Merve Gurbuz-Caldag

• PhD
• TED University

In this study, neural network (NN) and curve fitting modeling of fluid flow characteristics of the magnetohydrodynamic (MHD) Stokes flow in a lid-driven cavity are utilized. Firstly, the MHD Stokes flow equations are numerically solved by the method of approximate particular solution for the variations of Hartmann number \(M\in [1,120]\) and the in...

In this study, a machine learning approach to unsteady magnetohydrodynamic (MHD) flow is investigated in a square duct under the effect of an inclined magnetic field for the first time. Induced magnetic field is also taken into consideration. The duct walls are impermeable and the velocity has no-slip boundary conditions. The global radial basis fu...

The influence of oriented magnetic field on the incompressible and electrically conducting flow is investigated in a square cavity with a moving top wall and a no-slip constricted bottom wall. Radial basis function (RBF) approximation is employed to velocity-stream function-vorticity formulation of MHD equations. Numerical results are shown in term...

One of the popular meshless methods for solving governing equations in applied sciences is a local radial basis function-finite difference (RBF-FD). In this paper, we proposed a new idea for an L- shaped (or like T- and Z-shaped) domain based on the domain decomposition. RBF-FD formulation is used at the interface points to get a better solution, w...

The magnetohydrodynamic flow of an incompressible, steady and electrically conducting fluid is considered in double lid-driven square cavity under an inclined magnetic field. The non-dimensional governing equations are solved numerically using a radial basis function (RBF) approximation meshless method in order to obtain the flow patterns. Hartmann...

Stokes flow in a lid-driven cavity under the effect of an inclined magnetic field is studied. The radial basis function (RBF) approximation is employed to the magnetohydrodynamic (MHD) equations which include Navier–Stokes equations of fluid dynamics and Maxwell’s equations of electromagnetics through Ohm’s law with the Stokes approximation. Numeri...

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 an...

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 solut...

We consider the steady, laminar, convection flow in a long channel of 2D rectangular constricted cross-section under the influence of an applied magnetic field. The Navier-Stokes equations including Lorentz and buoyancy forces are coupled with the temperature equation and are solved by using linear radial basis function (RBF) approximations in term...

This study considers the steady flow of a viscous, incompressible and electrically conducting fluid in a lid-driven square cavity under the effect of a uniform horizontally applied magnetic field. The governing equations are obtained from the Navier-Stokes equations including buoyancy and Lorentz force terms and the energy equation including Joule...

The 2D Magnetohydrodynamics Stokes flow equations are solved in a lid-driven cavity and backward-facing step channel in the presence of a uniform magnetic field with different orientations. The hydrodynamic and electromagnetic equations are solved simultaneously using Stokes approximation in terms of velocity, pressure, stream function and vorticit...