Impact of induced magnetic field on magnetohydrodynamic (MHD) natural convection flow in a vertical annular micro-channel in the presence of radial magnetic field

摘要: Abstract This study is devoted to investigate the effect of induced magnetic field on fully developed magnetohydrodynamic (MHD) natural convection flow electrically conducting fluid in a vertical annular micro-channel formed by two concentric cylinders presence imposed radial field. The velocity slip and temperature jump at surfaces are taken into account. influence arising due motion an consideration. governing equations set simultaneous ordinary differential their exact solutions dimensionless form have been obtained under relevant boundary conditions. expressions for field, current density skin friction obtained. A parametric physical parameters conducted representative numerical results temperature, density, volume rate illustrated graphically show interesting features radius ratio, rarefaction, wall interaction, Hartmann number Prandtl number. During course investigation, it found that fixed value number, profiles higher compared case when neglected.