Numerical study of hydromagnetic bioconvection flow of micropolar nanofluid past an inclined stretching sheet in a porous medium with gyrotactic microorganism

The present article centers on the examination of novel bioconvection phenomena involving gyrotactic microorganisms and a micropolar nanofluid model with hydro-magnetic flow. The flow traversed a stretchable inclined plate within the permeable medium. Heat absorption and thermal radiation are considered. The objective of this study is to assess the rate of heat transfer exhibited by nanofluid when unicellular microorganisms are present. Mathematical complex flow model is converted to nonlinear dimensional less system of differential equation through adopting the appropriate similarity variables. For the non-linear nanofluid problem, the (FDM) finite difference method (Lobatto IIIA) is applied with a range of collocation sites and an accuracy of order 4–5. (Lobatto IIIA) excels in solving coupled differential equations, even those with high nonlinearities. Nanofluid containing gyrotactic microbes is highly applicable in bioscience, geoscience and eco science. The effects of dimensional less parameters on flow field, energy distribution, nanofluid concentration and density of microorganism concentration profiles analyzed through the graphical and tabulation representation. This basic research will aid scientists and engineers in controlling fluid flow and improving complex systems that make use of it. •Distinctive numerical procedure for bioconvection phenomena in a micropolar nanofluid model with hydro-magnetic flow.•Gyrotactic microorganisms are involved on Darcy-Forchheimer flow through porous inclined plate.•Achieve the required solution thorough execution of Lobatto IIIA methodology via MATLAB software is an innovative work.•Numerical investigation of flow problem in the form of numerical and graphical results has been carried out to the study.