Abstract
The research focuses on the rheological characteristics of Williamson nanofluid bioconvection flow past a stretching cylinder embedded in Darcy-Forchheimer medium. The thermal radiation properties are used to make changes to the energy equation. The peak topic of Arrhenius activation energy is also included, as are convective boundary conditions. The idea of microorganisms is introduced to stabilize the nanoparticle suspensions. To numerically solve transformed nonlinear equations of momentum, energy, nanoparticle concentration, and motile microbe density, the Runge Kutta Fehlberg technique is utilized. The effects of several important parameters on the velocity profile, thermal profile, volumetric nanoparticle concentration, and microbe distribution are all included and analyzed in depth. Graphs show the numerical results for skin friction coefficient, heat transfer rate, Sherwood number, and microbe density number as a function of various factors. The results show that increasing the Darcy-Forchheimer parameter and the magnetic parameter reduces the fluid velocity and the thickness of the momentum barrier layer. The spread of microorganisms is reduced when the Peclet number is changed. Furthermore, larger bioconvection Lewis numbers were observed to increase the density of motile microorganisms.