized by using the dual reciprocity boundary element method (DRBEM) with constant elements. The DRBEM aims to convert the given differential equations into boundary integral equations by the use fundamental solution of Laplace equation and by treating the nonlinear terms with radial basis function approximation. The numerical results are obtained for different values of physical parameters such as Rayleigh number, Hartmann number arising from MHD and magnetic number arising from FHD to see the effect of both FHD and MHD on the flow and heat transfer. Results show that the flow is retarded with an increase in Hartmann number which results in a decrease in the strength of stream function and the core of the main vortex in streamlines moves towards the straight bottom walls. Further, secondary vortices are formed symmetrically near the vertical centerline at high magnetic numbers. The isotherms show a smooth distribution which are parallel to each other inside the annulus in the absence of FHD effect, while thermal plumes occur on the isotherm profile as the magnetic number increases. However, these plumes vanish with an increase in the Hartmann number. On the other hand, as the Rayleigh number increases, the heat transfer becomes convection dominated and as a result formation of thermal plumes is observed on the top of the inner wall.

Subject Keywords

FHD, MHD, Ferrofluid, Free convection, DRBEM

URI

https://hdl.handle.net/11511/87478

Conference Name

Advances in Boundary Element & Meshless Techniques XVII-BETEQ 2016

Collections

Department of Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

DRBEM simulation on mixed convection with hydromagnetic effect Bozkaya, Canan (2014-09-25) The steady and laminar mixed convection flow of a viscous, incompressible, and electrically conducting fluid under the effect of an inclined magnetic field is numerically investigated. Specifically, the two-dimensional flow in a lid-driven cavity with a linearly heated wall is considered. The dual reciprocity boundary element method is used for solving the coupled nonlinear differential equations in terms of stream function, vorticity, and temperature. The study focuses on the effects of the physical parame...
DRBEM solution of free convection in porous enclosures under the effect of a magnetic field Pekmen, B.; Tezer, Münevver (2013-01-01) The dual reciprocity boundary element method (DRBEM) is applied for solving steady free convection in special shape enclosures filled with a fluid saturated porous medium under the effect of a magnetic field. The left and right walls are maintained at constant or different temperatures while the top and bottom walls are kept adiabatic. The effect of the external magnetic field on the flow and temperature behavior is visualized with different Rayleigh numbers Ra, Hartmann numbers Ha and inclination angle phi...
DRBEM solution of biomagnetic fluid flow and heat transfer in cavities-CMMSE2016 Senel, P.; Tezer, Münevver (2017-08-01) In this paper, we investigate the fully developed, laminar, forced convection flow of an electrically non-conducting, viscous, biomagnetic fluid in the 2D cross-section (cavity) of a long impermeable pipe. The fluid is under the influence of a point magnetic source placed below the cavity. The dual reciprocity boundary element method (DRBEM) with constant and linear elements is used for solving the governing equations resulting from the Navier-Stokes and energy equations together with magnetization and buoy...
DRBEM solutions of Stokes and Navier-Stokes equations in cavities under point source magnetic field Senel, P.; Tezer, Münevver (2016-03-01) This paper describes an iterative dual reciprocity boundary element method (DRBEM) for the solutions of Stokes and Navier-Stokes equations in cavities under the effect of an external point source magnetic field placed very close to the bottom. The fluid is viscous, incompressible and electrically non-conducting but magnetizable, and the flow is steady, laminar and fully developed. Both the Stokes and Navier-Stokes equations are solved in terms of velocity and pressure of the fluid by using DRBEM. Pressure b...
DRBEM Solution of Incompressible MHD Flow with Magnetic Potential Pekmen, B.; Tezer, Münevver (2013-12-01) The dual reciprocity boundary element method (DRBEM) formulation is presented for solving incompressible magnetohydrodynamic (MHD) flow equations. The combination of Navier-Stokes equations of fluid dynamics and Maxwell's equations of electromagnetics through Ohm's law is considered in terms of stream function, vorticity and magnetic potential in 2D. The velocity field and the induced magnetic field can be determined through the relations with stream function and magnetic potential, respectively. The numeri...

Citation Formats

F. S. Oğlakkaya and C. Bozkaya, “DRBEM solution to ferrofluid flow and heat transfer in semi annulus enclosure in the presence of magnetic field,” Ankara, Türkiye, 2016, p. 107, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/87478.