DRBEM solution of free convection in porous enclosures under the effect of a magnetic field

Date

2013-01-01

Author

Pekmen, B.
Tezer, Münevver

Metadata

Show full item record

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

Item Usage Stats

217
views

0
downloads

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. The boundary only nature of DRBEM results in considerably small computational cost in obtaining numerical solution. The results are in good qualitative agreement with the available numerical results in the literature. It is found that the increase in the strength of the magnetic field causes the suppression on the motion of the fluid which points to the conductive heat transfer.

Subject Keywords

Free convection, Porous medium, Square enclosure, Trapezoidal enclosure

URI

https://hdl.handle.net/11511/51840

Journal

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

DOI

https://doi.org/10.1016/j.ijheatmasstransfer.2012.09.019

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

DRBEM solution to ferrofluid flow and heat transfer in semi annulus enclosure in the presence of magnetic field Oğlakkaya, Fatma Sidre; Bozkaya, Canan (null; 2016-07-11) 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 ele...
DRBEM and DQM solutions of natural convection flow in a cavity under a magnetic field Alsoy-Akgun, N.; Tezer, Münevver (Inderscience Publishers, 2013-01-01) The dual reciprocity boundary element method (DRBEM) and the differential quadrature method (DQM) are applied to solve the 2D, unsteady natural convection flow in enclosures under an externally applied magnetic field. Vorticity transport and energy equations are transformed to modified Helmholtz equations by utilising forward difference with relaxation parameters for the time derivatives, and approximating also Laplacian terms at two consecutive time levels. Thus, the need of another time integration scheme...
DRBEM solution to MHD flow in ducts with thin slipping side walls and separated by conducting thick Hartmann walls Senel, P.; Tezer-Sezgin, M. (Elsevier BV, 2019-11-01) In this study, the dual reciprocity boundary element method (DRBEM) solution to magnetohydrodynamic (MHD) flow is given in a single and two ducts stacked in the direction of external magnetic field. The duct walls perpendicular to the applied magnetic field (Hartmann walls) are conducting, thick and no-slip whereas the horizontal walls (side walls) are insulated, thin and allow the velocity slip. The DRBEM transforms the convection diffusion type MHD equations in the duct and Laplace equation in the thick w...
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 MHD Flow in an Array of Electromagnetically Coupled Rectangular Ducts Tezer, Münevver; ŞENEL, PELİN (2019-01-01) We present the dual reciprocity boundary element method (DRBEM) solution to magnetohydrodynamic (MHD) flow in a single and two parallel ducts which are separated by conducting walls of arbitrary thickness in the direction of external magnetic field. The DRBEM discretized coupled MHD convection-diffusion equations in the ducts and the Laplace equations on the shared walls are solved as a whole by using constant boundary elements with the coupled induced current wall conditions. It is shown that, the conducti...

Citation Formats

B. Pekmen and M. Tezer, “DRBEM solution of free convection in porous enclosures under the effect of a magnetic field,” INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, pp. 454–468, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51840.