[Turkmath:10123] GYTE Genel Seminer

[Seher Tutdere]

*Sayın liste üyeleri,*

*GYTE Matematik Bölümü Genel Seminerleri kapsamında, 5 Kasım Çarşamba günü
saat 14:00 da Önder Türk (GYTE) bir seminer  verecektir.   **Seminerin
detayları aşağıda olup tüm ilgilenenler davetlidir. *

*Saygılarımızla,*
*Seher Tutdere & İpek Tuvay*


*Dear all,*

*There will be a seminar in Gebze Institute of Technology (GIT) on 5th of
November  by Önder Türk **(GIT) on  "*Biomagnetic fluid flow in a channel
under the effect of externally applied  magnetic fields*". *

*Time  and  place:  November 5, at 14:00 in Department of Mathematics,
Building I, Seminar room.*

*Abstract: *


The mathematical modeling and numerical solutions of a biomagnetic fluid
flow problem is presented. The flow takes place in a channel between two
parallel plates and is under the influence of two different externally
applied magnetic fields. The steady, two-dimensional flow is viscous and
laminar, where the biomagnetic fluid is incompressible and is assumed to be
electrically conducting. The plates of the channel are kept at different
constant temperature. The flow enters the channel with parabolic and linear
profiles for the
velocity and temperature, respectively. No-slip boundary conditions for the
velocity are imposed on the plates. All the unknowns satisfy homogeneous
normal derivative conditions at the exit. The mathematical modeling of the
problem results in a coupled nonlinear system of partial differential
equations and is given in stream function-vorticity-temperature form. The
equations are solved using two powerful numerical tools, the finite
element method (FEM) and the dual reciprocity boundary element method
(DRBEM) for several values of characteristic flow parameters such as
Reynolds number and magnetic numbers. Treatment of nonlinear terms as
inhomogeneity enables the use of only the fundamental solution of the
Laplace equation in DRBEM. The discretization of only the boundary of the
region is the main advantage of DRBEM giving small algebraic systems to be
solved at a small expense. Finite element method on the other hand, is
capable of giving more accurate results by discretizing the region affected
by the magnetic field very finely which results in large sized algebraic
systems requiring high computational cost. The results indicate that the
flow is appreciably affected with the presence of a uniform magnetic field.

Keywords: DRBEM, FEM, Biomagnetic fluid flow.


All interested are kindly invited,
Best regards,
Seher Tutdere & İpek Tuvay
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