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
Numerical Solution and Stability Analysis of Transient MHD Duct Flow
Date
2018-11-01
Author
Tezer, Münevver
Metadata
Show full item record
Item Usage Stats
211
views
0
downloads
Cite This
This paper simulates the 2D transient magnetohydrodynamic (MHD) flow in a rectangular duct in terms of the velocity of the fluid and the induced magnetic field by using the radial basis function (RBF) approximation. The inhomogeneities in the Poisson’s type MHD equations are approximated using the polynomial functions (1+r) and the particular solution is found satisfying both the equations and the boundary conditions (no-slip and insulated walls). The Euler scheme is used for advancing the solution to steady-state with a time increment and a relaxation parameter which are determined for achieving stable solution. It is shown that, as Hartmann number increases, the fluid becomes stagnant at the center of the duct, the flow is flattened and boundary layers are developed on the Hartmann and side walls. These are the well-known characteristics of the MHD duct flow. The stability analysis is also carried in terms of the spectral radius of the coefficient matrix of the discretized coupled system. Stable solutions are obtained with RBF by using quite large time increment and suitable relaxation parameters on the expense of explicit Euler time-integration scheme used.
Subject Keywords
Stability
,
Euler time-integration
,
RBF
,
MHD duct flow
URI
https://hdl.handle.net/11511/80591
http://fbed.balikesir.edu.tr/index.php/dergi/article/view/807
Journal
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Stability of Unsteady MHD Flow in a Rectangular Duct
Tezer, Münevver (2018-06-29)
In this study, the time dependent and coupled magnetohydrodynamic (MHD) flow equations are solved in the cross-section of a rectangular pipe (duct) by using the radial basis function approximation (RBF). The MHD studies electrically conducting fluids in the presence of a magnetic field. It has wide range of industrial applications such as MHD generators, MHD pumps, plasma physics and nuclear fusion [1]. The velocity and the induced magnetic field are obtained by approximating the inhomogeneities using thin ...
Numerical solution of magnetohydrodynamic flow problems using the boundary element method
Tezer, Münevver (2005-03-18)
A boundary element solution is given for a magnetohydrodynamic (MHD) flow problem in a rectangular duct having insulating walls, in terms of velocity and induced magnetic field. The coupled velocity and magnetic field equations are first transformed into decoupled nonhomogeneous convection-diffusion type equations and then finding particular solutions, the homogeneous equations are solved using the boundary element method (BEM). The fundamental solutions of the decoupled homogeneous equations themselves are...
BEM solution of MHD flow in a pipe coupled with magnetic induction of exterior region
Tezer, Münevver (2013-05-01)
In this paper, numerical solutions are presented for the MHD flow in a pipe surrounded by an electrically conducting medium, and under the influence of a transverse magnetic field. The boundary element method is used which discretizes only the pipe wall and is suitable for the infinite exterior region. Coupled MHD equations for the velocity and induced magnetic field inside the pipe, and the induced magnetic field equation for the outside medium are solved simultaneously taking into account also coupled bou...
Numerical Solution of MHD Incompressible Convection Flow in Channels
Gurbuz, Merve; Tezer, Münevver (2019-1-01)
The purpose of this paper is to study numerically the influence of the magnetic field, buoyancy force and viscous dissipation on the convective flow and temperature of the fluid in a square cavity, lid-driven cavity, and lid-driven cavity with an obstacle at the center. The continuity, momentum and energy equations are coupled including buoyancy and magnetic forces, and energy equation contains Joule heating and viscous dissipation. The equations are solved in terms of stream function, vorticity and tempera...
Numerical Simulation of Rarefied Laminar Flow past a Circular Cylinder
Çelenligil, Mehmet Cevdet (2014-07-18)
Numerical simulations have been obtained for two-dimensional laminar flows past a circular cylinder in the transitional regime. Computations are performed using the direct simulation Monte Carlo method for Knudsen numbers of 0.02 and 0.2 and Mach numbers of 0.102 and 0.4. For these conditions, Reynolds number ranges from 0.626 to 24.63 and the flows are steady. Results show that separation occurs in the wake region for the flow with Mach number of 0.4 and Knudsen number of 0.02, but for the other eases flow...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Tezer, “Numerical Solution and Stability Analysis of Transient MHD Duct Flow,”
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
, pp. 53–61, 2018, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/80591.