Mass Transfer From a Rotating Disk to a Bingham Fluid

In the present investigation, an analytical numerical solution is presented for the mass transfer from a rotating disk to a Bingham fluid for the case of laminar boundary layer flow. The analytical approach includes the coupled effects of steady disk rotation and non-Newtonian fluid properties on the mass transfer rate. A dimensionless expression for the wall mass transfer rate based on the Sherwood number, Sh, is obtained in terms of the system parameters (Reynolds number, $Rep$⁠, and Schmidt number, $Scp$⁠) which depend on the dimensionless yield stress or Bingham number, $By$⁠. The analytical relation indicates that an increase in $By$ (up to the limit $By⩽1$⁠) leads to a slight increase in the wall mass transfer rate, and thereafter, for $By>1$⁠, the mass transfer rate is reduced.