FEM Solution of Diffusion-Convection-Reaction Equations in Air Pollution



FEM solution of natural convection flow in square enclosures under magnetic field
Turk, O.; Tezer, Münevver (Emerald, 2013-01-01)
Purpose - The purpose of the paper is to obtain finite element method (FEM) solution of steady, laminar, natural convection flow in inclined enclosures in the presence of an oblique magnetic field. The momentum equations include the magnetic effect, and the induced magnetic field due to the motion of the electrically conducting fluid is neglected. Quadratic triangular elements are used to ensure accurate approximation for second order derivatives of stream function appearing in the vorticity equation.
FEM solution of MHD flow in an array of electromagnetically coupled rectangular ducts
Tezer-Sezgin, M.; Aydin, S. Han (Inderscience Publishers, 2020-01-01)
The magnetohydrodynamic (MHD) flow of an electrically conducting fluid is studied in an array of identical parallel ducts stacked in the direction of external magnetic field and are separated by conducting walls of arbitrary thickness. Such arrangement of electromagnetically coupled ducts arises in fusion blanket applications in which a liquid metal is used both as coolant and tritium generation. The finite element method (FEM) with SUPG stabilisation is used for solving the set of coupled MHD equations. Nu...
FEM solutions of magnetohydrodynamic and biomagnetic fluid flows in channels
Türk, Önder; Tezer Sezgin, Münevver; Department of Scientific Computing (2014)
In this thesis, solutions to steady and unsteady flow problems of incompressible viscous fluids are obtained numerically. In computational aspects, the primary focus is on the finite element analysis, however, spectral collocation and boundary element methods are also employed. The two-dimensional Navier-Stokes (N-S) equations in stream function-vorticity form are solved by using both finite element method (FEM) and Chebyshev spectral collocation method (CSCM). The accuracy of the FEM and CSCM methodologies...
FEM solution of MHD flow im rectangular ducts with different wall conductivities and slip conditions
Tezer, Münevver (null; 2017-05-31)
This paper presents numerical solution of the magnetohydrodynamic (MHD) flow in a rectangular duct under several combinations of insulated and perfectly conducting, and partly insulated partly conducting walls with Hartmann walls or side walls or all the walls exhibiting slip. A uniform magnetic field is applied horizontally and the flow is driven by a constant pressure gradient. The finite element method (FEM) is used with SUPG stabilization to obtain the velocity and the induced magnetic field for Hartman...
FEM solution to natural convection flow of a micropolar nanofluid in the presence of a magnetic field
TÜRK, ÖNDER; Tezer, Münevver (2017-03-01)
The two-dimensional, laminar, unsteady natural convection flow in a square enclosure filled with aluminum oxide ()-water nanofluid under the influence of a magnetic field, is considered numerically. The nanofluid is considered as Newtonian and incompressible, the nanoparticles and water are assumed to be in thermal equilibrium. The mathematical modelling results in a coupled nonlinear system of partial differential equations. The equations are solved using finite element method (FEM) in space, whereas, the ...
Citation Formats
Ö. Türk and M. Tezer, “FEM Solution of Diffusion-Convection-Reaction Equations in Air Pollution,” 2009, Accessed: 00, 2021. [Online]. Available: http://www.it.uu.se/research/tdb/enumath2009/abstracts.html.