Numerical performance of thermal conductivity in Bioconvection flow of cross nanofluid containing swimming microorganisms over a cylinder with melting phenomenon

This study investigates the effects of melting phenomena and non-linear thermal radiation in Cross nanofluid bioconvection flow with motile microorganisms a convective boundary over cylinder. Brownian motion thermophoresis diffusion are also taken into account this mathematical model. A governing partial differential equation is used to represent given phenomena. The proper dimensionless transformation then employed convert PDE controlling system an ordinary one. Bvp4c numerically solves redesigned ODE problems using shooting strategy computational tool MATLAB. Figures versus velocity, temperature distribution, nanoparticle concentration, microbe concentration profiles analyze expound on notably involved aspects thoroughly. It has been demonstrated that increasing estimates mixed convection parameter can enhance velocity. By Prandtl number, nanoparticles decrease. high Peclet value lowers microorganism's profile.