Influential study of novel microorganism and nanoparticles during heat and mass transport in Homann flow of visco-elastic materials

A novel analysis in terms of unsteady flow of viscoelastic fluid with combination of nanofluid particles is reported in this particular work. Additional physical influences are introduced by incorporating the impact of microorganism, bio convection, mixed convection, magnetic field, and heat absorption/generation. However, the physical boundary conditions according to geometric configuration are illustrated in the form of convective conditions. The converted ODE's from PDE's are not well posed, for which a perturbation approach through (MATHEMATICA) is used to make the new problem well posed accordingly. Moreover, the novel effects are exercised on the form of velocity, temperature, concentration, microorganism and displacement thickness graphs. Velocity components determined with reduction order by uplifting the bio convection and buoyancy ratio parameters respectively. The transient parameters declined the temperature, concentration and microorganism which reverse effect is noticed for velocity components. Reduction in microorganism is observed while leaping Lewis number and Peclet number with increases order.