Boundary element method solution of magnetohydrodynamic flow in a rectangular duct with conducting walls parallel to applied magnetic field

Tezer‐Sezgin, M.; Bozkaya, Canan

doi:10.1007/s00466-006-0139-5

Cited by 46 publications

(11 citation statements)

References 14 publications

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“…Some numerical methods have been used for MHD flow in ducts and pipes for several configurations of interest such as mixed wall conditions when the outside medium is insulating. Among them we can count the works by Sheu and Lin [9] with the finite difference method (FDM), Singh and Lal [10], Barrett [11] and Neslitürk and Tezer-Sezgin [12] with the FEM, and Liu and Zhu [13], Tezer-Sezgin and Aydin [14], and Tezer-Sezgin and Bozkaya [15] with the boundary element method (BEM). Some meshless methods have also been used for solving MHD flow equations in channels for arbitrary cross-section and arbitrary wall conductivities in [16,17].…”

Section: Introductionmentioning

confidence: 99%

A DRBEM solution for MHD pipe flow in a conducting medium

Aydın

Tezer‐Sezgin

2014

Journal of Computational and Applied Mathematics

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a b s t r a c tNumerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection-diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number Re, the magnetic pressure Rh of the fluid, and the magnetic Reynolds numbers Rm 1 and Rm 2 of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure.

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Section: Introductionmentioning

confidence: 99%

A DRBEM solution for MHD pipe flow in a conducting medium

Aydın

Tezer‐Sezgin

2014

Journal of Computational and Applied Mathematics

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“…Sezgin and Köksal [43] extended these studies to moderate Hartmann numbers using FEM. Other related MHD studies include those of Sezgin [40], Ramos and Winowich [25], Demendy and Nagy [16], Barrett [8], Sezgin and Aydin [42], Bozkaya and Sezgin [12] and Sezgin and Bozkaya [41], Verardi et al [45,46], etc.…”

Section: Introductionmentioning

confidence: 99%

Meshless Local Petrov–Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity

Dehghan

Mirzaei

2009

Applied Numerical Mathematics

127

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“…It may be considered as a MHD flow along a flat plate (y = 0 line) with a transverse external magnetic field applied perpendicular to the plate. The coupled equations are solved with the boundary element method by using a fundamental solution which treats the equations in coupled form [1,13]. The use of this fundamental solution makes it possible to obtain the solution for large values of the Hartmann number as M ≤ 700.…”

Section: Introductionmentioning

confidence: 99%

The boundary element solution of the magnetohydrodynamic flow in an infinite region

Tezer‐Sezgin

Bozkaya

2009

Journal of Computational and Applied Mathematics

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a b s t r a c tWe consider the magnetohydrodynamic (MHD) flow which is laminar, steady and incompressible, of a viscous and electrically conducting fluid on the half plane (y ≥ 0). The boundary y = 0 is partly insulated and partly perfectly conducting. An external circuit is connected so that current enters the fluid at discontinuity points through external circuits and moves up on the plane. The flow is driven by the interaction of imposed electric currents and a uniform, transverse magnetic field applied perpendicular to the wall, y = 0.The MHD equations are coupled in terms of the velocity and the induced magnetic field. The boundary element method (BEM) is applied here by using a fundamental solution which enables treating the MHD equations in coupled form with general wall conditions. Constant elements are used for the discretization of the boundary y = 0 only since the boundary integral equation is restricted to this boundary due to the regularity conditions at infinity. The solution is presented for the values of the Hartmann number up to M = 700 in terms of equivelocity and induced magnetic field contours which show the wellknown characteristics of the MHD flow. Also, the thickness of the parabolic boundary layer propagating in the field from the discontinuity points in the boundary conditions, is calculated.

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Boundary element method solution of magnetohydrodynamic flow in a rectangular duct with conducting walls parallel to applied magnetic field

Cited by 46 publications

References 14 publications

A DRBEM solution for MHD pipe flow in a conducting medium

A DRBEM solution for MHD pipe flow in a conducting medium

Meshless Local Petrov–Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity

The boundary element solution of the magnetohydrodynamic flow in an infinite region

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