Abstract
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.
Highlights
Fluids that are often magnetized by the existence of an exterior magnetic field are known as ferrofluids, which is an abbreviation for fluid and ferromagnetic particles
Hayat et al [6] reported on radiation and magnetic dipole effects of Williamson ferromagnetic fluid flow across a stretched surface
A vertical cone has been used to study the flow of ferromagnetic nanofluid with bioconvection and magnetic dipole elements
Summary
Fluids that are often magnetized by the existence of an exterior magnetic field are known as ferrofluids, which is an abbreviation for fluid and ferromagnetic particles. These fluids are made up of colloidal fluids formed of nanosized ferromagnetic or ferrimagnetic particles that have been stopped inside the fluid transporter. Angular momentum changers, friction reducers, and so on are used in electronic equipment, analytical techniques, and medical science; some examples can be found in the references [1,2,3] Because of these numerous applications, many researchers and scientists have been focused on this subject. Hayat et al [6] reported on radiation and magnetic dipole effects of Williamson ferromagnetic fluid flow across a stretched surface
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