The paper investigates the magnetohydrodynamic flow of two immiscible, electrically conducting fluids between isothermal and insulated moving plates in the presence of an applied electric and inclined magnetic field with the effects of induced magnetic field. Partial differential equations governing the flow and heat transfer and magnetic field conservation are transformed to ordinary differential equations and solved exactly in both fluid regions, under physically appropriate boundary and interface conditions. Closed-form expressions are obtained for the non-dimensional velocity, non-dimensional induced magnetic field and nondimensional temperature. The analytical results for various values of the Hartmann number, the angle of magnetic field inclination, loading parameter and the ratio of plates’ velocities are presented graphically to show their effect on the flow and heat transfer characteristics. [Projekat Ministarstva nauke Republike Srbije, br. TR 35016

Flow over a sphere is a typical bluff-body flow with many engineering applications. However, it has not been studied in depth, as compared to flow over a circular cylinder, because of the difficulties in the experimental set-up as well as in the computational approach for studying flow over a sphere. The main challenges are to understand the flow hydrodynamics and to clarify the flow pattern around a dimpled sphere because the flow pattern complying with the dimple structure on its surface is very complicated. In this paper experimental and numerical investigations of the fluid flow around a sphere with dimples, are represented. The sphere with dimples is placed in a quadratic cross section duct (measuring section) and numerical simulation results are obtained by solving RANS equations. Furthermore, experimental measurements are carried out using a Laser-Doppler Anemometer (LDA). Experimental and numerical results of flow velocity fields were compared for three different flow regimes (Re=8×103, 2×104 and 4×104). Numerical investigation was performed for wide range of Reynolds numbers (Re=270%106). The final purpose of this paper is experimental and numerical determination of velocity field, separation point, pressure and drag coefficient, the length of reverse flow region in the wake and RANS turbulent model which gives the best results for engineering practice

The magnetohydordynamic flow and heat transfer of two viscous incompressible fluids through porous medium has been investigated in the paper. Fluids flow through porous medium between two parallel fixed isothermal plates in the presence of an inclined magnetic and perpendicular electric field. Fluids are electrically conducting, while the channel plates are insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained. Solutions with appropriate boundary conditions for velocity and temperature fields have been obtained. The analytical results for various values of the Hartmann number, load factor, viscosity and porosity parameter have been presented graphically to show their effect on the flow and heat transfer characteristics.

In this paper, the steady flow and heat transfer of an incompressible electrically conducting micropolar fluid through a parallel plate channel is investigated. The upper and lower plates have been kept at the two constant different temperatures and the plates are electrically insulated. Applied magnetic field is perpendicular to the flow, while the Reynolds number is significantly lower than one i. e. considered problem is in induction-less approximation. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and three closed-form solutions are obtained. The velocity, micro-rotation and temperature fields in function of Hartmann number, the coupling parameter and the spin-gradient viscosity parameter are graphically shown and discussed.

The magnetohydrodynamic flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied magnetic field has been investigated. All three fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained in three fluid regions of the channel. Separate solutions with appropriate boundary conditions for each fluid have been obtained and these solutions have been matched at the interface using suitable boundary conditions. The analytical results for various values of the Hartmann number, the ratio of fluid heights and thermal conductivities have been presented graphically to show their effect on the flow and heat transfer characteristics.