Partially ionized bioconvection Eyring–Powell nanofluid flow with gyrotactic microorganisms in thermal system

In the fluidic system, Hall and Ion slip parameters play a critical role in reducing heat dissipation. In the present work, mathematical equations of Eyring–Powell nanofluid are used to simulate the behaviour of partially ionized bioconvection fluid for heat and mass transfer, gyrotactic microorganisms motion in the presence of a magnetic field, Hall and Ion slip, Cattaneo–Christov heat flux and heat source/sink effects. Convective boundary conditions are used. The governing partial differential equations with boundary conditions resulting from the flow of Eyring–Powell nanofluid are transformed into nonlinear system and then computed using the homotopy analysis method (HAM). The impacts of all the non-dimensional parameters on the velocities, temperature, nanoparticles concentration, and density of gyrotactic microorganisms are depicted and explained by using the graphs with varying values. There exists a nice agreement between the present and published work.