In this study, a steady magnetohydrodynamic (MHD) flow due to stretchable
rotating disk in the presence of gyrotactic microorganisms is investigated.
The governing equations modeling the flow are solved numerically using the
newly introduced simple iteration method (SIM) that seeks to linearize a
system using relaxation technique that effectively decouples the system. To
verify the convergence and accuracy of the method, solution error and
residual error analysis are carried out, respectively. The obtained results
suggest that the SIM is a highly efficient method that produces convergent
and highly accurate solutions. The effects of various parameters as well as
combined parameter effects on the solution profiles are also investigated.
An increase in the Hall and permeability parameters leads to a corresponding
rise in the microorganism?s density and nanoparticle volume fraction.