Dual Diffusion effects on radiated Bio-convective Magnetohydrodynamics Powell-Eyring nanofluid flow along a vertical cone surface

Non-Newtonian fluids play a crucial role in a wide range of applications involving the exchange of heat and mass. Nanoparticles are one of the key strategies for improving the performance of non-Newtonian fluids in terms of heat and mass transport. Nanoparticles, such as aluminum oxideand titanium dioxide, have exceptional thermal properties due to their high thermal conductivity. To thoroughly understand and optimize the behavior of non-Newtonian nanofluids over a cone surface, we employ numerical techniques. we also investigate the impacts of magnetohydrodynamics, thermal radiation (0.5 ≤ Rd ≤ 1.5), and dual diffusion (0.4 ≤ Nb ≤ 0.8 and 0.3 ≤ Nt ≤ 0.7). Additionally, we examine the impact of a fluid containing microorganisms on mass transmission and heat transfer. In order to convert the interconnected, non-linear governing partial differential equations into non-linear ODE's. Then transform this into a set of first-order ODEs. Subsequently, we utilize the Keller Box finite difference approach to obtain a solution for the non-linear ODE. The results of our study indicate that incorporating thermal radiation and MHD (magnetohydrodynamics) leads to increased rates of heat and mass transfer by enhancing the diffusion of microorganisms. We validate our observations by comparing them to prior research.