Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Solution of magnetohydrodynamic flow problems using the boundary element method
Date
2006-05-01
Author
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
56
views
0
downloads
Cite This
A boundary element solution is implemented for magnetohydrodynamic (MHD) flow problem in ducts with several geometrical cross-section with insulating walls when a uniform magnetic field is imposed perpendicular to the flow direction. The coupled velocity and induced magnetic field equations are first transformed into uncoupled inhomogeneous convection-diffusion type equations. After introducing particular solutions, only the homogeneous equations are solved by using boundary element method (BEM). The fundamental solutions of the uncoupled equations themselves (convection-diffusion type) involve the Hartmann number (M) through exponential and modified Bessel functions. Thus, it is possible to obtain results for large values of M (M <= 300) using only the simplest constant boundary elements. It is found that as the Hartmann number increases, boundary layer formation starts near the walls and there is a flattening tendency for both the velocity and the induced magnetic field. Also, velocity becomes uniform at the center of the duct. These are the well-known behaviours of MHD flow. The velocity and the induced magnetic field contours are graphically visualized for several values of At and for different geometries of the duct cross-section.
Subject Keywords
General Engineering
,
Applied Mathematics
,
Analysis
,
Computational Mathematics
URI
https://hdl.handle.net/11511/44617
Journal
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
DOI
https://doi.org/10.1016/j.enganabound.2005.12.001
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary
Aydin, Cemre; Tezer, Münevver (Elsevier BV, 2018-08-01)
In this study, the MHD flow direct and Cauchy problems are solved in a rectangular duct with a perturbed, curved, and slip upper boundary. The aim is to recompute the slipping velocity and the slip length by using the asymptotic analysis with respect to the perturbation parameter e and solving MHD flow equations for the first order and the corrector solutions in the rectangular duct. Hence, without discretizing the curved boundary, we are able to obtain the solution of MHD flow in the duct with curved pertu...
Finite element method solution of electrically driven magnetohydrodynamic flow
Nesliturk, AI; Tezer, Münevver (Elsevier BV, 2006-08-01)
The magnetohydrodynamic (MHD) flow in a rectangular duct is investigated for the case when the flow is driven by the current produced by electrodes, placed one in each of the walls of the duct where the applied magnetic field is perpendicular, The flow is steady, laminar and the fluid is incompressible, viscous and electrically conducting. A stabilized finite element with the residual-free bubble (RFB) functions is used for solving the governing equations. The finite element method employing the RFB functio...
DRBEM solution of exterior nonlinear wave problem using FDM and LSM time integrations
Meral, Guelnihal; Tezer, Münevver (Elsevier BV, 2010-06-01)
The nonlinear wave equation is solved numerically in an exterior region For the discretization of the space derivatives dual reciprocity boundary element method (DRBEM) is applied using the fundamental solution of Laplace equation. The time derivative and the nonlinearity are treated as the nonhomogenity. The boundary integrals coming from the far boundary are eliminated using rational and exponential interpolation functions which have decay properties far away from the region of Interest. The resulting sys...
Finite element study of biomagnetic fluid flow in a symmetrically stenosed channel
Turk, O.; Tezer, Münevver; Bozkaya, Canan (Elsevier BV, 2014-03-15)
The two-dimensional unsteady, laminar flow of a viscous, Newtonian, incompressible and electrically conducting biofluid in a channel with a stenosis, under the influence of a spatially varying magnetic field, is considered. The mathematical modeling of the problem results in a coupled nonlinear system of equations and is given in stream function-vorticity-temperature formulation for the numerical treatment. These equations together with their appropriate boundary conditions are solved iteratively using the ...
Application of the boundary element method to parabolic type equations
Bozkaya, Nuray; Tezer-Sezgin, Münevver; Department of Mathematics (2010)
In this thesis, the two-dimensional initial and boundary value problems governed by unsteady partial differential equations are solved by making use of boundary element techniques. The boundary element method (BEM) with time-dependent fundamental solution is presented as an efficient procedure for the solution of diffusion, wave and convection-diffusion equations. It interpenetrates the equations in such a way that the boundary solution is advanced to all time levels, simultaneously. The solution at a requi...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Tezer, “Solution of magnetohydrodynamic flow problems using the boundary element method,”
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
, pp. 411–418, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44617.