Laminar flow in a uniformly porous channel with an applied transverse magnetic field

Summary The flow of a viscous incompressible and electrically conducting fluid in a two-dimensional uniformly porous channel, having fluid sucked or injected with a constant velocity through its walls, is considered in the presence of a transverse magnetic field. A solution for small Reynolds number has been given by the authors in a previous paper. A solution valid for large suction Reynolds number and all values of Hartmann number is presented here and the resulting boundary layer is discussed. Also Yuan's solution for large negativeR is extened to include small values ofM₂/R.Nomenclature x, y distances parallel and perpendicular to the channel walls - u, v velocity components inx, y directions - p pressure - density - U(0) entrance velocity atx=0 - V suction velocity at the wall - V velocity field - J current density - E electric field - H magnetic field - H₀ applied magnetic field - electrical conductivity - _m magnetic permeability - 2h distance between the porous walls - kinematic viscosity - y/h - B _mH - B_{0 m}H₀ - R Vh/, Reynolds number - M _mH₀h(/)^1/2, Hartmann number - M/R - a - b - z 1–