Stefan blowing impact on bioconvective Maxwell nanofluid flow over an exponentially stretching cylinder with variable thermal conductivity

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.

Automated summary

“This research investigates the magnetohydrodynamic boundary layer flow of a bioconvective Maxwell nanofluid over an exponentially stretched horizontal cylinder. The study analyzes the effects of Stefan blowing and mass slip conditions on velocity, concentration, and temperature distributions through numerical calculations and graphical illustrations. The results reveal the contrasting impacts of these parameters on flow characteristics and concentration profiles, as well as the influence of thermal conductivity and bio-convective parameters on temperature and microorganism numbers.”