Bioconvection in Jeffrey nanofluid with gyrotactic organisms using CPC fractional derivative

Abstract

The current research examines the effects of heat and mass transfer on the motion of the Jeffrey fluid in the presence of solar radiation over a vertical plate. The study considers the presence of copper nanoparticles and gyrotactic organisms in the polyvinyl alcohol-water base fluid. A useful mathematical model for the thermal and flow behaviors of a PTSC (Parabolic trough solar collector) fixed on a solar panel is currently being developed in light of the rise in the number of devices that use solar plates. Solar energy systems that employ curved mirrors in the form of a parabolic trough to focus sunlight onto a single focal line are known as PTSCs (Parabolic trough solar collectors). The fluid passing through a plate running along the focal line is then heated by this focused sunlight. Fourier's and Fick's laws are used in mathematical modeling to solve heat, mass, and momentum equations. The dimensionless partial differential equations for energy, mass, and velocity fields are computed using the Laplace transform method. The graphical analysis concentrates on the significant effects of significant parameters, such as Grashof number, mass Grashof number, bioconvection Lewis number, electric and magnetic parameters, Prandtl number, Peclet number, and chemical reaction parameter associated with the flow properties. The temperature profile is shown to be improved by raising the volume fraction and radiation parameters. Non-Newtonian nanofluids have shown tremendous promise for heat transfer processes and have a wide range of uses in solar energy systems, thermal energy systems, and cooling microchips.