This paper discusses the impact of unstable bioconvection microbial nanofluid drift with a revolving vertical funnel \(/\) cone in the spinning microbial nanofluid with a time-critical angular speed and chemical reaction, thermal radiation with the thermal, solute and microbial Biot numbers as the boundary conditions. The governing unsteady and the coupled partial differential equations equipped with non-linear terms are resolved mathematically using suitable similarity transformations. Further, these equations are analytically solved by the spectral quasilinearisation method (SQLM). The consequences of different physical constraints and other parameters are explained and analysed with the help of graphs. The surge of solute and microbial profiles was reflected in the rise of solutal Biot number and microbial Biot numbers, respectively, while the temperature profile of the fluid was enhanced for the increasing values of thermal, solutal and microbial Biot number parameters. The higher values of bioconvection Brownian motion increases the velocity and decreases the microbial profiles. The bioconvection Schmidt number and Peclet numbers enhance and discriminate the microbial profile correspondingly.
