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Finite Difference Solutions of 2D Magnetohydrodynamic Channel Flow in a Rectangular Duct
Date
2021-01-01
Author
Arslan, Sinem
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https://hdl.handle.net/11511/92643
Relation
Numerical Mathematics and Advanced Applications ENUMATH 2019
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Department of Mathematics, Book / Book chapter
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Finite Difference Solutions of 2D Magnetohydrodynamic Channel Flow in a Rectangular Duct
Arslan, Sinem (2019-10-04)
In this study, the MHD flow of an electrically conducting fluid is considered in a long channel (pipe) of rectangular cross-section along with the z-axis. The fluid is driven by a pressure gradient along the z-axis. The flow is steady, laminar, fully-developed and is influenced by an external magnetic field applied perpendicular to the channel axis. So, the velocity field V=(0,0,V) and the magnetic field B=(0, B_{0}, B) have only channel-axis components V and B depending only on the plane coordinates x an...
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Finite Difference Solution of 1D Magnetohydrodynamic Channel Flow with Slipping Walls
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FINITE VOLUME SIMULATION OF 2-D STEADY SQUARE LID DRIVEN CAVITY FLOW AT HIGH REYNOLDS NUMBERS
YAPICI, KERİM; Uludağ, Yusuf (FapUNIFESP (SciELO), 2013-10-01)
In this work, computer simulation results of steady incompressible flow in a 2-D square lid-driven cavity up to Reynolds number (Re) 65000 are presented and compared with those of earlier studies. The governing flow equations are solved by using the finite volume approach. Quadratic upstream interpolation for convective kinematics (QUICK) is used for the approximation of the convective terms in the flow equations. In the implementation of QUICK, the deferred correction technique is adopted. A non-uniform st...
FINITE DIFFERENCE METHOD SOLUTION OF MAGNETOHYDRODYNAMIC FLOW IN CHANNELS WITH ELECTRICALLY CONDUCTING AND SLIPPING WALLS
Arslan, Sinem; Tezer, Münevver; Department of Mathematics (2018-5-28)
In this thesis, the laminar, steady and fully developed magnetohydrodynamic (MHD) flow is considered in a pipe (channel) along with the z-axis under an external magnetic field applied perpendicular to the pipe. The velocity and the induced magnetic field depend only on the plane coordinates x and y on the cross-section of the pipe (duct) when the flow reaches to fully-developed case. This results in two-dimensional MHD duct flow. When the lateral channel walls are extended to infinity the flow is considered...
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S. Arslan,
Finite Difference Solutions of 2D Magnetohydrodynamic Channel Flow in a Rectangular Duct
. 2021.
