Comparative investigation of fractional bioconvection and magnetohydrodynamic flow induced by hybrid nanofluids through a channel

The functional effects of medications, such as those that slow down and calm the body, have been investigated for the polarized diffusion coefficient based on the subsequent increase through magnetism. This study examines generalized Mittag-Lefer kernel-based fractional derivatives in MHD Brinkman-type fluids under bioconvection that contain hybrid titanium dioxide (TiO2) and silver (Ag) nanoparticles with water (H2O) and sodium alginate (NaC6H7O6) as the base fluids. Atangana-Baleanu (AB) and Caputo-Fabrizio (CF) fractional derivatives, which are two contemporary definitions of fractional-order derivatives with a memory effect, were used to explore the modified fractional model utilizing the Laplace transformation and certain numerical algorithms. The impacts of restrictions on various nanoparticles were investigated and graphically displayed. We observed that the volumetric fraction improvement controls the fluid velocity by slowing it down. The water-based hybrid nanofluid has a greater influence on the temperature and momentum fields than the sodium alginate-based hybrid nanofluid due to the physical characteristics of the explored nanoparticles and base fluids. Additionally, the memory effect causes a higher substantial value for the AB-fractional derivative of the velocity profile than the CF-fractional derivative.

Automated summary

The study investigates the effects of medication on the polarized diffusion coefficient and explores the modified fractional model in MHD Brinkman-type fluids containing hybrid titanium dioxide and silver nanoparticles. The impact of different nanoparticles on fluid velocity and temperature fields is examined, and it is observed that the volumetric fraction improvement controls the fluid velocity. The water-based hybrid nanofluid has a greater influence due to the physical characteristics of the nanoparticles and base fluids, and the memory effect leads to a higher substantial value for the AB-fractional derivative compared to the CF-fractional derivative.