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...

Introduction The nonlinear growth of neoclassical tearing modes (NTMs) in tokamaks is commonly discussed in the framework of the generalized Rutherford equation (GRE) [1, 2]. We perform a theoretical / numerical validation of the GRE by means of numerical simulations implementing the set of 2D reduced MHD equations for the helical magnetic flux ψ and the potential φ [3]. The code uses finite di...

The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) flow due to nonlinear porous shrinking sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into ordinary differential equation by using a classical similarity transformation along with appropriate boundary conditions. Both ...

For a general class of hyperbolic-parabolic systems including the compressible NavierStokes and compressible MHD equations, we prove existence and stability of noncharacteristic viscous boundary layers for a variety of boundary conditions including classical Navier-Stokes boundary conditions. Our first main result, using the abstract framework established by the authors in the companion work [G...

A double discontinuity is a compound structure composed of a slow shock layer and an adjoining rotational discontinuity layer on the postshock side. We use highresolution data from Geotail and Wind spacecraft to examine the interior structure within the finite thickness of the discontinuity at the plasma sheet-lobe boundary and found that recognizable MHD structures at the boundary can be stand...

In this paper we are concerned with the global well-posedness of solutions to magnetohydrodynamics (MHD) boundary layer equations in analytic function spaces. When initial data is a small perturbation around selected profile, and such profile governed by an one dimensional heat equation source term, establish time existence uniqueness two (2D) MHD equations. It noted that far-field state veloci...

the problem of combined heat and mass transfer of an electrically conducting fluid in mhdnatural convection adjacent to a vertical surface is analyzed, taking into account the effects of ohmic heatingin the presence of suction or injection. an approximate numerical solution for the steady laminar boundarylayerflow over a wall of the wedge in the presence of species concentration and mass diffus...

We consider a Prandtl model derived from MHD in the Prandtl-Hartmann regime that has damping term due to effect of Hartmann boundary layer. A global-in-time well-posedness is obtained Gevrey function space with optimal index 2. The proof based on cancellation mechanism through some auxiliary functions study equation and an observation about structure loss one order tangential derivatives twice ...

in this paper, a viscous flow simulation is presented using the lattice boltzmann equation (lbe). a finite volume approach is adapted to discretize the lbe on a cell-centered, arbitrary shaped, rectangular tessellation. the formulation includes upwind scheme and high order descretization schemes for the flux term and collision operator respectively. a consistent open and solid boundary treatmen...