MHD natural convection flow in a vertical micro-concentric-annuli in the presence of radial magnetic field: An exact solution

摘要: Abstract This paper deals with a theoretical investigation of steady fully developed MHD natural convection flow viscous, incompressible, electrically conducting fluid in micro-concntric-annuli the presence radial magnetic field. The velocity slip and temperature jump at micro-concentric annuli surface are taken into account. Exact solutions derived for energy momentum equations under relevant boundary conditions. solution obtained is graphically represented effects various controlling parameters such as radius ratio (η), Hartmann number (M), rarefaction parameter (βvKn), fluid-wall interaction (F) on formation discussed. significant result from study that (βvKn) increases cylinders while wall decreases inside micro-concntric-annuli. Furthermore, it found increase leads to volume rate.