Effects of variable thickness on bioconvection nanofluid flow in the presence of gyrotactic over a slendering stretching sheet

In this article, the bioconvection of gyrotactic microorganisms past a stretched sheet embedded in a medium occupied with a water-based nanofluid has been studied. A stretched sheet of variable thickness has been considered here to unwrap the interesting features of bioconvective nanoliquid flow in the presence of gyrotactic. Using appropriate similarity transformation, the leading PDEs (partial differential equations) are reduced to a set of nonlinear odes (ordinary differential equations). The odes are then solved using the Runge-Kutta method and the shooting technique. The impacts of Brownian motion parameter, Lewis number, etc. on velocity, temperature, nanoparticle concentration, and the micro-organisms' density profiles are analyzed and discussed in detail. Physical explanations have also been provided as far as practicable. The coefficients of local skin friction, Nusselt number, Sherwood number, and density of motile microorganisms have also been analyzed in detail through their graphical representations.