Abstract
Analysis has been conducted to investigate the nonuniform heat immersion phenomenon in bio-convective rheology of nanoparticles combined with gyro-tactic microorganisms. Inclined magnetic field effects are incorporated to predict magneto-nano properties. Simultaneous properties of motile microorganisms along with heat and mass transfer effects are investigated. Bio-convective phenomenon (addition of gyro-tactic microorganisms in the system to stabilize the nanoparticles) has been analyzed along with thermal stratification, viscous dissipation, and Joule heating processes. Mathematical modeling has been presented to obtain the solution numerically and analytically. Error analysis and comparison with published data have been presented to show the validity of the obtained results. Bar charts and velocity plots have been prepared for the emerging physical quantities. Numerically computed magnitudes of skin friction, local Sherwood number, motile microorganism density function, and local Nusselt number for various physical quantities have been presented in tabular form.