Abstract To simulate thermocapillary magnetohydrodynamic (MHD) convection in different shallow annular enclosures filled with silicon melt, a 3D numerical approach using an implicit finite volume formulation is used. Radiation emitted upward from the enclosure's free top surface, bottom one heated vertically and subjected to external magnetic field. The steady unsteady MHD flow four ( R = 0.5, ...

The velocity profile and pressure gradient of an unsteady state unidirectional MHD flow of Voigt fluids moving between two parallel surfaces under magnetic field effects are solved by the Laplace transform method. The flow motion between parallel surfaces is induced by a prescribed inlet volume flow rate that varies with time. Four cases of different inlet volume flow rates are considered in th...

Abstract This paper describes the effects of a magnetic field on unsteady free convection oscillatory systems. When temperature and species concentration fluctuate with time around non-zero constant, “Couette flow” across porous medium occurs. The system non-linear ODEs that governs flow is solved analytically using perturbation approach because amplitude fluctuations very tiny. Mean transient ...

PURPOSE Blood flow causes induced voltages via the magnetohydrodynamic (MHD) effect distorting electrograms (EGMs) made during magnetic resonance imaging. To investigate the MHD effect in this context MHD voltages occurring inside the human heart were simulated in an in vitro model system inside a 1.5 T MR system. METHODS The model was developed to produce MHD signals similar to those produce...

I consider the nonaxisymmetric linear theory of an isothermal magnetohydrodynamic (MHD) shear flow. The analysis is performed in the shearing box, a local model appropriate for a thin disk geometry. Linear perturbations in this model can be decomposed in terms of shearing waves (shwaves), which appear spatially as plane waves in a frame comoving with the shear. The time dependence of these wave...

An oscillatory MHD convective flow of an incompressible, viscoelastic and electrically conducting fluid in a vertical porous channel is analyzed. The two porous plates are subjected to a constant injection and suction velocity as shown in Fig.1. A magnetic field of uniform strength is applied perpendicular to the plates of the channel. The magnetic Reynolds number is assumed to be very small so...

In this paper, the Ritz-Galerkin method in Bernstein polynomial basis is applied for solving the nonlinear problem of the magnetohydrodynamic (MHD) flow of third grade fluid between the two plates. The properties of the Bernstein  polynomials together with the Ritz-Galerkin method are used to reduce the solution of the MHD Couette flow of non-Newtonian fluid in a porous medium to the solution o...

eunsteady slip-flow of second grade non-newtonian electrically conducting fluid over an oscillating sheet has been considered and solved numerically. a second-order slip velocity model is used to predict the flow characteristic over the wall. with the assumption of infinite length in the x-direction, the velocity of the fluid can be assumed as a function of y and t, hence, with proper change va...