In this work it is proven that the governing equations for fluid velocity and non-trivial shear stress corresponding to some isothermal MHD unidirectional motions of incompressible second-grade fluids through a porous medium have identical forms. This important remark used provide exact steady-state solutions with on boundary when similar are known. Closed-form expressions provided both Darcy’s...

Magnetohydrodynamic MHD flow of a RedOx electrolyte in a straight conduit is investigated theoretically. Inert electrodes are deposited along segments of the opposing walls of a straight conduit that is filled with a RedOx electrolyte solution. The conduit is positioned in a uniform magnetic field. When a potential difference is applied across the opposing electrodes, the resulting current inte...

General solutions are established for an initial boundary value problem by means of the integral transforms. They correspond to isothermal MHD unidirectional motion incompressible second-grade fluids between infinite horizontal parallel plates embedded in a porous medium. The fluid motion, which some situations becomes symmetric with respect median plane, is generated two that apply time-depend...

We demonstrate a close analogy between a viscoelastic medium and an electrically conducting fluid containing a magnetic field. Specifically, the dynamics of the Oldroyd-B fluid in the limit of large Deborah number corresponds to that of a magnetohydrodynamic (MHD) fluid in the limit of large magnetic Reynolds number. As a definite example of this analogy, we compare the stability properties of ...

We consider the finite element method for time dependent MHD flow at small magnetic Reynolds number. We make a second (and common) simplification in the model by assuming the time scales of the electrical and magnetic components are such that the electrical field responds instantaneously to changes in the fluid motion. This report gives a comprehensive error analysis for both the semi-discrete ...

We present two-dimensional, cylindrically symmetric simulations of hydrodynamic and magnetohydrodynamic (MHD) wide-angle winds interacting with a collapsing environment. These simulations have direct relevance to young stellar objects (YSOs). The results may also be of use in the study of collimated outflows from proto-planetary and planetary nebulae. We study a range of wind configurations con...

The main purpose of this work is to completely solve two motion problems some differential type fluids when velocity or shear stress given on the boundary. In order do that, isothermal MHD motions incompressible second grade over an infinite flat plate are analytically investigated porous effects taken into consideration. fluid due moving in its plane with arbitrary time-dependent applying a fl...