Impact of Williamson nanofluid dynamics over a cone and wedge with gyrotactic microorganisms

This paper investigates heat and mass transport in a Williamson convective nanofluid inside a vertical cone and wedge, accounting for a chemical reaction, a heat source, a transverse magnetic field, and gyrotactic microorganisms. In addition, Brownian and thermophoretic motion is incorporated into the energy equation. The flow is approximated by a set of partial differential equations and then converted into a system of ordinary differential equations through similarity transformations. Furthermore, the problem is solved numerically and graphically using the ‘bvp4c’ tool in MATLAB. The effects of the governing nondimensional parameters on the velocity, temperature, concentration, and microorganism profiles are examined. The velocity profile decreases with a higher Hartmann number, whereas the temperature increases. Furthermore, the concentration profile decreases with larger Sc. The Peclet number increases the microorganism profile, whereas the Lewis number does not. Also, these parameters affect the skin friction coefficient, Nusselt number, Sherwood number, and microorganism density number. Biological waste processing, nuclear cooling systems, oil and gas, fiber technology, aviation, high thermal aerodynamics, surface treatment, spray deposition techniques, and microsystems are just a few of the sectors and disciplines where this concept has real-world applications.