Numerical study of unsteady bioconvective transport of oxytactic microorganisms over a stretching cone

Abstract The bio‐convective transport of magnetohydrodynamic (MHD) Casson nanofluid carrying oxytactic microorganisms across a stretching cone with thermal radiation, and chemical reaction in Darcy–Brinkman–Forchheimer (DBF) porous medium is considered to predict the behavior of fluid. The random movement and thermophoresis processes are revealed by the Buongiorno model. By using a suitable similarity transformation, the governing PDEs are converted into coupled nonlinear ordinary differential equations (ODEs). The resulting ODEs are dealt with numerically, converting the boundary value problem to a simplified initial value problem using BVP4C and shooting technique with predetermined parameters such as thermal radiation, chemical reaction, and so forth. The study reveals that the velocity field is adversely influenced by the Forchheimer number and porosity parameter. The Sherwood number of oxygen concentration is significantly influenced by chemical reactions. Sherwood number of microorganisms is significantly influenced by bioconvection Peclet number.