Abstract
This research addresses the magnetohydrodynamic boundary layer flow of a bioconvective Maxwell nanofluid over an exponentially stretched horizontal cylinder accompanying Stefan blowing and slip conditions. To study the heat transport phenomenon, the thermal equation contains nonlinear thermal radiation with varying thermal conductivity. Using the bvp4c MATLAB scheme, the governing equations for the given scenario are numerically calculated. The consequences of parameters on velocity and motile density, as well as temperature and concentration distributions, are scrutinized and illustrated via graphs. The combined impacts of Stefan blowing and mass slip revealed that when the estimates of the Stefan blowing parameter escalate, the velocity and concentration profiles improve, however, the mass slip parameter has the opposite consequence on the concentration profile. Fluid temperature enhances the higher estimates of the thermal conductivity parameter. Furthermore, the Sherwood and gyrotactic microorganism's numbers grow as the bio-convective Lewis and Schmidt numbers escalate. By presenting a comparison Table in a limited situation, the legitimacy of the envisioned model is confirmed.