Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface

Because of the floating magnetic nanomaterial, ferrofluids have magneto-viscous properties,
enabling controllable temperature changes as well as nano-structured fluid characteristics.
The study’s purpose is to evolve and solve a theoretical model of bioconvection nanofluid flow with
a magnetic dipole effect in the presence of Curie temperature and using the Forchheimer-extended
Darcy law subjected to a vertical cone surface. The model also includes the nonlinear thermal
radiation, heat suction/injection, viscous dissipation, and chemical reaction effects. The developed
model problem is transformed into nonlinear ordinary differentials, which have been solved using
the homotopy analysis technique. In this problem, the behavior of function profiles are graphically
depicted and explained for a variety of key parameters. For a given set of parameters, tables representthe
expected numerical values and behaviors of physical quantities. The nanofluid velocity
decreases as the ferrohydrodynamic, local inertia, and porosity parameters increase and decrease
when the bioconvection Rayleigh number increases. Many key parameters improved the thermal
boundary layer and temperature. The concentration is low when the chemical reaction parameter
and Schmidt number rises. Furthermore, as the bioconvection constant, Peclet and Lewis numbers
rise, so does the density of motile microorganisms.