Pekmen, Bengisen

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https://hdl.handle.net/20.500.14411/7781
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Pekmen,B.
B., Pekmen
P.,Bengisen
Pekmen, Bengisen
B.,Pekmen
P., Bengisen
Bengisen, Pekmen
Pekmen, B.
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Araştırma Görevlisi
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Mathematics
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Former Staff
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Scholarly Output

10

Articles

9

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0/0

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0

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0

WoS Citation Count

127

Scopus Citation Count

148

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5

Scopus h-index

6

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0

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0

WoS Citations per Publication

12.70

Scopus Citations per Publication

14.80

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1

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0

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JournalCount
International Journal of Heat and Mass Transfer2
CMES - Computer Modeling in Engineering and Sciences2
Lecture Notes in Computational Science and Engineering2
Journal of Applied Mathematics1
Computers & Fluids1
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Subject: MHD

Scholarly Output Search Results

Now showing 1 - 3 of 3
  • Thumbnail Image
    Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Drbem Solution of Mhd Flow With Magnetic Induction and Heat Transfer
    (Tech Science Press, 2015) Pekmen, B.; Tezer-Sezgin, M.; Mathematics
    This study proposes the dual reciprocity boundary element (DRBEM) solution for full magnetohydrodynamics (MHD) equations in a lid-driven square cavity. MHD equations are coupled with the heat transfer equation by means of the Boussinesq approximation. Induced magnetic field is also taken into consideration. The governing equations in terms of stream function, temperature, induced magnetic field components, and vorticity are solved employing DRBEM in space together with the implicit backward Euler formula for the time derivatives. The use of DRBEM with linear boundary elements which is a boundary discretization method enables one to obtain small sized linear systems. This makes the whole procedure computationally efficient and cheap. The results are depicted with respect to varying physical parameters such as Prandt1 (0.005 <= Pr <= 1), Reynolds (100 <= Re <= 2500), magnetic Reynolds (1 <= Rein <= 100), Hartmann (10 <= Ha <= 100) and Rayleigh (10 <= Ra <= 10(6)) numbers for discussing the effect of each parameter on the flow and temperature behaviors of the fluid. It is found that an increase in Ha slows down the fluid motion and heat transfer becomes conductive. Centered square blockage causes secondary flows on its left and light even for small Re. Strong temperature gradients occur around the blockage and near the moving lid for increasing values of Ra.
  • Thumbnail Image
    Article
    Citation - WoS: 43
    Citation - Scopus: 48
    Mhd Flow and Heat Transfer in a Lid-Driven Porous Enclosure
    (Pergamon-elsevier Science Ltd, 2014) Pekmen, B.; Tezer-Sezgin, M.
    The mixed convection flow in a lid-driven square cavity filled with a porous medium under the effect of a magnetic field is studied numerically using the dual reciprocity boundary element method (DRBEM) with Houbolt time integration scheme. Induced magnetic field is also taken into consideration in terms of magnetic potential in solving magnetohydrodynamic (MHD) flow and temperature equations. Effects of the characteristic dimensionless parameters as Darcy (Da), Magnetic Reynolds (Rem), Grashof (Gr) and Hartmann (Ha) numbers, on the flow and heat transfer in the cavity are investigated at the final steady-state. It is found that the decrease in the permeability of porous medium and the increase in the intensity of the applied magnetic field cause the fluid to flow slowly. The convective heat transfer is reduced with an increase in Hartmann number. Magnetic potential circulates throughout the cavity with high magnetic permeability of the fluid. The combination of DRBEM with the Houbolt scheme has the advantage of using considerably small number of boundary elements and large time increments which results in small computational cost for solving the mixed convection MHD flow in a porous cavity. (C) 2013 Elsevier Ltd. All rights reserved.
  • Thumbnail Image
    Article
    Citation - WoS: 4
    Citation - Scopus: 5
    Drbem Solution of Incompressible Mhd Flow With Magnetic Potential
    (Tech Science Press, 2013) Pekmen, B.; Tezer-Sezgin, M.; Mathematics
    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 numerical results are visualized for several values of Reynolds (Re), Hartmann (Ha) and magnetic Reynolds number (Rem) in a lid-driven cavity, and in a channel with a square cylinder. The well-known characteristics of the fluid flow and MHD flow are exhibited. These are the shift of the core region of the flow and the development of the main vortex in the vorticity through the center of the cavity as Re increases. An increase in Ha causes Hartmann layers for the flow at the bottom and top walls. Higher values of Rem result in circulation of the magnetic potential at the center of the cavity. An increase in Re causes symmetric vortices behind the cylinder to elongate through the channel, and an increase in Hartmann number suppresses this elongation.