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The present article delineates a numerical analysis of buoyancy-driven nanofluid flow of gyrotactic time-mixed bioconvection heat transfer in stagnation domain of an impulsively revolving sphere due to convective boundary condition. Zero mass flux boundary condition has been merged to gain physically realistic computations. Nanofluid has been expressed in terms of the impacts of Brownian movement and thermophoresis. The given system of partial differential equations depicting the flow are mutated into a dimensionless formulas. The solution methodology involved for the constituted equations is followed by implementing an implicit finite difference approach. The acquired computations are given in terms of surface shear stress, rate of heat transfer, the density rate number of the motile microorganisms, velocity, temperature, concentration and density of motile microorganisms fluctuations. Due to gained outcomes the rotation λ and time ξ parameters have a strong impact on the flow, heat and density of motile microorganisms transfer rates, λ and time lead to strengthen all of F″(ξ,0),-θ′(ξ,0) and -N′(ξ,0). Parameters, like rotation and mixed convection exert a vigor aspect on nanofluid velocity, temperature and microorganisms density and their fluctuations rate. The surface shear stress F″(ξ,0) is mightily influenced by magnetic field parameter M. Besides, comparison amid the earlier published data and the present numerical computations are evaluated for the limiting cases, which are noticed to be in an excellent agreement.