Effect of Hartmann layer resolution for MHD flow in a straight, conducting duct at high Hartmann numbers

MHD duct flows at moderate Hartmann number

A numerical study of steady-state, fully developed, MHD duct flows is presented for the case of an applied transverse magnetic field and a two-dimensional variation of the flow parameters in the plane perpendicular to the flow direction, with no variations in fluid properties. Solutions are found for (i) rectangular ducts with no obstacles and (ii) rectangular ducts containing thin flat plates,...

Local iRBF-DQ method for MHD duct flows at high hartmann numbers

Magnetohydrodynamics (MHD) is the study of the interaction between moving, conducting fluids and magnetic fields. In this paper, the discussion is restricted to incompressible, viscous and electrically conducting fluids through pipes and ducts under an imposed uniform, oblique magnetic field. The MHD issues have become increasingly important because of the practical engineering applications suc...

Erratum to "A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers" [J. Comput. Physics 228 (2009) 8301-8320]

The purpose of this note is to point out an error in the problem description in the publication [1]. We will follow the notations and definitions of [1]. In the paragraph below Eq. (2.1), we state that ‘‘a = ( sina, cosa)>, a is the angle between the externally applied magnetic field b0 and the x-axis”. This statement should be corrected as follows: ‘‘the convection field is given by a :1⁄4 (a1...

Large-wavelength instabilities in free-surface Hartmann flow at low magnetic Prandtl numbers

We study the linear stability of the flow of a viscous electrically conducting capillary fluid on a planar fixed plate in the presence of gravity and a uniform magnetic field, assuming that the plate is either a perfect electrical insulator or a perfect conductor. We first confirm that the Squire transformation for magnetohydrodynamics is compatible with the stress and insulating boundary condi...

The Effects of Wall Conductivity and Thickness on Magnetohydrodynamic Flow in Rectangular Ducts at High Hartmann